Analysis of the free vibration of thin rectangular plates with cut-outs using the discrete singular convolution method

被引：14
|
作者：
Li, Yongqiang [1 ,2 ]
Zhou, Mao [1 ]
Li, Meng [3 ]
机构：
[1] Northeastern Univ, Coll Sci, Shenyang 110819, Peoples R China
[2] Northeastern Univ, Key Lab, Minist Educ Safe Min Deep Met Mines, Shenyang 110819, Liaoning, Peoples R China
[3] Southwestern Univ Finance & Econ, Res Inst Econ & Management, Chengdu 611130, Sichuan, Peoples R China
来源：
THIN-WALLED STRUCTURES | 2020年 / 147卷 / 147期
基金：
中国国家自然科学基金;
关键词：
Discrete singular convolution; Cut-out; U-shaped; Thin plates; LAMINATED COMPOSITE PLATES; NONLINEAR ELASTIC FOUNDATIONS; HIGH-FREQUENCY VIBRATION; BOUNDARY-CONDITIONS; CYLINDRICAL-SHELLS; INTERNAL SUPPORTS; FREE EDGES; BEAMS; PREDICTION;
D O I：
10.1016/j.tws.2019.106529
中图分类号：
TU [建筑科学];
学科分类号：
0813 ;
摘要：
In this paper, free vibration of thin rectangular plates with cut-outs for different boundary conditions is analyzed by using the discrete singular convolution (DSC) method. First, the entire plate configuration is divided into appropriate sub-domains. The edges involved with cut-outs in each sub-domain are treated as free boundary conditions and the Taylor series expansion method is adopted for solving. Then, the convergence of the DSC method is tested and the frequency parameters were validated by comparing with the exact solutions by Leissa. At last, the influence of rectangular and U-shaped cut-outs structure parameters on the natural frequency is studied.
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页数：12
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