首页|Size-dependent nonlinear dynamics of two-directional functionally graded microbeams in thermal environment under a moving mass

Size-dependent nonlinear dynamics of two-directional functionally graded microbeams in thermal environment under a moving mass

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  • NETL
  • NSTL
  • Elsevier
© 2024 Elsevier LtdThe size-dependent nonlinear dynamics of two-directional functionally graded (2D-FG) microbeams in a thermal environment under a moving mass is studied for the first time in the framework of the refined higher-order shear deformation theory (HSDT) and modified couple stress theory (MCST). The variation of the temperature-dependent material properties in the axial and thickness directions is estimated by the Mori–Tanaka homogenization scheme. Considering the rotary inertia and shear deformation, the nonlinear differential equations of motion, obtained from Hamilton's principle, are discretized using an enriched beam element. Numerical results determined by the Newmark method in combination with Newton–Raphson iterative procedure confirm the efficiency of the derived beam formulation in predicting the nonlinear dynamics. The enriched beam element, which is derived herein by using hierarchical functions to enrich the conventional shape functions, is capable of furnishing accurate nonlinear dynamic characteristics with fewer elements compared to the conventional one. It is shown that the difference between the dynamic response predicted by the linear analysis and the nonlinear one increases by increasing the temperature, but it decreases by increasing the size scale parameter. The effects of the material gradation, temperature rise and micro-scale parameter on the nonlinear dynamic behavior of the 2D-FG microbeams are studied in detail and highlighted.

2D-FG microbeamMoving massNonlinear dynamicsRefined HSDTSize-dependent response

Vu A.N.T.、Nguyen D.K.

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Faculty of Basic Sciences University of Transport and Communications

Institute of Mechanics VASTInstitute of Mechanics VAST||VNU University of Engineering and Technology||

2025

10.1016/j.ijnonlinmec.2024.104967

International journal of non-linear mechanics

International journal of non-linear mechanics

SCI
ISSN：0020-7462
年,卷(期)：2025.170(Mar.)
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