摘要
用三维弹性理论求解复合材料叠层圆柱曲板问题．在圆柱坐标系中，将三维弹性理论表述成哈密顿形式体系，得到一个变分原理，然后用有限元法，给出一种半解析解，克服了过去完全的解析解及基于二维近似理论的数值解的不足．数值算例表明本文的方法是有效的．
This paper,through the use of three--dimensional(3-D) elasticity theory,solves the problem of a laminated composite cylindrical panel.In the cylindrical coordinate system,the 3-D elasticity theory is expressed as a Hamiltonian formalism,and a variational principle is obtained.Then using the finite element method,a semi-analytical solution is developed,which overcomes the shortcomings of the numerical solution based on the 2-D aproximate theory and the complete analytical solution.The numerical examples demonstrate that the present method is efficient.
出处
《振动工程学报》
EI
CSCD
1995年第2期91-98,共8页
Journal of Vibration Engineering
关键词
弹性理论
半解析集
叠层圆柱曲板
复合材料
elastic theory
Hamilton's principle
semi-analytic sets
laminated cylindrical panel
