Spectral method for dispersion characteristics of cylindrical shell boarded with a damping layer
The wave equation of elastic theory is discretized by spectral method. Then the equation can be converted to a corresponding generalized eigenvalue problem by employing Chebyshev polynomials to be a primary function. After considering the boundary conditions at the fluid-structure interface and damping layer-structure interface, a generalized eigenvalue equation of a complex system can be obtained. The wave numbers for a given frequency are calculated by MATLAB eigenvalue solver. Then modal dispersion in elastic guiding structure can be solved quickly. This paper supplies the dispersion curves of cylindrical shells containing bare, fluid filled and layered. Some valuable conclusion has been given according to the dispersion curves.
1. School of Transportation,Wuhan University of Technology,Wuhan 430063, China；
2. College of Ship Building Engineering, Harbin Engineering University, Harbin 150001, China
The wave equation of elastic theory is discretized by spectral method. Then the equation can be converted to a corresponding generalized eigenvalue problem by employing Chebyshev polynomials to be a primary function. After considering the boundary conditions at the fluid-structure interface and damping layer-structure interface, a generalized eigenvalue equation of a complex system can be obtained. The wave numbers for a given frequency are calculated by MATLAB eigenvalue solver. Then modal dispersion in elastic guiding structure can be solved quickly. This paper supplies the dispersion curves of cylindrical shells containing bare, fluid filled and layered. Some valuable conclusion has been given according to the dispersion curves.
王献忠1, 2 吴卫国1,2 庞福振3,孔祥韶1,2. 基于谱方法分析有阻尼负载圆柱壳频散特性[J]. 振动与冲击, 2015, 34(6): 13-17.
WANG Xian-zhong1，2 WU Wei-guo1，2 PANG Fu-zhe3，KONG Xiang-shao1,2. Spectral method for dispersion characteristics of cylindrical shell boarded with a damping layer. JOURNAL OF VIBRATION AND SHOCK, 2015, 34(6): 13-17.
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