Transactions of Nanjing University of Aeronautics & Astronautics
Bending and Buckling of Circular Sinusoidal Shear Deformation Microplates with Modified Couple Stress Theory
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Abstract:
The modified couple stress theory （MCST） is applied to analyze axisymmetric bending and buckling behaviors of circular microplates with sinusoidal shear deformation theory. The differential governing equations and boundary conditions are derived through the principle of minimum total potential energy， and expressed in nominal form with the introduced nominal variables. With the application of generalized differential quadrature method （GDQM）， both the differential governing equations and boundary conditions are expressed in discrete form， and a set of linear equations are obtained. The bending deflection can be obtained through solving the linear equations， while buckling loads can be determined through solving general eigenvalue problems. The influence of material length scale parameter and plate geometrical dimensions on the bending deflection and buckling loads of circular microplates is investigated numerically for different boundary conditions.
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This work was supported in part by the National Natural Science Foundation of China（No. 12172169） and the Priority Academic Program Development of Jiangsu Higher Education Institutions.
Clc Number:
TN925
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