Abouelregal, Ahmed E.; Mondal, Sudip Thermoelastic vibrations in initially stressed rotating microbeams caused by laser irradiation. (English) Zbl 07815207 ZAMM, Z. Angew. Math. Mech. 102, No. 4, Article ID e202000371, 16 p. (2022). MSC: 74Kxx 74Hxx 74Fxx PDFBibTeX XMLCite \textit{A. E. Abouelregal} and \textit{S. Mondal}, ZAMM, Z. Angew. Math. Mech. 102, No. 4, Article ID e202000371, 16 p. (2022; Zbl 07815207) Full Text: DOI
Wang, Lüsen; Su, Zhu; Wang, Lifeng Flutter analysis of rotating beams with elastic restraints. (English) Zbl 1492.74034 AMM, Appl. Math. Mech., Engl. Ed. 43, No. 5, 761-776 (2022). MSC: 74F10 74H15 PDFBibTeX XMLCite \textit{L. Wang} et al., AMM, Appl. Math. Mech., Engl. Ed. 43, No. 5, 761--776 (2022; Zbl 1492.74034) Full Text: DOI
Panchore, Vijay Selection of radial basis functions for the accuracy of meshfree Galerkin method in rotating Euler-Bernoulli beam problem. (English) Zbl 1492.74141 Int. J. Appl. Comput. Math. 8, No. 3, Paper No. 121, 17 p. (2022). MSC: 74S99 74K10 74H45 PDFBibTeX XMLCite \textit{V. Panchore}, Int. J. Appl. Comput. Math. 8, No. 3, Paper No. 121, 17 p. (2022; Zbl 1492.74141) Full Text: DOI
Kundu, Bidisha; Ganguli, Ranjan Closed-form solutions of non-uniform axially loaded beams using Lie symmetry analysis. (English) Zbl 1457.74109 Acta Mech. 231, No. 11, 4421-4444 (2020). MSC: 74K10 74H05 74E05 22E70 PDFBibTeX XMLCite \textit{B. Kundu} and \textit{R. Ganguli}, Acta Mech. 231, No. 11, 4421--4444 (2020; Zbl 1457.74109) Full Text: DOI
Feyzollahzadeh, Mahdi; Bamdad, Mahdi A modified transfer matrix method to reduce the calculation time: a case study on beam vibration. (English) Zbl 1465.74071 Appl. Math. Comput. 378, Article ID 125238, 9 p. (2020). MSC: 74H45 74K10 74H15 PDFBibTeX XMLCite \textit{M. Feyzollahzadeh} and \textit{M. Bamdad}, Appl. Math. Comput. 378, Article ID 125238, 9 p. (2020; Zbl 1465.74071) Full Text: DOI
Atanasov, Marija Stamenković; Stojanović, Vladimir Nonlocal forced vibrations of rotating cantilever nano-beams. (English) Zbl 1484.74028 Eur. J. Mech., A, Solids 79, Article ID 103850, 11 p. (2020). MSC: 74H45 74K10 74H15 74M25 PDFBibTeX XMLCite \textit{M. S. Atanasov} and \textit{V. Stojanović}, Eur. J. Mech., A, Solids 79, Article ID 103850, 11 p. (2020; Zbl 1484.74028) Full Text: DOI
Zhang, Bo; Ding, Hu; Chen, Li-Qun Super-harmonic resonances of a rotating pre-deformed blade subjected to gas pressure. (English) Zbl 1430.74096 Nonlinear Dyn. 98, No. 4, 2531-2549 (2019). MSC: 74K10 70K50 70K30 70K20 PDFBibTeX XMLCite \textit{B. Zhang} et al., Nonlinear Dyn. 98, No. 4, 2531--2549 (2019; Zbl 1430.74096) Full Text: DOI
Bahaadini, Reza; Saidi, Ali Reza Aerothermoelastic flutter analysis of pre-twisted thin-walled rotating blades reinforced with functionally graded carbon nanotubes. (English) Zbl 1472.74060 Eur. J. Mech., A, Solids 75, 285-306 (2019). MSC: 74F10 74H45 74H15 74E30 74F05 74K10 76J20 PDFBibTeX XMLCite \textit{R. Bahaadini} and \textit{A. R. Saidi}, Eur. J. Mech., A, Solids 75, 285--306 (2019; Zbl 1472.74060) Full Text: DOI
Lee, Jung Woo; Lee, Jung Youn An exact transfer matrix expression for bending vibration analysis of a rotating tapered beam. (English) Zbl 1480.74113 Appl. Math. Modelling 53, 167-188 (2018). MSC: 74H45 74K10 PDFBibTeX XMLCite \textit{J. W. Lee} and \textit{J. Y. Lee}, Appl. Math. Modelling 53, 167--188 (2018; Zbl 1480.74113) Full Text: DOI
Roy, P. A.; Meguid, S. A. Analytical modeling of the coupled nonlinear free vibration response of a rotating blade in a gas turbine engine. (English) Zbl 1396.74060 Acta Mech. 229, No. 8, 3355-3373 (2018). MSC: 74H45 74K10 PDFBibTeX XMLCite \textit{P. A. Roy} and \textit{S. A. Meguid}, Acta Mech. 229, No. 8, 3355--3373 (2018; Zbl 1396.74060) Full Text: DOI
Kundu, Bidisha; Ganguli, Ranjan Analysis of weak solution of Euler-Bernoulli beam with axial force. (English) Zbl 1411.74033 Appl. Math. Comput. 298, 247-260 (2017). MSC: 74K10 74G25 PDFBibTeX XMLCite \textit{B. Kundu} and \textit{R. Ganguli}, Appl. Math. Comput. 298, 247--260 (2017; Zbl 1411.74033) Full Text: DOI
Adair, Desmond; Jaeger, Martin Simulation of tapered rotating beams with centrifugal stiffening using the Adomian decomposition method. (English) Zbl 1452.74060 Appl. Math. Modelling 40, No. 4, 3230-3241 (2016). MSC: 74K10 65M99 PDFBibTeX XMLCite \textit{D. Adair} and \textit{M. Jaeger}, Appl. Math. Modelling 40, No. 4, 3230--3241 (2016; Zbl 1452.74060) Full Text: DOI
Chen, Y.; Zhang, J.; Zhang, H.; Li, X.; Zhou, J. Extraction of natural frequencies and mode shapes of rotating beams by variational iteration method. (English) Zbl 1359.74201 Int. J. Struct. Stab. Dyn. 16, No. 3, Article ID 1450106, 13 p. (2016). MSC: 74K10 74S30 PDFBibTeX XMLCite \textit{Y. Chen} et al., Int. J. Struct. Stab. Dyn. 16, No. 3, Article ID 1450106, 13 p. (2016; Zbl 1359.74201) Full Text: DOI
Sarkar, Korak; Ganguli, Ranjan; Ghosh, Debraj; Elishakoff, Isaac Closed-form solutions and uncertainty quantification for gravity-loaded beams. (English) Zbl 1341.74101 Meccanica 51, No. 6, 1465-1479 (2016). MSC: 74K10 74H45 74H05 PDFBibTeX XMLCite \textit{K. Sarkar} et al., Meccanica 51, No. 6, 1465--1479 (2016; Zbl 1341.74101) Full Text: DOI
Sarkar, Korak; Ganguli, Ranjan Rotating beams and non-rotating beams with shared eigenpair for pinned-free boundary condition. (English) Zbl 1293.74200 Meccanica 48, No. 7, 1661-1676 (2013). MSC: 74H45 74K10 PDFBibTeX XMLCite \textit{K. Sarkar} and \textit{R. Ganguli}, Meccanica 48, No. 7, 1661--1676 (2013; Zbl 1293.74200) Full Text: DOI
Bambill, D. V.; Rossit, C. A.; Rossi, R. E.; Felix, D. H.; Ratazzi, A. R. Transverse free vibration of non-uniform rotating Timoshenko beams with elastically clamped boundary conditions. (English) Zbl 1293.74162 Meccanica 48, No. 6, 1289-1311 (2013). MSC: 74H45 74K10 74S30 PDFBibTeX XMLCite \textit{D. V. Bambill} et al., Meccanica 48, No. 6, 1289--1311 (2013; Zbl 1293.74162) Full Text: DOI
Rajasekaran, S. Buckling and vibration of axially functionally graded nonuniform beams using differential transformation based dynamic stiffness approach. (English) Zbl 1293.74127 Meccanica 48, No. 5, 1053-1070 (2013). MSC: 74G60 74H45 74K10 74E05 74S30 PDFBibTeX XMLCite \textit{S. Rajasekaran}, Meccanica 48, No. 5, 1053--1070 (2013; Zbl 1293.74127) Full Text: DOI
Ganesh, R.; Ganguli, Ranjan Stiff string approximations in Rayleigh-Ritz method for rotating beams. (English) Zbl 1290.70009 Appl. Math. Comput. 219, No. 17, 9282-9295 (2013). MSC: 70E18 70J99 PDFBibTeX XMLCite \textit{R. Ganesh} and \textit{R. Ganguli}, Appl. Math. Comput. 219, No. 17, 9282--9295 (2013; Zbl 1290.70009) Full Text: DOI
Kang, Bongsu Dynamic instability of a spinning thick disk under nonconservative traction. (English) Zbl 1359.74331 Int. J. Struct. Stab. Dyn. 12, No. 5, Article ID 1250040, 44 p. (2012). MSC: 74M10 74H55 70E17 PDFBibTeX XMLCite \textit{B. Kang}, Int. J. Struct. Stab. Dyn. 12, No. 5, Article ID 1250040, 44 p. (2012; Zbl 1359.74331) Full Text: DOI
Attarnejad, Reza; Shahba, Ahmad Dynamic basic displacement functions in free vibration analysis of centrifugally stiffened tapered beams; a mechanical solution. (English) Zbl 1271.74112 Meccanica 46, No. 6, 1267-1281 (2011). MSC: 74H15 74H45 74K10 PDFBibTeX XMLCite \textit{R. Attarnejad} and \textit{A. Shahba}, Meccanica 46, No. 6, 1267--1281 (2011; Zbl 1271.74112) Full Text: DOI
Tsai, Ming Hsu; Lin, Wen Yi; Zhou, Yu Chun; Hsiao, Kuo Mo A corotational finite element method combined with floating frame method for large steady-state deformation and free vibration analysis of a rotating-inclined beam. (English) Zbl 1235.74319 Math. Probl. Eng. 2011, Article ID 146505, 29 p. (2011). MSC: 74S05 74H45 74K10 PDFBibTeX XMLCite \textit{M. H. Tsai} et al., Math. Probl. Eng. 2011, Article ID 146505, 29 p. (2011; Zbl 1235.74319) Full Text: DOI
Ozgumus, Ozge Ozdemir; Kaya, Metin O. Flapwise bending vibration analysis of double tapered rotating Euler-Bernoulli beam by using the differential transform method. (English) Zbl 1163.74512 Meccanica 41, No. 6, 661-670 (2006). MSC: 74H45 74K10 74S30 74H15 PDFBibTeX XMLCite \textit{O. O. Ozgumus} and \textit{M. O. Kaya}, Meccanica 41, No. 6, 661--670 (2006; Zbl 1163.74512) Full Text: DOI
Song, O.; Librescu, L. Modeling and dynamic behavior of rotating blades carrying a tip mass and incorporating adaptive capabilities. (English) Zbl 0961.74032 Acta Mech. 134, No. 3-4, 169-197 (1999). Reviewer: Teodor Atanackovic (Novi Sad) MSC: 74H45 74K10 74M05 PDFBibTeX XMLCite \textit{O. Song} and \textit{L. Librescu}, Acta Mech. 134, No. 3--4, 169--197 (1999; Zbl 0961.74032) Full Text: DOI
Ho, Shing Huei; Chen, Cha’o Kuang Analysis of general elastically end restrained non-uniform beams using differential transform. (English) Zbl 1428.74092 Appl. Math. Modelling 22, No. 4-5, 219-234 (1998). MSC: 74H45 74K10 PDFBibTeX XMLCite \textit{S. H. Ho} and \textit{C. K. Chen}, Appl. Math. Modelling 22, No. 4--5, 219--234 (1998; Zbl 1428.74092) Full Text: DOI
Ren, Gexue; Zheng, Zhaochang A reformulated Arnoldi algorithm for non-classically damped eigenvalue problems. (English) Zbl 0903.73080 Int. J. Numer. Methods Eng. 40, No. 19, 3537-3555 (1997). MSC: 74S30 74H45 65F15 PDFBibTeX XMLCite \textit{G. Ren} and \textit{Z. Zheng}, Int. J. Numer. Methods Eng. 40, No. 19, 3537--3555 (1997; Zbl 0903.73080) Full Text: DOI
Tan, T. H.; Lee, H. P.; Leng, G. S. B. Dynamic stability of a radially rotating beam subjected to base excitation. (English) Zbl 0898.73031 Comput. Methods Appl. Mech. Eng. 146, No. 3-4, 265-279 (1997). MSC: 74H55 74K10 74H45 PDFBibTeX XMLCite \textit{T. H. Tan} et al., Comput. Methods Appl. Mech. Eng. 146, No. 3--4, 265--279 (1997; Zbl 0898.73031) Full Text: DOI
Bailey, C. D.; Witchey, R. D. Harmonic motion of nonconservative forced, damped systems subjected to nonpotential follower forces. (English) Zbl 0512.70029 Comput. Methods Appl. Mech. Eng. 42, 71-88 (1984). MSC: 70K40 70-08 74H45 PDFBibTeX XMLCite \textit{C. D. Bailey} and \textit{R. D. Witchey}, Comput. Methods Appl. Mech. Eng. 42, 71--88 (1984; Zbl 0512.70029) Full Text: DOI