THE PROBLEMS OF THE NONLINEAR UNSYMMETRICAL BENDING FOR CYLINDRICALLY ORTHOTROPIC CIRCULAR PLATE (I)

Applied Mathematics and Mechanics (English Edition) ›› 1994, Vol. 15 ›› Issue (8): 779-796.

• 论文 • 上一篇

THE PROBLEMS OF THE NONLINEAR UNSYMMETRICAL BENDING FOR CYLINDRICALLY ORTHOTROPIC CIRCULAR PLATE (I)

秦圣立, 黄家寅

Qufu Normal University, Qufu, Shandong

收稿日期:1994-02-01 出版日期:1994-08-18 发布日期:1994-08-18

THE PROBLEMS OF THE NONLINEAR UNSYMMETRICAL BENDING FOR CYLINDRICALLY ORTHOTROPIC CIRCULAR PLATE (I)

Qin Sheng-li, Huang Jia-yin

Qufu Normal University, Qufu, Shandong

Received:1994-02-01 Online:1994-08-18 Published:1994-08-18

摘要/Abstract

摘要： In this paper, the problems of nonlinear unsymmetrical bending for cylindrically orthotropic circular plate are studied by using "the method of two-variable "^[1], and the uniformly valid asymptotic solutions of Nth-order for ε₁, and Mth-order for ε₂ are obtained.

关键词: Hopfield neural network, periodic solution, global exponential stability, coincidence degree, Liapunov’s function, orthotropic circular plate, unsymmetrical bending, the method of two-variable

Abstract: In this paper, the problems of nonlinear unsymmetrical bending for cylindrically orthotropic circular plate are studied by using "the method of two-variable "^[1], and the uniformly valid asymptotic solutions of Nth-order for ε₁, and Mth-order for ε₂ are obtained.

Key words: Hopfield neural network, periodic solution, global exponential stability, coincidence degree, Liapunov’s function, orthotropic circular plate, unsymmetrical bending, the method of two-variable

秦圣立;黄家寅. THE PROBLEMS OF THE NONLINEAR UNSYMMETRICAL BENDING FOR CYLINDRICALLY ORTHOTROPIC CIRCULAR PLATE (I)[J]. Applied Mathematics and Mechanics (English Edition), 1994, 15(8): 779-796.

Qin Sheng-li;Huang Jia-yin. THE PROBLEMS OF THE NONLINEAR UNSYMMETRICAL BENDING FOR CYLINDRICALLY ORTHOTROPIC CIRCULAR PLATE (I)[J]. Applied Mathematics and Mechanics (English Edition), 1994, 15(8): 779-796.

[1]	Yan ZHOU, Wei ZHANG. Double Hopf bifurcation of composite laminated piezoelectric plate subjected to external and internal excitations[J]. Applied Mathematics and Mechanics (English Edition), 2017, 38(5): 689-706.
[2]	郭勇;谢建华. Neimark-Sacker (N-S) bifurcation of oscillator with dry friction in 1:4 strong resonance[J]. Applied Mathematics and Mechanics (English Edition), 2013, 34(1): 27-36.
[3]	V. FILIPOVIC. Global exponential stability of switched systems[J]. Applied Mathematics and Mechanics (English Edition), 2011, 32(9): 1197-1206.
[4]	徐昌进唐先华廖茂新. Local Hopf bifurcation and global existence of periodic solutions in TCP system[J]. Applied Mathematics and Mechanics (English Edition), 2010, 31(6): 775-786.
[5]	黄家寅. UNIFORMLY VALID ASYMPTOTIC SOLUTIONS OF THE NONLINEAR UNSYMMETRICAL BENDING FOR ORTHOTROPIC RECTANGULAR THIN PLATE OF FOUR CLAMPED EDGES WITH VARIABLE THICKNESS[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(7): 817-826.
[6]	黄家寅. BASIC EQUATIONS OF THE PROBLEM OF THE NONLINEAR UNSYMMETRICAL BENDING FOR ORTHOTROPIC RECTANGULAR THIN PLATE WITH VARIABLE THICKNESS[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(7): 812-816.
[7]	李国成;薛小平;宋士吉. ON THE PERIODIC SOLUTIONS OF DIFFERENTIAL INCLUSIONS AND APPLICATIONS[J]. Applied Mathematics and Mechanics (English Edition), 2004, 25(2): 168-177.
[8]	高云峰;宝音贺西;李俊峰. COMPARISON OF TWO METHODS IN SATELLITE FORMATION FLYING[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(8): 902-908.
[9]	房少梅;郭柏灵. EXISTENCE OF TIME PERIODIC SOLUTIONS FOR A DAMPED GENERALIZED COUPLED NONLINEAR WAVE EQUATIONS[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(6): 673-683.
[10]	郑永爱;刘曾荣. PERIODIC SOLUTIONS IN ONE-DIMENSIONAL COUPLED MAP LATTICES[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(5): 521-526.
[11]	吕金虎;张子范;张锁春. BIFURCATION ANALYSIS OF A MITOTIC MODEL OF FROG EGGS[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(3): 284-297.
[12]	曹显兵. ON THE EXISTENCE OF PERIODIC SOLUTIONS FOR NONLINEAR SYSTEM WITH MULTIPLE DELAYS[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(1): 117-122.
[13]	黄正洪. ON CAUCHY PROBLEMS FOR THE RLW EQUATION IN TWO SPACE DIMENSIONS[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(2): 169-177.
[14]	鲁世平;葛渭高. PROBLEM OF PERIODIC SOLUTIONS FOR NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATION[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(12): 1421-1428.
[15]	向兰;周进;刘曾荣;孙姝. ON THE ASYMPTOTIC BEHAVIOR OF HOPFIELD NEURAL NETWORK WITH PERIODIC INPUTS[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(12): 1367-1373.

THE PROBLEMS OF THE NONLINEAR UNSYMMETRICAL BENDING FOR CYLINDRICALLY ORTHOTROPIC CIRCULAR PLATE (I)

THE PROBLEMS OF THE NONLINEAR UNSYMMETRICAL BENDING FOR CYLINDRICALLY ORTHOTROPIC CIRCULAR PLATE (I)

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 15

编辑推荐

Metrics

本文评价