Nazemizadeh, M.; Bakhtiari-Nejad, F.; Assadi, A.; shahriari, B. Nonlinear vibration of piezoelectric laminated nanobeams at higher modes based on nonlocal piezoelectric theory. (English) Zbl 1451.74142 Acta Mech. 231, No. 10, 4259-4274 (2020). MSC: 74K10 74H45 74E30 74F15 PDFBibTeX XMLCite \textit{M. Nazemizadeh} et al., Acta Mech. 231, No. 10, 4259--4274 (2020; Zbl 1451.74142) Full Text: DOI
Eltaher, M. A.; Omar, Fatema-Alzahraa; Abdalla, W. S.; Gad, E. H. Bending and vibrational behaviors of piezoelectric nonlocal nanobeam including surface elasticity. (English) Zbl 07583628 Waves Random Complex Media 29, No. 2, 264-280 (2019). MSC: 74-XX 78-XX PDFBibTeX XMLCite \textit{M. A. Eltaher} et al., Waves Random Complex Media 29, No. 2, 264--280 (2019; Zbl 07583628) Full Text: DOI
Imani Aria, A.; Biglari, H. Computational vibration and buckling analysis of microtubule bundles based on nonlocal strain gradient theory. (English) Zbl 1426.74182 Appl. Math. Comput. 321, 313-332 (2018). MSC: 74K10 74H45 74G60 74S05 74L15 92C20 92C10 PDFBibTeX XMLCite \textit{A. Imani Aria} and \textit{H. Biglari}, Appl. Math. Comput. 321, 313--332 (2018; Zbl 1426.74182) Full Text: DOI
Wang, Xinwei Novel differential quadrature element method for vibration analysis of hybrid nonlocal Euler-Bernoulli beams. (English) Zbl 1469.74132 Appl. Math. Lett. 77, 94-100 (2018). MSC: 74S99 74H15 74H45 74K10 PDFBibTeX XMLCite \textit{X. Wang}, Appl. Math. Lett. 77, 94--100 (2018; Zbl 1469.74132) Full Text: DOI
Behera, L.; Chakraverty, S. Recent researches on nonlocal elasticity theory in the vibration of carbon nanotubes using beam models: a review. (English) Zbl 1375.74012 Arch. Comput. Methods Eng. 24, No. 3, 481-494 (2017). MSC: 74B20 74H45 82D80 74K10 PDFBibTeX XMLCite \textit{L. Behera} and \textit{S. Chakraverty}, Arch. Comput. Methods Eng. 24, No. 3, 481--494 (2017; Zbl 1375.74012) Full Text: DOI
Civalek, Ömer; Demir, Cigdem A simple mathematical model of microtubules surrounded by an elastic matrix by nonlocal finite element method. (English) Zbl 1410.74033 Appl. Math. Comput. 289, 335-352 (2016). MSC: 74K10 74S05 PDFBibTeX XMLCite \textit{Ö. Civalek} and \textit{C. Demir}, Appl. Math. Comput. 289, 335--352 (2016; Zbl 1410.74033) Full Text: DOI
Bakhtiari-Nejad, F.; Nazemizadeh, M. Size-dependent dynamic modeling and vibration analysis of MEMS/NEMS-based nanomechanical beam based on the nonlocal elasticity theory. (English) Zbl 1341.74073 Acta Mech. 227, No. 5, 1363-1379 (2016). MSC: 74H45 74K10 74F15 74M25 PDFBibTeX XMLCite \textit{F. Bakhtiari-Nejad} and \textit{M. Nazemizadeh}, Acta Mech. 227, No. 5, 1363--1379 (2016; Zbl 1341.74073) Full Text: DOI
Zhang, Yang; Zhang, L. W.; Liew, K. M.; Yu, J. L. Transient analysis of single-layered graphene sheet using the KP-Ritz method and nonlocal elasticity theory. (English) Zbl 1338.74106 Appl. Math. Comput. 258, 489-501 (2015). MSC: 74S05 82D25 82C80 65N30 74K20 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Appl. Math. Comput. 258, 489--501 (2015; Zbl 1338.74106) Full Text: DOI
Yakaiah, Bolledla; Rao, Apparasu Srihari Higher order nonlocal strain gradient approach for wave characteristics of carbon nanorod. (English) Zbl 1451.74189 Nonlinear Anal., Model. Control 19, No. 4, 660-668 (2014). MSC: 74M25 74K10 74J99 PDFBibTeX XMLCite \textit{B. Yakaiah} and \textit{A. S. Rao}, Nonlinear Anal., Model. Control 19, No. 4, 660--668 (2014; Zbl 1451.74189) Full Text: DOI
Eltaher, M. A.; Khairy, A.; Sadoun, A. M.; Omar, Fatema-Alzahraa Static and buckling analysis of functionally graded Timoshenko nanobeams. (English) Zbl 1364.74014 Appl. Math. Comput. 229, 283-295 (2014). MSC: 74A60 74K10 74G60 74S05 PDFBibTeX XMLCite \textit{M. A. Eltaher} et al., Appl. Math. Comput. 229, 283--295 (2014; Zbl 1364.74014) Full Text: DOI
Eltaher, M. A.; Abdelrahman, A. A.; Al-Nabawy, A.; Khater, M.; Mansour, A. Vibration of nonlinear graduation of nano-Timoshenko beam considering the neutral axis position. (English) Zbl 1334.74040 Appl. Math. Comput. 235, 512-529 (2014). MSC: 74H45 74K10 PDFBibTeX XMLCite \textit{M. A. Eltaher} et al., Appl. Math. Comput. 235, 512--529 (2014; Zbl 1334.74040) Full Text: DOI
Akgöz, Bekir; Civalek, Ömer A size-dependent shear deformation beam model based on the strain gradient elasticity theory. (English) Zbl 1423.74452 Int. J. Eng. Sci. 70, 1-14 (2013). MSC: 74K10 74H45 74M25 PDFBibTeX XMLCite \textit{B. Akgöz} and \textit{Ö. Civalek}, Int. J. Eng. Sci. 70, 1--14 (2013; Zbl 1423.74452) Full Text: DOI
Daneshmand, F.; Rafiei, M.; Mohebpour, S. R.; Heshmati, M. Stress and strain-inertia gradient elasticity in free vibration analysis of single walled carbon nanotubes with first order shear deformation shell theory. (English) Zbl 1438.74072 Appl. Math. Modelling 37, No. 16-17, 7983-8003 (2013). MSC: 74H45 74F10 74K10 PDFBibTeX XMLCite \textit{F. Daneshmand} et al., Appl. Math. Modelling 37, No. 16--17, 7983--8003 (2013; Zbl 1438.74072) Full Text: DOI
Gürses, Murat; Akgöz, Bekir; Civalek, Ömer Mathematical modeling of vibration problem of nano-sized annular sector plates using the nonlocal continuum theory via eight-node discrete singular convolution transformation. (English) Zbl 1309.74034 Appl. Math. Comput. 219, No. 6, 3226-3240 (2012). MSC: 74H45 74K20 PDFBibTeX XMLCite \textit{M. Gürses} et al., Appl. Math. Comput. 219, No. 6, 3226--3240 (2012; Zbl 1309.74034) Full Text: DOI
Qian, Y. H.; Ren, D. X.; Lai, S. K.; Chen, S. M. Analytical approximations to nonlinear vibration of an electrostatically actuated microbeam. (English) Zbl 1242.74216 Commun. Nonlinear Sci. Numer. Simul. 17, No. 4, 1947-1955 (2012). MSC: 74S30 74K10 74F15 74H45 PDFBibTeX XMLCite \textit{Y. H. Qian} et al., Commun. Nonlinear Sci. Numer. Simul. 17, No. 4, 1947--1955 (2012; Zbl 1242.74216) Full Text: DOI