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Dynamic analysis of an inclined sandwich beam with bidirectional functionally graded face sheets under a moving mass
European Journal of Mechanics - A/Solids ( IF 4.1 ) Pub Date : 2021-03-24 , DOI: 10.1016/j.euromechsol.2021.104276
Dinh Kien Nguyen , Thi Thom Tran , Vu Nam Pham , Ngoc Anh Thi Le

Dynamic analysis of an inclined sandwich beam under a moving mass is presented on the basis of a third-order shear deformation theory. The core of the sandwich beam is homogeneous while the two face sheets are made from three-phase bidirectional functionally graded material with effective properties varying in both the axial and transverse directions by power gradation laws. A finite element formulation for the inclined beam, in which the stiffness and mass matrices are evaluated explicitly, is derived by using the transverse shear rotation as an independent variable. Taking into account the effects of the inertial, Coriolis and centrifugal forces, a moving mass element is formulated and superimposed on the beam matrices to construct the equation of motion. The numerical result reveals that the material gradation plays an important role on the dynamic response of the beam, and the desired dynamic characteristics can be obtained by approximately choosing the power-law indexes. The effects of the moving mass velocity, the material gradation, the beam inclined angle and the layer thickness ratio on the dynamic behaviour of the beams are studied in detail and highlighted.



中文翻译:

移动质量作用下具有双向功能梯度面板的夹层斜梁的动力分析

基于三阶剪切变形理论,对倾斜夹层梁在运动质量的作用下进行了动力分析。夹层梁的芯是均匀的,而两个面板是由三相双向功能梯度材料制成的,其有效特性根据功率梯度定律在轴向和横向上都会发生变化。通过使用横向剪切旋转作为自变量,导出了斜梁的有限元公式,其中明确评估了刚度和质量矩阵。考虑到惯性的影响,科里奥利在离心力的作用下,公式化了运动质量元素,并将其叠加在梁矩阵上,以构造运动方程。数值结果表明,材料的级配对梁的动力响应起着重要的作用,通过近似选择幂律指标可以获得所需的动力特性。详细研究了移动质量速度,材料梯度,横梁倾斜角和层厚比对横梁动力特性的影响。

更新日期:2021-03-31
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