关于薄板弯曲问题的摄动方法
Perturbation Method for Thin Plate Bending Problems
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摘要: 本文利用多重尺度法研究了薄板在中面力的作用下的弯曲问题.Abstract: In this paper, problems of bending of a thin plate under the action of in-plane forces are studied by using the method of multiple scales.
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[1] Alzheimer,W.E.and Davis,R.T.,Unsymmetrical bending of prestressed annularplates,J.Eng.Mech.Div.Proc.ASCE,4,(1968),905-917. [2] Nayfeh,A.H.,Perturbation Methods,John Wiley&Sons,New York,London,Sydney,Toronto,(1973). [3] Jiang Fu-ru,Some applications of perturbation method in thin plate bending problems,Appl.Math,and Mech.,1,1,(1980),37-53. [4] 江福汝,摄动方法在薄板弯曲问题中的某些应用,应用数学和力学,(1980).37-53. [5] Besjes,J.G.,Singular perturbation problems for linear elliptic differential operators of arbitrary order,J.Math,and Appl.,49,(1975),24-46.
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