| EXACT SOLUTION OF LARGE DEFORMATION BASIC EQUATIONS OF CIRCULAR MEMBRANE UNDER CENTRAL FORCE |
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| 作者姓名： | 郝际平 颜心力 |
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| 作者单位： | School of Civil Engineering Xi'an University of Architecture and Technology，Xi'an 710055，P.R. China，School of Science，Xi'an University of Architecture and Technology，Xi'an 710055，P.R.China |
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| 摘 要： | Exact solution of the nonlinear boundary value problem for the basic equation and boundary condition of circular membrane under central force was obtained by using new simple methods. The existence and uniqueness of the solution were discussed by using 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.
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| 关 键 词： | 圆形隔膜 中心力 大形变 精确解 固定点 |
| 收稿时间： | 2005-07-12 |
| 修稿时间： | 2006-02-20 |
Exact solution of large deformation basic equations of circular membrane under central force |
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| Ji-ping Hao Doctor,Xin-li Yan.EXACT SOLUTION OF LARGE DEFORMATION BASIC EQUATIONS OF CIRCULAR MEMBRANE UNDER CENTRAL FORCE[J].Applied Mathematics and Mechanics(English Edition),2006,27(10):1333-1337. |
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| Authors: | Ji-ping Hao Doctor Xin-li Yan |
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| Institution: | 1. School of Civil Engineering,Xi'an University of Architecture and Technology,Xi'an 710055,P.R.China
2. School of Science,Xi'an University of Architecture and Technology,Xi'an 710055,P.R.China |
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| Abstract: | Exact solution of the nonlinear boundary value problem for the basic equation and boundary condition of circular membrane under central force was obtained by using new simple methods. The existence and uniqueness of the solution were discussed by using 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. |
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| Keywords: | circular membrane central force large deformation exact solution fixed point |
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