Effect of boundary conditions on the non-linear forced vibration response of isotropic plates

International Conference on Mechanical, Materials and Renewable Energy

机械制造;材料科学;能源学

Shariq Beg, M.^1 ; Hussain Khan, Arshad^1 ; Yaqoob Yasin, M.^1

Department of Mechanical Engineering, ZHCET, AMU Aligarh

202002, India^1

关键词: Continuation algorithm;    Forced vibration response;    Frequency-domain methods;    Frequency-response curves;    Non linear governing equations;    Non-linear response;    Standard finite element;    Strain-displacement relation;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/377/1/012089/pdf
DOI  :  10.1088/1757-899X/377/1/012089

学科分类：材料科学（综合）

来源: IOP

【 摘 要 】

The effect of boundary conditions on the linear and nonlinear steady state forced vibration response of rectangular isotropic plates have been investigated. For thin components subjected to dynamic forces the amplitude of vibration is comparable to its thickness which requires inclusion of nonlinear terms in the strain displacement relation. In the present work the non-linear governing equations of motion have been obtained using standard finite element procedure based on displacement field of FSDT. The governing equation of motion is solved using modified shooting method. The unstable portions of frequency response curves are obtained using continuation algorithm [1]. The non-linear responses are compared with linear response and very large difference between the two has been obtained. Unlike frequency domain methods such as Harmonic balance and IHB the present method does not require any assumption on participating modes. The time history, phase plane plots and FFT of the response have also been obtained to explain the physics of the peculiar nature of the nonlinear response.