Liu Rea-huai, Zhu Gao-qiu. Further Study on Large Deflection of Circular Sandwich Plates[J]. Applied Mathematics and Mechanics, 1989, 10(12): 1041-1047.
 Citation: Liu Rea-huai, Zhu Gao-qiu. Further Study on Large Deflection of Circular Sandwich Plates[J]. Applied Mathematics and Mechanics, 1989, 10(12): 1041-1047.

# Further Study on Large Deflection of Circular Sandwich Plates

• Received Date: 1988-09-21
• Publish Date: 1989-12-15
• In this paper, a nonlinear solution is first presented for a circular sandwich plate with the flexure rigidity of the face layers taken into account. In solving the nonlinear bending equations, a modified power series method is proposed. The uniformly distributed loading and the clamped but sliding boundary condition are also assumed. Then our results are compared with those from Liu Ren-huai and Shi-Yun-fang[15]. The present solution can be used ax a more accurate basis in engineering applications.
•  [1] Rcissner,E.,Finite deflection of sandwich plates,J.Aero.Sci.,15,7(1948),435. [2] Hoff,N.J.,Bending and buckling of sandwich plates,NACA TN 2225(1950). [3] Libove,C.and S.B.Batdorf,A general small-deflection theory for flat sandwich plates,NACA TN 1526(1948). [4] Kan,H.and J.Huang,Large deflection of rectangular sandwich plates,AIAA J.,5,9(1967),1706. [5] Bhimaraddi,A.and K.Chandrashekhara,Comparison of elasticity and sandwich theories for a rectangular sandwich plates,Aero.J.,88,876(1984),229. [6] Zaid,M.,Symmetrical bending of circular sandwich plates,Proc.2nd U.S.N.Cong.Appl.Mech.,ASME,New York(1954),413. [7] Bruun,E.R.,Thermal deflection of a circular sandwich plate AIAA J.,1,5(1963),1213. [8] Huang,J.C.and I.K.Ebciogu,Circular sandwich plate under radial compression and thermal gradient,AIAA J.,3,6(1965),1146. [9] Amato,A.J.,Axisymmetric buckling of annular sandwich panels,AIAA J.,10,10(1972),1351. [10] 刘人怀,在边缘力矩作用下夹层圆板的非线性轴对称弯曲问题,中国科学技术大学学报,10, 2(1980), 56. [11] 刘人怀,夹层圆板的非线性弯曲,应用数学和力学,2, 2 (1980), 173. [12] 叶开沉、刘人怀等,在对称线布载荷作用下的圆底扁薄球壳的非线性稳定问题,科学通报,2(1965), 142;兰州大学学报,2(1965), 10. [13] 叶开沉、刘人怀等,圆底扁薄球壳在边缘力矩作用下的非线性稳定问题,科学通报,2 (1966),145. [14] 刘人怀.在内边缘均布力矩作用下中心开孔圆底扁球壳的非线性稳定问题,科学通报,3 (1965),263. [15] 刘人怀、施云方,夹层圆板大挠度问题的精确解,应用数学和力学,3, 1 (1982), 11. [16] Liu Ren-huai,Nonlinear bending of circular sandwich plates under the action of axisymmetric uniformly distributed line loads,Progress in Applied Mechanics,Ed.Yeh Kai-yuan,Martinus Nijhoff Publishers,Dordrecht(1987),293. [17] Nayfeh,A.H.,Perturbation Methods,John Wiley&Sons,New York(1973).

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沈阳化工大学材料科学与工程学院 沈阳 110142

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