Abstract

This research deals with the nonlinear forced vibration analysis of cylindrical micro-panels (CMP) under the modified strain gradient shell theory using the higher-order finite element method. The main objective is to study the impacts of length scale and geometrical parameters on the forced vibration behavior of CMP. The mechanical model based on the modified strain gradient theory (SGT), shear deformation shell theory (SDST), and von Kármán nonlinear kinematic relations is developed using Hamilton’s principle and the hermitian finite elements are employed to solve the problem. Variations of the frequency responses are presented to analyze the nonlinear forced vibration of CMP.

摘要

本研究使用高阶有限元方法在修正应变梯度壳理论下对圆柱形微板 (CMP) 进行非线性受迫振动分析。主要目的是研究长度尺度和几何参数对CMP受迫振动行为的影响。利用Hamilton原理建立了基于修正应变梯度理论(SGT)、剪切变形壳理论(SDST)和von Kármán非线性运动学关系的力学模型，并采用厄米特有限元来解决该问题。提出了频率响应的变化来分析 CMP 的非线性强迫振动。