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Analysis of the free vibration of thin rectangular plates with cut-outs using the discrete singular convolution method
Abstract 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.
Analysis of the free vibration of thin rectangular plates with cut-outs using the discrete singular convolution method
Abstract 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.
Analysis of the free vibration of thin rectangular plates with cut-outs using the discrete singular convolution method
Li, Yongqiang (author) / Zhou, Mao (author) / Li, Meng (author)
Thin-Walled Structures ; 147
2019-11-23
Article (Journal)
Electronic Resource
English
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