A THEORETICAL SOLUTION OF CYLINDRICAL SHELLS FOR AXISYMMETRIC PLAIN STRAIN ELAST

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A THEORETICAL SOLUTION OF CYLINDRICAL SHELLS FOR AXISYMMETRIC PLAIN STRAIN ELASTODYNAMIC PROBLEMS

A method is developed for the transient responses of axisymmetric plain strain problems of cylindrical shells subjected to dynamic loads. Firstly, a special function was introduced to transform the inhomogeneous boundary conditions into the homogeneous ones. Secondly, using the method of separation of variables, the quantity that the displacement subtracts the special function was expanded as the multiplication series of Bassel functions and time functions . Then by virtue of the orthogonal properties of Bessel functions, the equation with respect to the time variable was derived, of which the solution is easily obtained. The displacement solution was finally obtained by adding the two parts mentioned above. The present method can avoid the integral transform and is fit for arbitrary loads. Numerical results are presented for internally shocked isotropic and cylindrically isotropic cylindrical shells and externally shocked cylinders,as well as for an externally shocked, cylindrically isotropic cylindrical shell that is fixed at the internal surface.水利论文;WMF6Qu

作 者: 丁皓江 王惠明 陈伟球  
作者单位:丁皓江,陈伟球(Department of Civil Engineering, Zhejiang University, Hangzhou,310027, P R China)水利论文6t X|:PoAO5Fje~[
王惠明(Department of Mechanics, Zhejiang University, Hangzhou,310027, P R China) 
刊 名:应用数学和力学(英文版)  EI SCI
英文刊名:APPLIED MATHEMATICS AND MECHANICS(ENGLISH EDITION) 
年,卷(期):2002 23(2) 
分类号:O343.8 
关键词:axisymmetric plain strain problem   special function   integral transform   cylin-drically isotropic  
机标关键词:CYLINDRICAL SHELLScylindrically isotropiccylindrical shellsspecial functionseparation of variablesboundary conditionsintegral transforminternal surfaceBessel functionsmethod of 
基金项目:国家自然科学基金 
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