Further Study on Large Deflection of Circular Sandwich Plates

Liu Rea-huai; Zhu Gao-qiu

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 1989 > 10(12): 1041-1047

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.

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.

PDF( 463 KB)

Further Study on Large Deflection of Circular Sandwich Plates

Liu Rea-huai¹,
Zhu Gao-qiu²

1.
Shanghai University of Technology, Shanghai Institute of Applied Mathematics and Mechanics, Shanghai;
2.
Department of Modern Mechanics, University of Science and Technology of China, Hefei

Received Date: 1988-09-21
Publish Date: 1989-12-15

Abstract

Abstract

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.

FullText(HTML)

References(17)

References

[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).