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 Krmn'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.
出处
《应用数学和力学》
EI
CSCD
北大核心
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)
