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Analytical and Experimental Vibration of Sandwich Beams Having Various Boundary Conditions

机译：具有不同边界条件的夹层梁的分析和实验振动

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摘要

Generalized differential quadrature (GDQ) method is used to analyze the vibration of sandwich beams with different boundary conditions. The equations of motion of the sandwich beam are derived using higher-order sandwich panel theory (HSAPT). Seven partial differential equations of motions are obtained through the use of Hamilton’s principle. The GDQ method is utilized to solve the equations of motion. Experiments are conducted to validate the proposed theory. The results from the analytical model are also compared to those from the literature and finite element method (FEM). Parametric studies are conducted to investigate the effects of different parameters on the natural frequency and response of the sandwich beam under various boundary conditions.
机译：采用广义差分正交积分法（GDQ）分析夹层梁在不同边界条件下的振动。使用高阶夹心板理论（HSAPT）推导了夹层梁的运动方程。利用汉密尔顿原理获得了七个运动的偏微分方程。 GDQ方法用于求解运动方程。进行实验以验证所提出的理论。分析模型的结果也与文献和有限元方法（FEM）的结果进行了比较。进行了参数研究，以研究不同参数对夹心梁在各种边界条件下的固有频率和响应的影响。

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