A NOVEL SOLUTION OF TOROIDAL SHELLS UNDER AXISYMMETRIC LOADING  

作　　者：张若京 

出　　处：《Applied Mathematics and Mechanics(English Edition)》1999年第5期57-64,共8页应用数学和力学（英文版）

摘　　要：Several improvements are made for existing asymptotic expansions for the axisymmetric toroidal shells. The new expansions are numerically satisfactory and satisfy the accuracy of the theory of thin shells. All of them are expressed in terms of generalized Airy functions , instead of Bessel or Airy function for the homogeneous and Lommel function for the particular solutions, respectively, as in the existing work. In this paper, three particular solutions are given, one of which is just the solution obtaine d by Tumarkin(1959) and Clark(1963).Several improvements are made for existing asymptotic expansions for the axisymmetric toroidal shells. The new expansions are numerically satisfactory and satisfy the accuracy of the theory of thin shells. All of them are expressed in terms of generalized Airy functions , instead of Bessel or Airy function for the homogeneous and Lommel function for the particular solutions, respectively, as in the existing work. In this paper, three particular solutions are given, one of which is just the solution obtaine d by Tumarkin(1959) and Clark(1963).

关 键 词：toroidal shell ASYMPTOTIC generalize d Airy function 

分 类 号：TU33[建筑科学—结构工程]