[1] Way,S.,Bending of circular plate with large deflection,ASME Transactions Applied Mechanics,56(1934),627-636.
[2] Liu Ren-huai and Shi Yun-fang,Exact solution for circular sandwich plate with large deflection,Appl.Math.and Mech.,3,1(1982),11-24.
[3] Yeh Kai-yuan,Zheng Xiao-jing and Zhou You-he,An analytical formula of exact solution to Kármán‘s equations of circular plate under a concentrated load,Proc.ICNM Shanghai,Science Press,Beijing(1985),386-391.
[4] Zheng Xiao-jing and Zhou You-he,Exact solution for large deflection of circular plate under compound load,Scienti Sinica,A,10(1986).(in Chinese)
[5] Chien Wei-zang,Large deflection of a circular clamped plate under uniform pressure,J.Phys.,7,2(1947),102-113.
[6] Hu Hai-chang,On the large deflection of a circular plate under combined action of uniformly distributed load and concentrated load at the center,Acta Phys.Sinica.10(1954),383-394.
[7] Vincent,J.J.,The bending of a thin circular plate.Phil.Mag.,12(1931),185-196.
[8] Huang Qian,Large deflection of circular plate under compound load.App.Math and Mech.4,5(1983),791-804.
[9] Keller,H.B.and E.L.Reiss,Iterative solutions for the nonlinear bending of circular plates,Comm.on Pure and Appl.Math.,11(1958),273-292.
[10] Yeh Kai-yuan,Liu Ren-huai,et al.,Nonlinear stability of thin circular shallow spherical shell under the actions of axisymmetric uniform distributed line loads,J.Lanzhou University,18,2(1965).10-33. (in Chinese)
[11] Dadeppo,D.A.and R.Schmidt,Moderately large denections of a loosely clamped circular plate under a uniformly distributed load,Indus.Math.,25,1(1975).17-28.
[12] Chen Shan-lin and Guang Ji-chang,The perturbation parameter in the problem of large deflection of clamped circular plates.,Appl.Math.and Mech.,2. 1(1981).137-154.
[13] Yeh Kai-yuan and Zhou You-he,On solving high-order solution of Chien's perturbation method to study convergence by computer,Appl.Math,and Mech.,7,4(1986),305-314.
[14] Yeh Kai-yuan and Gu Shu-xian,Nonlinear stability of a spherical shallow shell under uniformly distributed pressure,Proc.Nat.Computation Mech.Congress,Beijing University Press(1980).280-287. (in Chinese) |