Español, Pep; Thachuk, Mark; de la Torre, J. A. The role of thermal fluctuations in the motion of a free body. (English) Zbl 07782759 Eur. J. Mech., A, Solids 103, Article ID 105184, 18 p. (2024). MSC: 74F05 74A15 70E15 PDFBibTeX XMLCite \textit{P. Español} et al., Eur. J. Mech., A, Solids 103, Article ID 105184, 18 p. (2024; Zbl 07782759) Full Text: DOI arXiv
Ivanova, Elena A.; Tur, Vsevolod D. The body-point model and its application to describe the motion of an electron near the nucleus of a hydrogen atom. (English) Zbl 07783410 ZAMM, Z. Angew. Math. Mech. 103, No. 10, Article ID e202200355, 28 p. (2023). MSC: 74A15 74A20 70E05 70E15 74B20 PDFBibTeX XMLCite \textit{E. A. Ivanova} and \textit{V. D. Tur}, ZAMM, Z. Angew. Math. Mech. 103, No. 10, Article ID e202200355, 28 p. (2023; Zbl 07783410) Full Text: DOI
Yseboodt, Marie; Baland, Rose-Marie; Le Maistre, Sébastien Mars orientation and rotation angles. (English) Zbl 07777237 Celest. Mech. Dyn. Astron. 135, No. 5, Paper No. 50, 48 p. (2023). MSC: 70F15 70E15 70-08 PDFBibTeX XMLCite \textit{M. Yseboodt} et al., Celest. Mech. Dyn. Astron. 135, No. 5, Paper No. 50, 48 p. (2023; Zbl 07777237) Full Text: DOI arXiv
Nuñez, Neider Nadid Romero; Vieira, Rodrigo S.; Martins, Daniel Equimomental systems representations of point-masses of planar rigid-bodies. (English) Zbl 07758763 Acta Mech. 234, No. 11, 5565-5580 (2023). MSC: 70E15 70B10 PDFBibTeX XMLCite \textit{N. N. R. Nuñez} et al., Acta Mech. 234, No. 11, 5565--5580 (2023; Zbl 07758763) Full Text: DOI
Altuev, Murat K.; Kibkalo, Vladislav A. Topological analysis of pseudo-Euclidean Euler top for special values of the parameters. (English. Russian original) Zbl 1528.37049 Sb. Math. 214, No. 3, 334-348 (2023); translation from Mat. Sb. 214, No. 3, 54-70 (2023). MSC: 37J39 37J35 37J20 70E15 70E40 70E50 PDFBibTeX XMLCite \textit{M. K. Altuev} and \textit{V. A. Kibkalo}, Sb. Math. 214, No. 3, 334--348 (2023; Zbl 1528.37049); translation from Mat. Sb. 214, No. 3, 54--70 (2023) Full Text: DOI MNR
Chernousko, Felix Reorientation of a rigid body by means of auxiliary masses. (English) Zbl 1526.70024 Meccanica 58, No. 2-3, 387-395 (2023). MSC: 70Q05 70E15 70M20 PDFBibTeX XMLCite \textit{F. Chernousko}, Meccanica 58, No. 2--3, 387--395 (2023; Zbl 1526.70024) Full Text: DOI
Nazari, Morad; Canales, David; McCann, Brennan; Butcher, Eric; Howell, Kathleen Framework for the full N-body problem in \(\mathsf{SE}(3)\) and its reduction to the circular restricted full three-body problem. (English) Zbl 1521.70015 Celest. Mech. Dyn. Astron. 135, No. 4, Paper No. 41, 27 p. (2023). MSC: 70F10 70F07 70E15 70M20 70-08 PDFBibTeX XMLCite \textit{M. Nazari} et al., Celest. Mech. Dyn. Astron. 135, No. 4, Paper No. 41, 27 p. (2023; Zbl 1521.70015) Full Text: DOI
Gutierrez Guillen, G. J.; Arroyo, E. Aldo; Mardešić, P.; Sugny, D. Signatures of physical constraints in rotating rigid bodies. (English) Zbl 1528.70005 J. Phys. A, Math. Theor. 56, No. 29, Article ID 295202, 28 p. (2023). MSC: 70E15 PDFBibTeX XMLCite \textit{G. J. Gutierrez Guillen} et al., J. Phys. A, Math. Theor. 56, No. 29, Article ID 295202, 28 p. (2023; Zbl 1528.70005) Full Text: DOI arXiv
Han, Xiaojing; Sánchez Jiménez, Oscar; Pagnacco, Emmanuel Response and EPSD of rotor-blade nonlinear system with non-stationary non-Gaussian stochastic excitation via PGHW method. (English) Zbl 07691991 Comput. Math. Appl. 142, 140-156 (2023). MSC: 42C40 70E15 74H15 70J10 74L10 PDFBibTeX XMLCite \textit{X. Han} et al., Comput. Math. Appl. 142, 140--156 (2023; Zbl 07691991) Full Text: DOI
Nikonova, E. A. Isosceles tetrahedron and an equimomental system of a rigid body. (English. Russian original) Zbl 1519.70006 Vestn. St. Petersbg. Univ., Math. 56, No. 1, 119-124 (2023); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 10(68), No. 1, 156-165 (2023). MSC: 70E15 70F15 70-08 PDFBibTeX XMLCite \textit{E. A. Nikonova}, Vestn. St. Petersbg. Univ., Math. 56, No. 1, 119--124 (2023; Zbl 1519.70006); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 10(68), No. 1, 156--165 (2023) Full Text: DOI
Ervedoza, Sylvain; Maity, Debayan; Tucsnak, Marius Large time behaviour for the motion of a solid in a viscous incompressible fluid. (English) Zbl 1512.35469 Math. Ann. 385, No. 1-2, 631-691 (2023). MSC: 35Q35 35B40 76D03 76D05 70E15 35A01 47D03 PDFBibTeX XMLCite \textit{S. Ervedoza} et al., Math. Ann. 385, No. 1--2, 631--691 (2023; Zbl 1512.35469) Full Text: DOI
Li, Shilun Dynamics and Probability in the Toss of a Coin with Symmetric Inhomogeneous Density. arXiv:2310.02662 Preprint, arXiv:2310.02662 [math.PR] (2023). MSC: 60E05 70E15 BibTeX Cite \textit{S. Li}, ``Dynamics and Probability in the Toss of a Coin with Symmetric Inhomogeneous Density'', Preprint, arXiv:2310.02662 [math.PR] (2023) Full Text: arXiv OA License
Neishtadt, Anatoly On a kinematic proof of Andoyer variables canonicity. arXiv:2306.08992 Preprint, arXiv:2306.08992 [math.DS] (2023). MSC: 70E15 70E17 BibTeX Cite \textit{A. Neishtadt}, ``On a kinematic proof of Andoyer variables canonicity'', Preprint, arXiv:2306.08992 [math.DS] (2023) Full Text: arXiv OA License
Federico, Salvatore; Alhasadi, Mawafag F. Inverse dynamics in rigid body mechanics. (English) Zbl 07807015 Theor. Appl. Mech. (Belgrade) 49, No. 2, 157-181 (2022). MSC: 70B10 70E15 92C10 PDFBibTeX XMLCite \textit{S. Federico} and \textit{M. F. Alhasadi}, Theor. Appl. Mech. (Belgrade) 49, No. 2, 157--181 (2022; Zbl 07807015) Full Text: DOI
Reinberger, W. C.; Holland, M. S.; Barlow, N. S.; Weinstein, S. J. On the power series solution to the nonlinear pendulum. (English) Zbl 07804777 Q. J. Mech. Appl. Math. 75, No. 4, 347-369 (2022). MSC: 65L05 65L10 70E15 PDFBibTeX XMLCite \textit{W. C. Reinberger} et al., Q. J. Mech. Appl. Math. 75, No. 4, 347--369 (2022; Zbl 07804777) Full Text: DOI
Mammadov, F. H. Dual quaternion closed form equations of spatial 7R loops. (English) Zbl 07794373 TWMS J. Pure Appl. Math. 13, No. 1, 38-52 (2022). MSC: 70B15 70E15 70M20 PDFBibTeX XMLCite \textit{F. H. Mammadov}, TWMS J. Pure Appl. Math. 13, No. 1, 38--52 (2022; Zbl 07794373) Full Text: Link
Burov, A. A.; Nikonov, V. I. On the approximation of a nearly dynamically symmetric rigid body by two balls. (English. Russian original) Zbl 1506.70006 Comput. Math. Math. Phys. 62, No. 12, 2154-2160 (2022); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 12, 2105-2111 (2022). MSC: 70E15 70F15 PDFBibTeX XMLCite \textit{A. A. Burov} and \textit{V. I. Nikonov}, Comput. Math. Math. Phys. 62, No. 12, 2154--2160 (2022; Zbl 1506.70006); translation from Zh. Vychisl. Mat. Mat. Fiz. 62, No. 12, 2105--2111 (2022) Full Text: DOI
Ruiz, Adrián; Costa Basquerotto, Cláudio H. C. Reduced motion equations of an axisymmetric body spinning on a horizontal surface via Lie symmetries. (English) Zbl 1502.70016 Acta Mech. 233, No. 9, 3853-3865 (2022). MSC: 70E15 PDFBibTeX XMLCite \textit{A. Ruiz} and \textit{C. H. C. Costa Basquerotto}, Acta Mech. 233, No. 9, 3853--3865 (2022; Zbl 1502.70016) Full Text: DOI
Rozenblat, G. M. On optimal rotation of a rigid body by applying internal forces. (English. Russian original) Zbl 1506.70035 Dokl. Math. 106, No. 1, 291-297 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 505, 92-99 (2022). MSC: 70Q05 70E15 49N90 PDFBibTeX XMLCite \textit{G. M. Rozenblat}, Dokl. Math. 106, No. 1, 291--297 (2022; Zbl 1506.70035); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 505, 92--99 (2022) Full Text: DOI
Mendez-Avalos, Diana; Henderson, Laura J.; Gallock-Yoshimura, Kensuke; Mann, Robert B. Entanglement harvesting of three Unruh-DeWitt detectors. (English) Zbl 1507.83031 Gen. Relativ. Gravitation 54, No. 8, Paper No. 87, 27 p. (2022). MSC: 83C47 81P40 70F07 81P15 70E15 62G07 PDFBibTeX XMLCite \textit{D. Mendez-Avalos} et al., Gen. Relativ. Gravitation 54, No. 8, Paper No. 87, 27 p. (2022; Zbl 1507.83031) Full Text: DOI arXiv
Song, Chen; Liang, Zhi-Peng; Lin, Hou-Yuan; Zhao, Chang-Yin; Dong, Hua-Peng Rotation state estimation of slow-rotating multi-reflector defunct spacecraft through laser ranging measurements from a single short arc. (English) Zbl 1507.70040 Celest. Mech. Dyn. Astron. 134, No. 3, Paper No. 30, 16 p. (2022). MSC: 70M20 70E15 PDFBibTeX XMLCite \textit{C. Song} et al., Celest. Mech. Dyn. Astron. 134, No. 3, Paper No. 30, 16 p. (2022; Zbl 1507.70040) Full Text: DOI
Tsiganov, Andrey V. Reduction of divisors and the Clebsch system. (English) Zbl 1490.37081 Regul. Chaotic Dyn. 27, No. 3, 307-319 (2022). MSC: 37J35 70E15 14H70 14D06 58K10 58K50 70E05 PDFBibTeX XMLCite \textit{A. V. Tsiganov}, Regul. Chaotic Dyn. 27, No. 3, 307--319 (2022; Zbl 1490.37081) Full Text: DOI arXiv
Aslan, Selahattin; Bekar, Murat; Yayli, Yusuf Ruled surfaces corresponding to hyper-dual curves. (English) Zbl 1499.14060 Hacet. J. Math. Stat. 51, No. 1, 187-198 (2022). MSC: 14J26 53A25 70B10 70E15 65D17 70B15 PDFBibTeX XMLCite \textit{S. Aslan} et al., Hacet. J. Math. Stat. 51, No. 1, 187--198 (2022; Zbl 1499.14060) Full Text: DOI
Arioli, Gianni; Koch, Hans Some reversing orbits for a rattleback model. (English) Zbl 1496.37070 J. Nonlinear Sci. 32, No. 3, Paper No. 38, 23 p. (2022). MSC: 37J60 37C29 70E15 70K44 PDFBibTeX XMLCite \textit{G. Arioli} and \textit{H. Koch}, J. Nonlinear Sci. 32, No. 3, Paper No. 38, 23 p. (2022; Zbl 1496.37070) Full Text: DOI
McCann, Brennan; Nazari, Morad Control and maintenance of fully-constrained and underconstrained rigid body motion on Lie groups and their tangent bundles. (English) Zbl 1498.70008 J. Geom. Mech. 14, No. 1, 29-55 (2022). Reviewer: Ioannis Dassios (Dublin) MSC: 70E15 70E17 70G65 53C35 PDFBibTeX XMLCite \textit{B. McCann} and \textit{M. Nazari}, J. Geom. Mech. 14, No. 1, 29--55 (2022; Zbl 1498.70008) Full Text: DOI
Salas, Alvaro H.; Castillo, Jairo H.; Martínez, Lorenzo J. Analytical solution to the Lagrange top. (English) Zbl 1499.34006 Int. J. Math. Comput. Sci. 17, No. 2, 679-683 (2022). MSC: 34A05 33E05 70E15 PDFBibTeX XMLCite \textit{A. H. Salas} et al., Int. J. Math. Comput. Sci. 17, No. 2, 679--683 (2022; Zbl 1499.34006) Full Text: Link
Ryzhkov, L. M. Quaternion attitude determination by vector measurement. (English. Ukrainian original) Zbl 1521.70006 Int. Appl. Mech. 57, No. 5, 613-617 (2021); translation from Prikl. Mekh., Kiev 57, No. 5, 140-144 (2021). MSC: 70E15 PDFBibTeX XMLCite \textit{L. M. Ryzhkov}, Int. Appl. Mech. 57, No. 5, 613--617 (2021; Zbl 1521.70006); translation from Prikl. Mekh., Kiev 57, No. 5, 140--144 (2021) Full Text: DOI
Leshchenko, Dmytro; Ershkov, Sergey; Kozachenko, Tetiana Evolution of a heavy rigid body rotation under the action of unsteady restoring and perturbation torques. (English) Zbl 1517.70007 Nonlinear Dyn. 103, No. 2, 1517-1528 (2021). MSC: 70E15 PDFBibTeX XMLCite \textit{D. Leshchenko} et al., Nonlinear Dyn. 103, No. 2, 1517--1528 (2021; Zbl 1517.70007) Full Text: DOI
Provatidis, Christopher G. Free fall of a symmetrical gyroscope in vacuum. (English) Zbl 1518.70004 Eur. J. Phys. 42, No. 6, Article ID 065011, 29 p. (2021). MSC: 70E05 70E15 PDFBibTeX XMLCite \textit{C. G. Provatidis}, Eur. J. Phys. 42, No. 6, Article ID 065011, 29 p. (2021; Zbl 1518.70004) Full Text: DOI
Ee, June-Haak; Jung, Dong-Won; Kim, U-Rae; Kim, Dohyun; Lee, Jungil Three-body inertia tensor. (English) Zbl 1523.70005 Eur. J. Phys. 42, No. 5, Article ID 055016, 18 p. (2021). MSC: 70E15 70-01 PDFBibTeX XMLCite \textit{J.-H. Ee} et al., Eur. J. Phys. 42, No. 5, Article ID 055016, 18 p. (2021; Zbl 1523.70005) Full Text: DOI arXiv
Castagno, J.; Atkins, E. Map-based planning for small unmanned aircraft rooftop landing. (English) Zbl 07608720 Vamvoudakis, Kyriakos G. (ed.) et al., Handbook of reinforcement learning and control. Cham: Springer. Stud. Syst. Decis. Control 325, 613-646 (2021). MSC: 68Txx 93Cxx 70E15 PDFBibTeX XMLCite \textit{J. Castagno} and \textit{E. Atkins}, Stud. Syst. Decis. Control 325, 613--646 (2021; Zbl 07608720) Full Text: DOI
Wang, Gang; Ho, K. C.; Chen, Xianjing Bias reduced semidefinite relaxation method for 3-D rigid body localization using AOA. (English) Zbl 07591566 IEEE Trans. Signal Process. 69, 3415-3430 (2021). MSC: 90C90 70E15 90C22 PDFBibTeX XMLCite \textit{G. Wang} et al., IEEE Trans. Signal Process. 69, 3415--3430 (2021; Zbl 07591566) Full Text: DOI
Aslan, Selahattin Kinematic applications of hyper-dual numbers. (English) Zbl 1497.53029 Int. Electron. J. Geom. 14, No. 2, 292-304 (2021). Reviewer: Clementina Mladenova (Sofia) MSC: 53A25 70B10 70E15 PDFBibTeX XMLCite \textit{S. Aslan}, Int. Electron. J. Geom. 14, No. 2, 292--304 (2021; Zbl 1497.53029) Full Text: DOI
Tarama, Daisuke; Françoise, Jean-Pierre Information geometry and Hamiltonian systems on Lie groups. (English) Zbl 1494.37042 Nielsen, Frank (ed.) et al., Geometric science of information. 5th international conference, GSI 2021, Paris, France, July 21–23, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12829, 273-280 (2021). MSC: 37J39 37J06 70E15 70G65 53B12 62B11 94A15 PDFBibTeX XMLCite \textit{D. Tarama} and \textit{J.-P. Françoise}, Lect. Notes Comput. Sci. 12829, 273--280 (2021; Zbl 1494.37042) Full Text: DOI
Aslan, Selahattin; Bekar, Murat; Yaylı, Yusuf Ruled surfaces in Minkowski 3-space and split quaternion operators. (English) Zbl 1491.53006 Adv. Appl. Clifford Algebr. 31, No. 5, Paper No. 74, 14 p. (2021). Reviewer: Pradip Kumar (Lucknow) MSC: 53A05 53A35 53B30 53A17 70E15 70E18 11R52 37E45 51B20 70B10 PDFBibTeX XMLCite \textit{S. Aslan} et al., Adv. Appl. Clifford Algebr. 31, No. 5, Paper No. 74, 14 p. (2021; Zbl 1491.53006) Full Text: DOI
Ismail, A. I. Application of a large-parameter technique for solving a singular case of a rigid body. (English) Zbl 1490.70018 Adv. Math. Phys. 2021, Article ID 8842700, 6 p. (2021). MSC: 70E15 34C25 34E20 PDFBibTeX XMLCite \textit{A. I. Ismail}, Adv. Math. Phys. 2021, Article ID 8842700, 6 p. (2021; Zbl 1490.70018) Full Text: DOI
Murakami, Cássio Analytical solution of the Euler-Poinsot problem. (English) Zbl 1490.70002 J. Geom. Symmetry Phys. 60, 25-46 (2021). Reviewer: Martin Pfurner (Innsbruck) MSC: 70B10 70E15 70-08 PDFBibTeX XMLCite \textit{C. Murakami}, J. Geom. Symmetry Phys. 60, 25--46 (2021; Zbl 1490.70002) Full Text: arXiv
Galdi, Giovanni P.; Mazzone, Giusy Nonlinear stability analysis of a spinning top with an interior liquid-filled cavity. (English) Zbl 1473.35441 Math. Model. Nat. Phenom. 16, Paper No. 22, 21 p. (2021). MSC: 35Q35 35Q30 35Q70 35B35 35B40 76D05 76U05 70E15 PDFBibTeX XMLCite \textit{G. P. Galdi} and \textit{G. Mazzone}, Math. Model. Nat. Phenom. 16, Paper No. 22, 21 p. (2021; Zbl 1473.35441) Full Text: DOI arXiv
Ismail, Ahmad Izani The periodic rotary motions of a rigid body in a new domain of angular velocity. (English) Zbl 1465.70023 J. Egypt. Math. Soc. 29, Paper No. 2, 11 p. (2021). MSC: 70E17 70E20 70E05 70E15 PDFBibTeX XMLCite \textit{A. I. Ismail}, J. Egypt. Math. Soc. 29, Paper No. 2, 11 p. (2021; Zbl 1465.70023) Full Text: DOI
Ershkov, Sergey V.; Leshchenko, Dmytro; Giniyatullin, Ayrat R. A new solving procedure for the Kelvin-Kirchhoff equations in case of a falling rotating torus. (English) Zbl 1465.70015 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 1, Article ID 2150010, 12 p. (2021). MSC: 70E15 70K55 76B99 PDFBibTeX XMLCite \textit{S. V. Ershkov} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 1, Article ID 2150010, 12 p. (2021; Zbl 1465.70015) Full Text: DOI arXiv
Goldvarg, T. B.; Shapovalov, V. N. Rigid body inertia properties. (English. Russian original) Zbl 1479.70013 Russ. Phys. J. 63, No. 9, 1483-1489 (2021); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 63, No. 9, 33-37 (2020). MSC: 70E15 PDFBibTeX XMLCite \textit{T. B. Goldvarg} and \textit{V. N. Shapovalov}, Russ. Phys. J. 63, No. 9, 1483--1489 (2021; Zbl 1479.70013); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 63, No. 9, 33--37 (2020) Full Text: DOI
Carlisle, Justus; Hammer, Kyle; Hingtgen, Robert; Martins, Gabriel Skateboard Tricks and Topological Flips. arXiv:2108.06307 Preprint, arXiv:2108.06307 [math-ph] (2021). MSC: 53Z05 22C05 70E15 BibTeX Cite \textit{J. Carlisle} et al., ``Skateboard Tricks and Topological Flips'', Preprint, arXiv:2108.06307 [math-ph] (2021) Full Text: arXiv OA License
Damelin, Steven B.; Ragozin, David L.; Werman, Michael On a realization of motion and similarity group equivalence classes of labeled points in \(\mathbb R^k\) with applications to computer vision. arXiv:2103.12980 Preprint, arXiv:2103.12980 [cs.CV] (2021). MSC: 70E15 15A16 68T45 49K35 49N15 BibTeX Cite \textit{S. B. Damelin} et al., ``On a realization of motion and similarity group equivalence classes of labeled points in $\mathbb R^k$ with applications to computer vision'', Preprint, arXiv:2103.12980 [cs.CV] (2021) Full Text: arXiv OA License
Ismail, A. I. The motion of a rigid body with irrational natural frequency. (English) Zbl 1493.70015 Adv. Math. Phys. 2020, Article ID 8898733, 8 p. (2020). MSC: 70E15 34C25 PDFBibTeX XMLCite \textit{A. I. Ismail}, Adv. Math. Phys. 2020, Article ID 8898733, 8 p. (2020; Zbl 1493.70015) Full Text: DOI
Danilyuk, D. A.; Pilpani, Y. Y. Asymptotically uniform motions of a rigid body in A. Klebsch, A. M. Lyapunov and V. A. Steklov solutions of Kirchhof-Poisson equations. (Russian. English summary) Zbl 1491.70006 Tr. Inst. Prikl. Mat. Mekh. 34, 51-62 (2020). MSC: 70E15 PDFBibTeX XMLCite \textit{D. A. Danilyuk} and \textit{Y. Y. Pilpani}, Tr. Inst. Prikl. Mat. Mekh. 34, 51--62 (2020; Zbl 1491.70006)
Shmatkov, A. M. Periodic solutions to the optimal control problem of rotation of a rigid body using internal mass. (English. Russian original) Zbl 1472.49049 Mosc. Univ. Mech. Bull. 75, No. 3, 75-79 (2020); translation from Vestn. Mosk. Univ., Ser. I 75, No. 3, 63-66 (2020). MSC: 49K21 70E15 35B10 PDFBibTeX XMLCite \textit{A. M. Shmatkov}, Mosc. Univ. Mech. Bull. 75, No. 3, 75--79 (2020; Zbl 1472.49049); translation from Vestn. Mosk. Univ., Ser. I 75, No. 3, 63--66 (2020) Full Text: DOI
Kafi, H. R.; Hosseini, S. A. A. Non-stationary nonlinear analysis of a composite rotating shaft passing through critical speed. (English) Zbl 1481.74268 Appl. Math. Modelling 85, 338-359 (2020). MSC: 74H45 70E15 PDFBibTeX XMLCite \textit{H. R. Kafi} and \textit{S. A. A. Hosseini}, Appl. Math. Modelling 85, 338--359 (2020; Zbl 1481.74268) Full Text: DOI
Baland, Rose-Marie; Yseboodt, Marie; Le Maistre, Sébastien; Rivoldini, Attilio; Van Hoolst, Tim; Dehant, Véronique The precession and nutations of a rigid Mars. (English) Zbl 1470.70006 Celest. Mech. Dyn. Astron. 132, No. 9, Paper No. 47, 51 p. (2020). MSC: 70E15 70F15 PDFBibTeX XMLCite \textit{R.-M. Baland} et al., Celest. Mech. Dyn. Astron. 132, No. 9, Paper No. 47, 51 p. (2020; Zbl 1470.70006) Full Text: DOI
Godlewski, Edwige; Parisot, Martin; Sainte-Marie, Jacques; Wahl, Fabien Congested shallow water model: on floating body. (English) Zbl 1464.35223 SMAI J. Comput. Math. 6, 227-251 (2020). MSC: 35Q35 70E15 74F10 76B07 76M12 76M20 PDFBibTeX XMLCite \textit{E. Godlewski} et al., SMAI J. Comput. Math. 6, 227--251 (2020; Zbl 1464.35223) Full Text: DOI
Munitsyna, M. A. Transition processes in tippe-top dynamics. (English. Russian original) Zbl 1465.70017 Mech. Solids 55, No. 8, 1178-1184 (2020); translation from Prikl. Mat. Mekh. 84, No. 4, 433-440 (2020). MSC: 70E15 PDFBibTeX XMLCite \textit{M. A. Munitsyna}, Mech. Solids 55, No. 8, 1178--1184 (2020; Zbl 1465.70017); translation from Prikl. Mat. Mekh. 84, No. 4, 433--440 (2020) Full Text: DOI
Molodenkov, A. V.; Sapunkov, Ya. G.; Molodenkova, T. V.; Perelyaev, S. E. Analytical solutions in the Darboux problem and the Bortz equation and the approach to orientation algorithms based on them. (English. Russian original) Zbl 1465.70016 Mech. Solids 55, No. 7, 1013-1020 (2020); translation from Prikl. Mat. Mekh. 83, No. 4, 586-596 (2019). MSC: 70E15 PDFBibTeX XMLCite \textit{A. V. Molodenkov} et al., Mech. Solids 55, No. 7, 1013--1020 (2020; Zbl 1465.70016); translation from Prikl. Mat. Mekh. 83, No. 4, 586--596 (2019) Full Text: DOI
Chelnokov, Yu. N. Regular quaternion models of perturbed orbital motion of a rigid body in the Earth’s gravitational field. (English. Russian original) Zbl 1465.70014 Mech. Solids 55, No. 7, 958-976 (2020); translation from Prikl. Mat. Mekh. 83, No. 4, 562-585 (2019). MSC: 70E15 70F15 70E20 PDFBibTeX XMLCite \textit{Yu. N. Chelnokov}, Mech. Solids 55, No. 7, 958--976 (2020; Zbl 1465.70014); translation from Prikl. Mat. Mekh. 83, No. 4, 562--585 (2019) Full Text: DOI
Levskii, M. V. On improving the maneuverability of a space vehicle managed by inertial executive bodies. (English. Russian original) Zbl 1458.93186 J. Comput. Syst. Sci. Int. 59, No. 5, 796-815 (2020); translation from Izv. Ross. Akad. Nauk, Teor. Sist. Upr. 2020, No. 5, 157-176 (2020). MSC: 93C95 70E15 PDFBibTeX XMLCite \textit{M. V. Levskii}, J. Comput. Syst. Sci. Int. 59, No. 5, 796--815 (2020; Zbl 1458.93186); translation from Izv. Ross. Akad. Nauk, Teor. Sist. Upr. 2020, No. 5, 157--176 (2020) Full Text: DOI
Zegzhda, S. A.; Petrova, V. I.; Yushkov, M. P. Application of a special form of differential equations to study movements of a loaded Stewart platform. (English. Russian original) Zbl 1465.70020 Vestn. St. Petersbg. Univ., Math. 53, No. 1, 82-90 (2020); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 7(65), No. 1, 128-140 (2020). MSC: 70E15 PDFBibTeX XMLCite \textit{S. A. Zegzhda} et al., Vestn. St. Petersbg. Univ., Math. 53, No. 1, 82--90 (2020; Zbl 1465.70020); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 7(65), No. 1, 128--140 (2020) Full Text: DOI
Zhuravlev, Viktor F.; Rozenblat, Grigory M. Estimates of solutions during motion of the Euler-Poinsot top and explanation of the experiment with Dzhanibekov’s nut. (English) Zbl 1465.70021 Russ. J. Nonlinear Dyn. 16, No. 3, 517-525 (2020). MSC: 70E15 PDFBibTeX XMLCite \textit{V. F. Zhuravlev} and \textit{G. M. Rozenblat}, Russ. J. Nonlinear Dyn. 16, No. 3, 517--525 (2020; Zbl 1465.70021) Full Text: DOI MNR
Ratiu, Tudor S.; Tarama, Daisuke Geodesic flows on real forms of complex semi-simple Lie groups of rigid body type. (English) Zbl 1460.53074 Res. Math. Sci. 7, No. 4, Paper No. 32, 36 p. (2020). Reviewer: Miguel Paternain (Montevideo) MSC: 53D25 70E15 70E45 22E46 PDFBibTeX XMLCite \textit{T. S. Ratiu} and \textit{D. Tarama}, Res. Math. Sci. 7, No. 4, Paper No. 32, 36 p. (2020; Zbl 1460.53074) Full Text: DOI
Aslan, Selahattin; Bekar, Murat; Yaylı, Yusuf Hyper-dual split quaternions and rigid body motion. (English) Zbl 1444.11022 J. Geom. Phys. 158, Article ID 103876, 12 p. (2020). MSC: 11A67 53A35 70B10 70E15 51B20 PDFBibTeX XMLCite \textit{S. Aslan} et al., J. Geom. Phys. 158, Article ID 103876, 12 p. (2020; Zbl 1444.11022) Full Text: DOI
Boué, Gwenaël Cassini states of a rigid body with a liquid core. (English) Zbl 1448.70009 Celest. Mech. Dyn. Astron. 132, No. 3, Paper No. 21, 26 p. (2020). MSC: 70E15 86A25 PDFBibTeX XMLCite \textit{G. Boué}, Celest. Mech. Dyn. Astron. 132, No. 3, Paper No. 21, 26 p. (2020; Zbl 1448.70009) Full Text: DOI arXiv
Zwölfer, Andreas; Gerstmayr, Johannes A concise nodal-based derivation of the floating frame of reference formulation for displacement-based solid finite elements. Avoiding inertia shape integrals. (English) Zbl 1456.70008 Multibody Syst. Dyn. 49, No. 3, 291-313 (2020). MSC: 70E15 70E55 65N30 PDFBibTeX XMLCite \textit{A. Zwölfer} and \textit{J. Gerstmayr}, Multibody Syst. Dyn. 49, No. 3, 291--313 (2020; Zbl 1456.70008) Full Text: DOI
Xu, Xiaoming; Luo, Jiahui; Wu, Zhigang The numerical influence of additional parameters of inertia representations for quaternion-based rigid body dynamics. (English) Zbl 1456.70007 Multibody Syst. Dyn. 49, No. 3, 237-270 (2020). MSC: 70E15 PDFBibTeX XMLCite \textit{X. Xu} et al., Multibody Syst. Dyn. 49, No. 3, 237--270 (2020; Zbl 1456.70007) Full Text: DOI
Bravin, Marco On the 2D “viscous incompressible fluid + rigid body” system with Navier conditions and unbounded energy. (Sur le mouvement d’un corps rigide dans un écoulement bidimensionel d’un fluide visqueux incompressible avec conditions au bord de Navier et énergie infinie.) (English. French summary) Zbl 1455.35169 C. R., Math., Acad. Sci. Paris 358, No. 3, 303-319 (2020). Reviewer: Jürgen Socolowsky (Brandenburg an der Havel) MSC: 35Q30 70E15 76D03 76D05 76D10 35D30 PDFBibTeX XMLCite \textit{M. Bravin}, C. R., Math., Acad. Sci. Paris 358, No. 3, 303--319 (2020; Zbl 1455.35169) Full Text: DOI arXiv
de la Cruz, Manuel; Gaspar Rodríguez, Néstor de Jésus; Linares Romero, Román The extended rigid body and the pendulum revisited. (English) Zbl 1480.70009 Russ. J. Nonlinear Dyn. 16, No. 1, 133-159 (2020). MSC: 70E15 70E17 PDFBibTeX XMLCite \textit{M. de la Cruz} et al., Russ. J. Nonlinear Dyn. 16, No. 1, 133--159 (2020; Zbl 1480.70009) Full Text: DOI arXiv MNR
Kholostova, Olga V. On the dynamics of a rigid body in the Hess case at high-frequency vibrations of a suspension point. (English) Zbl 1460.70004 Russ. J. Nonlinear Dyn. 16, No. 1, 59-84 (2020). MSC: 70E15 PDFBibTeX XMLCite \textit{O. V. Kholostova}, Russ. J. Nonlinear Dyn. 16, No. 1, 59--84 (2020; Zbl 1460.70004) Full Text: DOI MNR
Buzzi, Claudio A.; Llibre, Jaume; Pazim, Rubens On the dynamics of the Euler equations on so(4). (English) Zbl 1447.37057 Dyn. Syst. 35, No. 2, 361-368 (2020). MSC: 37J35 70E15 70E40 70E45 PDFBibTeX XMLCite \textit{C. A. Buzzi} et al., Dyn. Syst. 35, No. 2, 361--368 (2020; Zbl 1447.37057) Full Text: DOI Link
Bayril, D.; Selig, J. M. On plane-symmetric rigid-body motions. (English) Zbl 1447.53017 J. Geom. 111, No. 2, Paper No. 29, 18 p. (2020). Reviewer: Luiz da Silva (Rehovot) MSC: 53A17 53A04 53A25 70E15 PDFBibTeX XMLCite \textit{D. Bayril} and \textit{J. M. Selig}, J. Geom. 111, No. 2, Paper No. 29, 18 p. (2020; Zbl 1447.53017) Full Text: DOI
Holzinger, Stefan; Schöberl, Joachim; Gerstmayr, Johannes The equations of motion for a rigid body using non-redundant unified local velocity coordinates. (English) Zbl 1437.70004 Multibody Syst. Dyn. 48, No. 3, 283-309 (2020). MSC: 70E15 PDFBibTeX XMLCite \textit{S. Holzinger} et al., Multibody Syst. Dyn. 48, No. 3, 283--309 (2020; Zbl 1437.70004) Full Text: DOI
Ohsawa, Tomoki The symmetric representation of the generalized rigid body equations and symplectic reduction. (English) Zbl 1504.70006 J. Phys. A, Math. Theor. 52, No. 36, Article ID 36LT01, 10 p. (2019). MSC: 70E15 37J06 PDFBibTeX XMLCite \textit{T. Ohsawa}, J. Phys. A, Math. Theor. 52, No. 36, Article ID 36LT01, 10 p. (2019; Zbl 1504.70006) Full Text: DOI arXiv
Chelnokov, Yu. N. Inertial navigation in space using the regular quaternion equations of astrodynamics. (English. Russian original) Zbl 1465.70013 Mech. Solids 54, No. 2, 157-168 (2019); translation from Prikl. Mat. Mekh. 82, No. 6, 706-720 (2018). MSC: 70E15 85A05 PDFBibTeX XMLCite \textit{Yu. N. Chelnokov}, Mech. Solids 54, No. 2, 157--168 (2019; Zbl 1465.70013); translation from Prikl. Mat. Mekh. 82, No. 6, 706--720 (2018) Full Text: DOI
Pavelka, Michal; Klika, Václav; Grmela, Miroslav Ehrenfest regularization of Hamiltonian systems. (English) Zbl 1453.70008 Physica D 399, 193-210 (2019). MSC: 70H05 80A10 70E15 70H14 PDFBibTeX XMLCite \textit{M. Pavelka} et al., Physica D 399, 193--210 (2019; Zbl 1453.70008) Full Text: DOI arXiv
Ol’Shanskii, V. Yu. New cases of regular precession of an asymmetric liquid-filled rigid body. (English) Zbl 1451.70005 Celest. Mech. Dyn. Astron. 131, No. 12, Paper No. 57, 19 p. (2019). MSC: 70E15 76B10 PDFBibTeX XMLCite \textit{V. Yu. Ol'Shanskii}, Celest. Mech. Dyn. Astron. 131, No. 12, Paper No. 57, 19 p. (2019; Zbl 1451.70005) Full Text: DOI
Lubowiecki, Paweł; Żołądek, Henryk Melnikov functions in the rigid body dynamics. (English) Zbl 1447.37058 Kielanowski, Piotr (ed.) et al., Geometric methods in physics XXXVII. Workshop and summer school, Białowieża, Poland, July 1–7, 2018. Dedicated to Daniel Sternheimer on the occasion of his 80th birthday. Cham: Birkhäuser. Trends Math., 75-82 (2019). MSC: 37J35 70E15 70E40 70E17 PDFBibTeX XMLCite \textit{P. Lubowiecki} and \textit{H. Żołądek}, in: Geometric methods in physics XXXVII. Workshop and summer school, Białowieża, Poland, July 1--7, 2018. Dedicated to Daniel Sternheimer on the occasion of his 80th birthday. Cham: Birkhäuser. 75--82 (2019; Zbl 1447.37058) Full Text: DOI
Zyza, Aleksandr Vasil’evich On generalized N. Kovalevski equations in two problems of rigid body dynamics. (Russian. English summary) Zbl 1460.70005 Vestn. Udmurt. Univ., Mat. Mekh. Komp’yut. Nauki 29, No. 1, 73-83 (2019). MSC: 70E15 PDFBibTeX XMLCite \textit{A. V. Zyza}, Vestn. Udmurt. Univ., Mat. Mekh. Komp'yut. Nauki 29, No. 1, 73--83 (2019; Zbl 1460.70005) Full Text: DOI MNR
Marino, Enzo; Kiendl, Josef; De Lorenzis, Laura Explicit isogeometric collocation for the dynamics of three-dimensional beams undergoing finite motions. (English) Zbl 1440.74185 Comput. Methods Appl. Mech. Eng. 343, 530-549 (2019). MSC: 74K10 65D07 74S25 65M70 70E15 PDFBibTeX XMLCite \textit{E. Marino} et al., Comput. Methods Appl. Mech. Eng. 343, 530--549 (2019; Zbl 1440.74185) Full Text: DOI Link
Chevallier, Emmanuel Towards parametric bi-invariant density estimation on \(\mathrm{SE}(2)\). (English) Zbl 1458.62068 Nielsen, Frank (ed.) et al., Geometric science of information. 4th international conference, GSI 2019, Toulouse, France, August 27–29, 2019. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11712, 695-702 (2019). MSC: 62F10 43A05 70E15 PDFBibTeX XMLCite \textit{E. Chevallier}, Lect. Notes Comput. Sci. 11712, 695--702 (2019; Zbl 1458.62068) Full Text: DOI
Li, Rupeng; Li, Dongguang; Fan, Jieru Research on instability boundaries of control force for trajectory correction projectiles. (English) Zbl 1435.70002 Math. Probl. Eng. 2019, Article ID 6362835, 12 p. (2019). MSC: 70B10 70E15 PDFBibTeX XMLCite \textit{R. Li} et al., Math. Probl. Eng. 2019, Article ID 6362835, 12 p. (2019; Zbl 1435.70002) Full Text: DOI
Zhu, Bo; Huang, Weiping; Sun, Zhenwen; Yao, Xinglong; Liu, Juan Analysis of rigid body swing effect on SCR response under top motion and wave action. (English) Zbl 1435.70015 Math. Probl. Eng. 2019, Article ID 3269108, 19 p. (2019). MSC: 70E15 76F65 PDFBibTeX XMLCite \textit{B. Zhu} et al., Math. Probl. Eng. 2019, Article ID 3269108, 19 p. (2019; Zbl 1435.70015) Full Text: DOI
Lee, Hong-Hsi; Chen, Chih-Fan; Hu, I.-Shing Solving the paradox of the folded falling chain by considering the link transition and link geometry. (English) Zbl 1428.70010 Acta Mech. 230, No. 5, 1717-1723 (2019). MSC: 70E15 PDFBibTeX XMLCite \textit{H.-H. Lee} et al., Acta Mech. 230, No. 5, 1717--1723 (2019; Zbl 1428.70010) Full Text: DOI arXiv
Parasyuk, I. O. Quasiperiodic forced oscillations of a solid body in the field of a quadratic potential. (English. Ukrainian original) Zbl 1459.70037 J. Math. Sci., New York 240, No. 3, 323-341 (2019); translation from Neliniĭni Kolyvannya 21, No. 1, 99-115 (2018). MSC: 70H03 70H12 37N20 70E15 PDFBibTeX XMLCite \textit{I. O. Parasyuk}, J. Math. Sci., New York 240, No. 3, 323--341 (2019; Zbl 1459.70037); translation from Neliniĭni Kolyvannya 21, No. 1, 99--115 (2018) Full Text: DOI
Zhang, Jianshu; Rui, Xiaoting; Gu, Lilin; He, Zihao Study on the geometrical nonlinearity and order reduction for the dynamics of a spatial curved beam. (English) Zbl 1423.70016 Multibody Syst. Dyn. 47, No. 2, 183-202 (2019). MSC: 70E15 70E55 74K10 PDFBibTeX XMLCite \textit{J. Zhang} et al., Multibody Syst. Dyn. 47, No. 2, 183--202 (2019; Zbl 1423.70016) Full Text: DOI
Kilin, Alexander A.; Pivovarova, Elena N. Qualitative analysis of the nonholonomic rolling of a rubber wheel with sharp edges. (English) Zbl 1423.70013 Regul. Chaotic Dyn. 24, No. 2, 212-233 (2019). MSC: 70E15 70E18 70E40 37Jxx PDFBibTeX XMLCite \textit{A. A. Kilin} and \textit{E. N. Pivovarova}, Regul. Chaotic Dyn. 24, No. 2, 212--233 (2019; Zbl 1423.70013) Full Text: DOI
Hedrea, Ciprian; Negrea, Romeo; Zaharie, Ioan Retraction: “The 1/2 correction forms in geometric quantization of the symmetric free rigid body”. (English) Zbl 1423.53113 Int. J. Geom. Methods Mod. Phys. 16, No. 6, Article ID 1993001, 1 p. (2019). MSC: 53D50 70B10 70E15 PDFBibTeX XMLCite \textit{C. Hedrea} et al., Int. J. Geom. Methods Mod. Phys. 16, No. 6, Article ID 1993001, 1 p. (2019; Zbl 1423.53113) Full Text: DOI
Wang, Xinwei; Liu, Jie; Zhang, Yong; Shi, Boyang; Jiang, Dianheng; Peng, Haijun A unified symplectic pseudospectral method for motion planning and tracking control of 3D underactuated overhead cranes. (English) Zbl 1419.49020 Int. J. Robust Nonlinear Control 29, No. 7, 2236-2253 (2019). MSC: 49K10 49S05 70E15 70E60 PDFBibTeX XMLCite \textit{X. Wang} et al., Int. J. Robust Nonlinear Control 29, No. 7, 2236--2253 (2019; Zbl 1419.49020) Full Text: DOI
Zlotnik, David Evan; Forbes, James Richard Higher order nonlinear complementary filtering on Lie groups. (English) Zbl 1482.93645 IEEE Trans. Autom. Control 64, No. 5, 1772-1783 (2019). MSC: 93E11 93C10 70E15 93B07 PDFBibTeX XMLCite \textit{D. E. Zlotnik} and \textit{J. R. Forbes}, IEEE Trans. Autom. Control 64, No. 5, 1772--1783 (2019; Zbl 1482.93645) Full Text: DOI arXiv
Chang, Dong Eui; Perlmutter, Matthew Feedback integrators for nonholonomic mechanical systems. (English) Zbl 1483.65202 J. Nonlinear Sci. 29, No. 3, 1165-1204 (2019). MSC: 65P10 37M15 70E15 70F25 93D15 PDFBibTeX XMLCite \textit{D. E. Chang} and \textit{M. Perlmutter}, J. Nonlinear Sci. 29, No. 3, 1165--1204 (2019; Zbl 1483.65202) Full Text: DOI arXiv
Sueur, Franck Dynamics of a rigid body in a two-dimensional incompressible perfect fluid and the zero-radius limit. (English) Zbl 1415.70008 Sci. China, Math. 62, No. 6, 1205-1218 (2019). MSC: 70E15 35Q35 76B47 PDFBibTeX XMLCite \textit{F. Sueur}, Sci. China, Math. 62, No. 6, 1205--1218 (2019; Zbl 1415.70008) Full Text: DOI
Chen, Yuanzhao; Zhang, Dingguo; Li, Liang Dynamics analysis of a rotating plate with a setting angle by using the absolute nodal coordinate formulation. (English) Zbl 1406.70011 Eur. J. Mech., A, Solids 74, 257-271 (2019). MSC: 70E15 74H45 PDFBibTeX XMLCite \textit{Y. Chen} et al., Eur. J. Mech., A, Solids 74, 257--271 (2019; Zbl 1406.70011) Full Text: DOI
Skrypnyk, T. “Symmetric” separation of variables for the Clebsch system. (English) Zbl 1429.70003 J. Geom. Phys. 135, 204-218 (2019). MSC: 70E15 37K10 PDFBibTeX XMLCite \textit{T. Skrypnyk}, J. Geom. Phys. 135, 204--218 (2019; Zbl 1429.70003) Full Text: DOI
Lara, Martin Complex variables approach to the short-axis-mode rotation of a rigid body. (English) Zbl 07664023 Appl. Math. Nonlinear Sci. 3, No. 2, 537-552 (2018). MSC: 70E15 70E20 37M15 PDFBibTeX XMLCite \textit{M. Lara}, Appl. Math. Nonlinear Sci. 3, No. 2, 537--552 (2018; Zbl 07664023) Full Text: DOI
Matvienko, O. V.; Andropova, A. O.; Andriasyan, A. V.; Mamadraimova, N. A. Mathematical modelling of the spherical particle motion along an inclined surface in the shear flow. (Russian. English summary) Zbl 1506.70007 Vestn. Tomsk. Gos. Univ., Mat. Mekh. 2018, No. 52, 75-88 (2018). MSC: 70E15 76T20 PDFBibTeX XMLCite \textit{O. V. Matvienko} et al., Vestn. Tomsk. Gos. Univ., Mat. Mekh. 2018, No. 52, 75--88 (2018; Zbl 1506.70007) Full Text: DOI MNR
Gorr, G. V.; Kotov, G. A. Precession motions of the rigid body in the potential force field. (Russian. English summary) Zbl 1491.70007 Mekh. Tverd. Tela 48, 26-35 (2018). MSC: 70E15 PDFBibTeX XMLCite \textit{G. V. Gorr} and \textit{G. A. Kotov}, Mekh. Tverd. Tela 48, 26--35 (2018; Zbl 1491.70007) Full Text: Link
Laraudogoitia, Jon Pérez Rigidity, instability and dimensionality. (English) Zbl 1474.70010 Synthese 195, No. 9, 4047-4062 (2018). MSC: 70E15 70E50 PDFBibTeX XMLCite \textit{J. P. Laraudogoitia}, Synthese 195, No. 9, 4047--4062 (2018; Zbl 1474.70010) Full Text: DOI
Ol’shanskii, V. Yu. On the regular precessions of an asymmetric liquid-filled rigid body. (English. Russian original) Zbl 1465.70018 Mech. Solids 53, Suppl. 2, 95-106 (2018); translation from Prikl. Mat. Mekh. 82, No. 5, 559-571 (2018). MSC: 70E15 74F10 76B10 PDFBibTeX XMLCite \textit{V. Yu. Ol'shanskii}, Mech. Solids 53, 95--106 (2018; Zbl 1465.70018); translation from Prikl. Mat. Mekh. 82, No. 5, 559--571 (2018) Full Text: DOI
Sirotin, A. N. On the differential equation for the square modulus of the extremal angular velocity vector in the least-energy reorientation problem for a circular top. (English. Russian original) Zbl 1465.70019 Mech. Solids 53, Suppl. 1, 39-48 (2018); translation from Prikl. Mat. Mekh. 82, No. 2, 177-186 (2018). MSC: 70E15 70Q05 93C85 PDFBibTeX XMLCite \textit{A. N. Sirotin}, Mech. Solids 53, 39--48 (2018; Zbl 1465.70019); translation from Prikl. Mat. Mekh. 82, No. 2, 177--186 (2018) Full Text: DOI
Gao, Xiumin; Jin, Dongping; Chen, Ti Analytical and experimental investigations of a space antenna system of four DOFs with internal resonances. (English) Zbl 1509.70024 Commun. Nonlinear Sci. Numer. Simul. 63, 380-403 (2018). MSC: 70K30 70E15 74K99 70-05 PDFBibTeX XMLCite \textit{X. Gao} et al., Commun. Nonlinear Sci. Numer. Simul. 63, 380--403 (2018; Zbl 1509.70024) Full Text: DOI
Sheheitli, H.; Touma, J. R. On the dynamics of a spinning top under the influence of rotation: resonant relative equilibrium states. (English) Zbl 1510.70009 Commun. Nonlinear Sci. Numer. Simul. 59, 424-436 (2018). MSC: 70E15 PDFBibTeX XMLCite \textit{H. Sheheitli} and \textit{J. R. Touma}, Commun. Nonlinear Sci. Numer. Simul. 59, 424--436 (2018; Zbl 1510.70009) Full Text: DOI
Kholshevnikov, K. V.; Milanov, Danila V.; Shaidulin, V. Sh. Laplace series for the level ellipsoid of revolution. (English) Zbl 1448.70010 Celest. Mech. Dyn. Astron. 130, No. 10, Paper No. 64, 11 p. (2018). MSC: 70E15 33C55 PDFBibTeX XMLCite \textit{K. V. Kholshevnikov} et al., Celest. Mech. Dyn. Astron. 130, No. 10, Paper No. 64, 11 p. (2018; Zbl 1448.70010) Full Text: DOI
Cho, Haeseong; Kim, Haedong; Shin, SangJoon Geometrically nonlinear dynamic formulation for three-dimensional co-rotational solid elements. (English) Zbl 1439.74398 Comput. Methods Appl. Mech. Eng. 328, 301-320 (2018). MSC: 74S05 65M60 70E15 PDFBibTeX XMLCite \textit{H. Cho} et al., Comput. Methods Appl. Mech. Eng. 328, 301--320 (2018; Zbl 1439.74398) Full Text: DOI
Dai, Qiyi; Cao, Qingjie; Chen, Yushu Frequency analysis of rotating truncated conical shells using the Haar wavelet method. (English) Zbl 1480.70008 Appl. Math. Modelling 57, 603-613 (2018). MSC: 70E15 65N35 65T60 PDFBibTeX XMLCite \textit{Q. Dai} et al., Appl. Math. Modelling 57, 603--613 (2018; Zbl 1480.70008) Full Text: DOI
Akbarzadeh, R. The topology of isoenergetic surfaces for the Borisov-Mamaev-Sokolov integrable case on the Lie algebra \(so(3, 1)\). (English. Russian original) Zbl 1428.70033 Theor. Math. Phys. 197, No. 3, 1727-1736 (2018); translation from Teor. Mat. Fiz. 197, No. 3, 385-396 (2018). MSC: 70H06 70E15 70G45 17B63 37J35 PDFBibTeX XMLCite \textit{R. Akbarzadeh}, Theor. Math. Phys. 197, No. 3, 1727--1736 (2018; Zbl 1428.70033); translation from Teor. Mat. Fiz. 197, No. 3, 385--396 (2018) Full Text: DOI
Shamolin, M. V. On a pendulum motion in multi-dimensional space. III: Dependence of force fields on the tensor of angular velocity. (Russian. English summary) Zbl 1471.70004 Vestn. Samar. Univ., Estestvennonauchn. Ser. 24, No. 2, 33-54 (2018). MSC: 70E15 70E40 PDFBibTeX XMLCite \textit{M. V. Shamolin}, Vestn. Samar. Univ., Estestvennonauchn. Ser. 24, No. 2, 33--54 (2018; Zbl 1471.70004) Full Text: DOI MNR