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Free vibration analysis of annular of annular plate with variable thickness
|作者:||孫挺家||關鍵字:||frequency;頻率;annular plate;free vibration;variable thickness;mode shape;circular plate;自由振動;厚度變化;環狀板;模態||出版社:||應用數學系||摘要:||
In this paper, analysis of the natural frequencies and mode shapes for free vibration of annular plates with variable thickness are presented. The governing differential equations for free vibration of annular plates with varying mass density and flexural rigidity are derived. They can be reduced to Bessel's equations or Euler's equation by selecting suitable expressions, such as power functions, for the distributions of flexural rigidity and mass along the radii of the plates. The general solutions of annular plates with variable thickness are obtained. Therefore, frequencies and mode shapes of free vibration of plates with variable thickness are computed and compared for different values of radii ratio and different boundary conditions. Aside from the frequencies and mode shapes for design purposes, these data can be used as test cases for assessing the accuracy of various approximate methods of solution.
|Appears in Collections:||應用數學系所|
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