STRONG NONLINEAR PRIMARY RESONANCE OF ROTATING FUNCTIONALLY GRADED CIRCULAR PLATES UNDER HARMONIC FORCE

被引：0
|
作者：
Wang Y.-G. [1 ,2 ,3 ]
Hu Y.-D. [1 ,2 ]
Xu H.-R. [1 ,2 ]
机构：
[1] School of Civil Engineering and Mechanics, Yanshan University, Hebei, Qinhuangdao
[2] Hebei Key Laboratory of Mechanical Reliability for Heavy Equipment and Large Structures, Yanshan University, Hebei, Qinhuangdao
[3] Jinxi Industries Group Co., Ltd., Shanxi, Taiyuan
来源：
Gongcheng Lixue/Engineering Mechanics | 2022年 / 39卷 / 11期
关键词：
analytical solution; FGM circular plate; primary resonance; rotational motion; strong nonlinearity;
D O I：
10.6052/j.issn.1000-4750.2021.07.0498
中图分类号：
学科分类号：
摘要：
As a new type of material, functionally graded material (FGM) has attract wide attention and application in recent years due to its good mechanical properties. For the metal-ceramic FGM circular plate with clamped boundary condition, the mode function in polynomial form and the Galerkin method are adopted to derive the longitudinal and transverse coupling nonlinear vibration equations of the system under rotational motion and thermal effects, and the static deflection caused by rotation and density difference is also obtained. The improved multi-scale method is used to solve the equations, and then the frequency-amplitude response equation and analytical solution of the strong nonlinear system are obtained. Based on calculation examples, the amplitude-frequency curves, amplitude-excitation force curves, and amplitude-temperature curves of the FGM plate are presented, and the influence of different physical parameters on the resonance amplitude of the structure is analyzed. Reasonable consistence is evident by comparing the analytical and numerical solutions. © 2022 Tsinghua University. All rights reserved.
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页码：31 / 41
页数：10
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