Chien’s Solution and Its Asymptotic Behavior in Large Deflection of Circular Plates

Chen Shan-Tin

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 1982 > 3(4): 513-518

Chen Shan-Tin. Chien’s Solution and Its Asymptotic Behavior in Large Deflection of Circular Plates[J]. Applied Mathematics and Mechanics, 1982, 3(4): 513-518.

Citation:

Chen Shan-Tin. Chien’s Solution and Its Asymptotic Behavior in Large Deflection of Circular Plates[J]. Applied Mathematics and Mechanics, 1982, 3(4): 513-518.

Citation:

Chen Shan-Tin. Chien’s Solution and Its Asymptotic Behavior in Large Deflection of Circular Plates[J]. Applied Mathematics and Mechanics, 1982, 3(4): 513-518.

PDF( 345 KB)

Chien’s Solution and Its Asymptotic Behavior in Large Deflection of Circular Plates

Chen Shan-Tin

Tsinghua University, Beijing

Received Date: 1981-06-30
Publish Date: 1982-08-15

Abstract

Abstract

A general treatment and residual values of Chien's solution for large deflection of circular plates are given. By means of the above results, the asymptotic behavior of Chien's solution is studied. Two examples of uniform load and concentrated load are discussed respectively.

FullText(HTML)

References(9)

References

[1]	Chien Wei-zang,Chinese Journal of Physics,Vol.7,102-113,(1947).(in Chinese).
[2]	徐次达,加权残数法解固体力学问题,力学与实践,2.4(1980),12-20.
[3]	陈山林,浅正弦波纹圆板在均布载荷下的大挠度弹性特征,应用数学和力学,1,2(1980).261-272.
[4]	陈山林,光积昌,圆薄板大挠度问题的摄动参数,应用数学和力学,2.1(1981).131-144.
[5]	Schmidt,R.,Journal of the Engineering Mechanics Division,Proc.ASCE,Vol.94,No.EM6,1603-1606,(1968).
[6]	Schmidt,R.,Industrial Mathematics,Vol.23,Part 1,45-51,(1973).
[7]	Tucker,J.R.,Schmidt,R.and Dadeppo,D.A.,Industrial Mathematics,Vol.25,Part 1,17-28,(1975).
[8]	Nash,W.A.and Cooley,I.D.,Journal of Applied Mechanics,Vol.26,No.2,291-293,(1959).
[9]	Alzheimer,W.E.and Dayis,R.T.,Journal of Applied Mechanics,Vol.35,No.1,190-192.(1968).