In this study, the free vibration analysis of first-order shear-deformable orthotropic nanoplates are conducted in the frameworks of the nonlocal strain gradient elasticity theory. The equations of motion and also the associated boundary conditions are derived using the extended Hamilton's principle. The multi-term extended Kantorovich method (MTEKM) in conjunction with the generalized differential quadrature method (GDQM) is employed to solve the equations of motion. For clamped and simply supported boundary conditions the problem is solved. In addition, a modified Mindlin plate model is introduced by excluding the nonlocality in the shear constitutive equations. Numerical results have shown that the two material length scale parameters have opposite effects on the frequency response of the nanoplate. Also, the excluding the nonlocality in the shear constitutive equations is associated with the stiffness-softening phenomenon.
机构:
RMIT Univ, Dept Civil & Infrastruct Engn, Melbourne, Vic, AustraliaTon Duc Thang Univ, Inst Computat Sci, Div Computat Math & Engn, Ho Chi Minh City, Vietnam
Tran, Phuong
Nguyen-Thoi, T.
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Ton Duc Thang Univ, Inst Computat Sci, Div Computat Math & Engn, Ho Chi Minh City, Vietnam
Ton Duc Thang Univ, Fac Civil Engn, Ho Chi Minh City, VietnamTon Duc Thang Univ, Inst Computat Sci, Div Computat Math & Engn, Ho Chi Minh City, Vietnam
机构:
Institute of Engineering Mechanics,Beijing Jiaotong University
School of Civil Engineering, The University of Queensland,St Lucia, QLD , AustraliaInstitute of Engineering Mechanics,Beijing Jiaotong University
LiaoLiang Ke
YueSheng Wang
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Institute of Engineering Mechanics,Beijing Jiaotong UniversityInstitute of Engineering Mechanics,Beijing Jiaotong University
YueSheng Wang
Jie Yang
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School of Aerospace, Mechanical and Manufacturing Engineering,RMITInstitute of Engineering Mechanics,Beijing Jiaotong University