A TIME DOMAIN METHOD FOR QUASI-STATIC ANALYSIS OF VISCOELASTIC THIN PLATES  

作　　者：张能辉[1] 程昌钧[2] 

机构地区：[1]上海市应用数学和力学研究所，上海200072 [2]上海大学力学系

出　　处：《应用数学和力学》2001年第10期1001-1008,共8页Applied Mathematics and Mechanics

基　　金：theNationalNaturalScienceFoundationofChina ( 1 9772 0 2 7) ;theScienceFoundationofShanghaiMunicipalCommissionofEducation ( 99A0 1 ) ;thePostdoctoralScienceFoundationofShanghai ( 1 999)

摘　　要：Based on the Boltzmann’s superposition principles of linear viscoelastic materials and the von K*-rm*-n’s hypotheses of thin plates with large deflections, a mathematical model for quasi-static problems of viscoelastic thin plates was given. By the Galerkin method in spatial domain, the original integro-partial-differential system could be transformed into an integral system. The latter further was reduced to a differential system by using the new method for temporal domain presented in this paper. Numerical results show that compared with the ordinary finite difference method, the new method in this paper is simpler to operate and has some advantages, such as, no storage and quicker computational speed etc.Based on the Boltzmann's superposition principles of linear viscoelastic materials and the von Krmn's hypotheses of thin plates with large deflections, a mathematical model for quasi_static problems of viscoelastic thin plates was given. By the Galerkin method in spatial domain, the original integro_partial_differential system could be transformed into an integral system. The latter further was reduced to a differential system by using the new method for temporal domain presented in this paper. Numerical results show that compared with the ordinary finite difference method, the new method in this paper is simpler to operate and has some advantages, such as, no storage and quicker computational speed etc.

关 键 词：粘弹性薄板 von Kármán假设 GALERKIN方法 准静态响应 直接法 积分微分方程 粘弹性材料 时域算法 

分 类 号：O345[理学—固体力学] O241.83[理学—力学]