YUAN Hong, LIU Ren-huai. Nonlinear Bending of Corrugated Diaphragm With Large Boundary Corrugation Under Compound Load[J]. Applied Mathematics and Mechanics, 2003, 24(4): 367-372.
 Citation: YUAN Hong, LIU Ren-huai. Nonlinear Bending of Corrugated Diaphragm With Large Boundary Corrugation Under Compound Load[J]. Applied Mathematics and Mechanics, 2003, 24(4): 367-372.

# Nonlinear Bending of Corrugated Diaphragm With Large Boundary Corrugation Under Compound Load

• Received Date: 2001-10-19
• Rev Recd Date: 2003-01-10
• Publish Date: 2003-04-15
• By using the simplified Reissner's equation of axisymmetric shells of revolution, the nonlinear bending of a corrugated annular plate with a large boundary corrugation and a non-deformable rigid body at the center under compound load are investigated. The nonlinear boundary value problem of the comigated diaphragm reduces to the nonlinear integral equations by applying the method of Green's function. To solve the integral equations, a so-called interpolated parameter important to prevent divergence is introduced into the iterative format. Computation shows that when loads are small, any, value of interpolated parameter can assure the convergence of iteration. Interpolated parameter equal or almost equal to 1 yields a faster convergence rate; when loads are large,interpolated parameter cannot be taken too large in order to assure convergence. The characteristic curves of the comugated diaphragm for different load combinations are given. The obtained characteristic curves are available for reference to design. It can be concluded that the deflection is larger when the diaphragm is acted by both uniform load and concentrated load than when it is acted only by uniform load. The solution method can be applied to corrugated shells of arbitrary diametral sections.
•  [1] 刘人怀.在复合载荷作用下波纹环形板的非线性弯曲[J].中国科学,A辑,1985,28(6):537-545. [2] 刘人怀.在复合载荷作用下波纹圆板的非线性弯曲[J].应用数学和力学,1988,9(8):661-674. [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[J].应用数学和力学,1980,1(2): 261-272. [4] 宋卫平,叶开沅.中心集中载荷作用下波纹圆板的变形应力和稳定性研究[J].中国科学,A辑,1989,32(1):40-47. [5] 袁鸿.波纹壳的摄动解法[J].应用力学学报,1999,16(1):144-148. [6] АксельрадЭЛ.Большиепрогибыгофрированноймембраныкакнепологойоболочки[J].МеханикаиМашиностроение,ИзвестияАНСССР,1964,(1):46-53. [7] Hamada M, Seguchi Y, Ito S, et al. Numerical method for nonlinear axisymmetric bending of arbitrary shells of revolution and large deflection analyses of corrugated diaphragm and bellows[J]. Bulletin of JSME,1968,11(43): 24-33. [8] Bihari I, Elbert A. Deformation of circular corrugated plates and shells[J]. Periodica Polytech Mech Eng Mas, 1978,22(2): 123-143. [9] LIU Ren-huai, YUAN Hong. Nonlinear bending of corrugated annular plate with large boundary corrugation[J].Appl Mech Eng, 1997,2(3):353-367. [10] Libai A, Simmonds J G.The Nonlinear Theory of Elastic Shells of One Spatial Dimension[M]. Boston: Academic Press, 1988, 206-212. [11] Simmonds J G, Libai A. A simplified version of Reissner's non-linear equations for a first-approximation theory of shells of revolution[J]. Comput Mech,1987,2(2):99-103.

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