环肋加强非圆柱壳的齐次扩容精细积分法  

A novel method for analyzing circumferentially stiffened non-circular cylindrical shells subjected to external pressure

作　　者：邹时智[1] 王威[2] 何锃[1] 肖承初[1] 

机构地区：[1]华中科技大学土木工程与力学学院,湖北武汉430074 [2]武汉船舶设计研究所,湖北武汉430064

出　　处：《华中科技大学学报（自然科学版）》2007年第10期125-128,共4页Journal of Huazhong University of Science and Technology(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10172038)

摘　　要：基于齐次扩容精细积分法和傅里叶级数展开,利用周向状态向量分段传递的思想,对两端简支的环肋加强非圆柱壳承受外压作用,提出了一种新的半解析求解方法.借助Dirac-δ函数考虑了非圆柱壳和环肋之间的多种相互作用力,利用界面处相应的位移协调关系,导出了一系列相关的解式.以单环肋圆柱壳为例,将本方法算得的结果和已知解析解作了比较;还计算了端隔板封闭下椭圆柱壳在水压作用下的应力和变形,并和有限元结果进行了比较,证明了本文方法的正确性和优越性.算例揭示了椭圆度会导致壳体中的应力分布不均匀.Based on the extended homogeneous capacity precision integration method and the Fourier＇s series expansion,a novel method is presented for analyzing a non-circular cylindrical shell stiffened by lateral ribs under external pressure by transferring state vectors of this shell in the circumferential direction.The normal and tangential interacted forces between the lateral ribs and the cylindrical shell are considered at the same time by means of the Dirac-δ function and some important formulas are also derived using the compatible conditions of the displacements in the shell-rib interface.The numerical results of several examples are in good agreement with the analytical solution and FEM results.It shows that the proposed method is very efficient for solving the problems under consideration.

关 键 词：环肋加强非圆柱壳 齐次扩容精细积分法 半解析法 椭圆柱壳 

分 类 号：TU333[建筑科学—结构工程]