Natural vibration characteristics of an open plate based on the Gaussian wavelet function and linear expression

GUO Wenjie,CHAI Tianjian,YAN Jianwei,HONG Xian

Journal of Vibration and Shock ›› 2024, Vol. 43 ›› Issue (6) : 29-37.

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PDF(1669 KB)
Journal of Vibration and Shock ›› 2024, Vol. 43 ›› Issue (6) : 29-37.

Natural vibration characteristics of an open plate based on the Gaussian wavelet function and linear expression

  • GUO Wenjie,CHAI Tianjian,YAN Jianwei,HONG Xian
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Abstract

Research the solution method for the natural vibration characteristics of open plates, treating the open area as a plate with zero thickness, and introducing localized Gaussian wavelet functions as displacement shape functions to capture sudden changes in thickness, thereby improving the accuracy of the solution. In this paper, a linear expression method is proposed to decouple the displacement shape function and boundary conditions. The basic idea is to find the Linear independence column vector in the constraint matrix through the Gauss elimination method, and transform the unknown coefficient in the displacement shape function into the linear expression of the linearly independent sequence vector, thus transforming the constrained problem into the unconstrained problem. Analyze the simply supported and fixed open plates on four sides, and discuss the convergence and accuracy of the solution based on the finite element method calculation results. We have studied the influence of different opening sizes and shapes on natural frequency, obtained the relationship curve between opening size and shape and natural frequency, and explained the reasons for the influence. Finally, the natural frequencies of multi opening plates under different boundary constraints are calculated.

Key words

gaussian wavelet function / linear expression method / natural vibration characteristics / energy method / opening plate

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GUO Wenjie,CHAI Tianjian,YAN Jianwei,HONG Xian. Natural vibration characteristics of an open plate based on the Gaussian wavelet function and linear expression[J]. Journal of Vibration and Shock, 2024, 43(6): 29-37

References

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