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AN ANALYTICAL METHOD FOR A MIXED BOUNDARY VALUE PROBLEM OF CIRCULAR PLATES UNDER ARBITRARY LATERAL LOADS 被引量:1

AN ANALYTICAL METHOD FOR A MIXED BOUNDARY VALUE PROBLEM OF CIRCULAR PLATES UNDER ARBITRARY LATERAL LOADS
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摘要 In this paper by using the concept of mixed boundary funetions, an analytical method is proposed for a mixed boundary value problem of circular plates. The trial functions are constructed by using the series of particular solutions of the biharmonic equations in the polar coordinate system. Three examples are presented to show the stability and high convergence rate of the method. In this paper by using the concept of mixed boundary funetions, an analytical method is proposed for a mixed boundary value problem of circular plates. The trial functions are constructed by using the series of particular solutions of the biharmonic equations in the polar coordinate system. Three examples are presented to show the stability and high convergence rate of the method.
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1991年第9期841-848,共8页 应用数学和力学(英文版)
基金 Partially Supported by the National Natural Science Foundation of China
关键词 circular plate mixed boundary value problem mixed boundary functions analytical method circular plate, mixed boundary value problem, mixed boundary functions, analytical method
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  • 1Kita E,Kamiya N.Error estimation and adaptive mesh re- finement in boundary element method[].Eng Anal Bound Elem.2001
  • 2Szabo B A,Bertoti E F.Application of Trefftz fields in post-solution procedures[].Proc of WCCM VI in Con- junction with APCOM’.2004
  • 3Babuska I,Zienkiewica O C,Gago J,Oliveira E R.Accuracy Estimates and Adaptive Refinements in Finite Element Computations[]..1986
  • 4Li Zi-Cai,Lu Tzon-Tzer,Huang Hung-Tsai, et al.Trefftz, collocation, and other boundary methods-A comparison[].Numerical Methods for Partial Differential Equations.2006
  • 5Kita E,Kamiya N.Trefftz method: An overview[].Adv Eng Softw.1995
  • 6Hutchinson J R.Analysis of plates and shells by boundary collocations[].Boundary Element Analysis of Plates and Shells.1991

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