Free vibration and buckling analyses of a size-dependent axially functionally graded beam incorporating transverse shear deformation
A new size-dependent axially functionally graded (AFG) beam model with transverse shear deformation is proposed based on the modified couple stress theory (MCST). Besides, present new model incorporates only one material length scale parameter (MLSP) which can effectively capture the scale effects....
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doaj-c8977dab713d4700bc691f8e4b5610fd2020-11-24T21:19:12ZengElsevierResults in Physics2211-37972017-01-01732513263Free vibration and buckling analyses of a size-dependent axially functionally graded beam incorporating transverse shear deformationWanli Yang0Dan He1Key Laboratory of Liaoning Province for Composite Structural Analysis of Aerocraft and Simulation, Shenyang Aerospace University, Shenyang, LN 110136, ChinaCorresponding author.; Key Laboratory of Liaoning Province for Composite Structural Analysis of Aerocraft and Simulation, Shenyang Aerospace University, Shenyang, LN 110136, ChinaA new size-dependent axially functionally graded (AFG) beam model with transverse shear deformation is proposed based on the modified couple stress theory (MCST). Besides, present new model incorporates only one material length scale parameter (MLSP) which can effectively capture the scale effects. Moreover, the first-order and third-order shear deformation theory are considered in this new model respectively, which differ from the existing micro AFG Euler-Bernoulli model. Subsequently, free vibration and buckling behaviors are investigated based on the rule of mixture. Related governing equations are derived and numerically solved by Hamilton’s principle and differential quadrature method (DQM) respectively. Afterwards, some results are compared with published literatures to demonstrate the validity and accuracy of current formulation. Finally, the effects of geometric size, shear deformation and material non-homogeneity on the critical loads and natural frequencies are discussed. Keywords: Scale effects, Free vibration, Buckling, Axially functional graded material, Modified couple stress theoryhttp://www.sciencedirect.com/science/article/pii/S2211379717307660 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Wanli Yang Dan He |
spellingShingle |
Wanli Yang Dan He Free vibration and buckling analyses of a size-dependent axially functionally graded beam incorporating transverse shear deformation Results in Physics |
author_facet |
Wanli Yang Dan He |
author_sort |
Wanli Yang |
title |
Free vibration and buckling analyses of a size-dependent axially functionally graded beam incorporating transverse shear deformation |
title_short |
Free vibration and buckling analyses of a size-dependent axially functionally graded beam incorporating transverse shear deformation |
title_full |
Free vibration and buckling analyses of a size-dependent axially functionally graded beam incorporating transverse shear deformation |
title_fullStr |
Free vibration and buckling analyses of a size-dependent axially functionally graded beam incorporating transverse shear deformation |
title_full_unstemmed |
Free vibration and buckling analyses of a size-dependent axially functionally graded beam incorporating transverse shear deformation |
title_sort |
free vibration and buckling analyses of a size-dependent axially functionally graded beam incorporating transverse shear deformation |
publisher |
Elsevier |
series |
Results in Physics |
issn |
2211-3797 |
publishDate |
2017-01-01 |
description |
A new size-dependent axially functionally graded (AFG) beam model with transverse shear deformation is proposed based on the modified couple stress theory (MCST). Besides, present new model incorporates only one material length scale parameter (MLSP) which can effectively capture the scale effects. Moreover, the first-order and third-order shear deformation theory are considered in this new model respectively, which differ from the existing micro AFG Euler-Bernoulli model. Subsequently, free vibration and buckling behaviors are investigated based on the rule of mixture. Related governing equations are derived and numerically solved by Hamilton’s principle and differential quadrature method (DQM) respectively. Afterwards, some results are compared with published literatures to demonstrate the validity and accuracy of current formulation. Finally, the effects of geometric size, shear deformation and material non-homogeneity on the critical loads and natural frequencies are discussed. Keywords: Scale effects, Free vibration, Buckling, Axially functional graded material, Modified couple stress theory |
url |
http://www.sciencedirect.com/science/article/pii/S2211379717307660 |
work_keys_str_mv |
AT wanliyang freevibrationandbucklinganalysesofasizedependentaxiallyfunctionallygradedbeamincorporatingtransversesheardeformation AT danhe freevibrationandbucklinganalysesofasizedependentaxiallyfunctionallygradedbeamincorporatingtransversesheardeformation |
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1726006501886132224 |