Exact Solution of Large Deformation Basic Equations of Circular Membrane Under Central Force

HAO Ji-ping; YAN Xin-li

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 2006 > 27(10): 1169-1172

HAO Ji-ping, YAN Xin-li. Exact Solution of Large Deformation Basic Equations of Circular Membrane Under Central Force[J]. Applied Mathematics and Mechanics, 2006, 27(10): 1169-1172.

Citation:

HAO Ji-ping, YAN Xin-li. Exact Solution of Large Deformation Basic Equations of Circular Membrane Under Central Force[J]. Applied Mathematics and Mechanics, 2006, 27(10): 1169-1172.

Citation:

HAO Ji-ping, YAN Xin-li. Exact Solution of Large Deformation Basic Equations of Circular Membrane Under Central Force[J]. Applied Mathematics and Mechanics, 2006, 27(10): 1169-1172.

PDF( 1393 KB)

Exact Solution of Large Deformation Basic Equations of Circular Membrane Under Central Force

HAO Ji-ping¹,
YAN Xin-li²

1.
School of Civil Engineering, Xi'an University of Architecture and Technology, Xi'an 710055, P. R. China;

Received Date: 2005-07-12
Rev Recd Date: 2006-02-20
Publish Date: 2006-10-15

Abstract

Abstract

Exact solution of the nonlinear boundary value problem for the basic equation and boundary condition of circular membrane under central force were obtained by using new simple methods. The existence and uniqueness of the solution were discussed by making use of modern immovable point theorems. Although specific problem is treated, the basic principles of the methods can be applied to a considerable variety of nonlinear problems.
- circular membrane,
- central force,
- large deformation,
- exact solution,
- fixed point

FullText(HTML)

References(7)

References

[1]	Hencky H. Uber den spannungszustand in kreisunden platten mit verschwindender Biegungsstei~figkeit[J].Zeit F Math U Phyzik,1915,(63):311—317.
[2]	钱伟长，王志忠，徐尹格，等. 圆薄膜中心部分受均布载荷产生的对称变形[J].应用数学和力学，1981，2（6）：599—612.
[3]	Sherbourne A N,Lennox W C.Elastic large deflections of annular membranes [J].J Engng Mech Divis, Proc Asce,1996,92(Em2):75—99.
[4]	Kao R, Perrone N. Large deflections of axisymmetric cicular membranes[J].Internat J Solids Structures,1971,12(7):1601—1612.
[5]	陈山林，郑周练.圆薄膜在集中力作用下的大变形[J].应用数学和力学，2003,24（1），25—28.
[6]	颜心力.非线性方程的精确解[M].北京：经济科学出版社，2004：12—13，100—102.
[7]	颜心力.对称压缩算子的方程解的存在唯一性定理及应用[J].科学通报，1990，35（10）：733—736.