EXISTENCE AND UNIQUENESS OF SOLUTIONS TO THE DYNAMIC EQUATIONS FOR KOITER SHELLS

Applied Mathematics and Mechanics (English Edition) ›› 1999, Vol. 20 ›› Issue (7): 801-806.

EXISTENCE AND UNIQUENESS OF SOLUTIONS TO THE DYNAMIC EQUATIONS FOR KOITER SHELLS

肖黎明

Institute of Mathematics, Fudan University, Shanghai 200433, P. R. China

收稿日期:1997-12-30 修回日期:1999-03-15 出版日期:1999-07-18 发布日期:1999-07-18
基金资助:
Department of Computer Science, Guangdong Normal Polytechnic (Guangdonginstitute for Nationalities), Guangzhou 510633, P. R. China

EXISTENCE AND UNIQUENESS OF SOLUTIONS TO THE DYNAMIC EQUATIONS FOR KOITER SHELLS

Xiao Liming

Institute of Mathematics, Fudan University, Shanghai 200433, P. R. China

Received:1997-12-30 Revised:1999-03-15 Online:1999-07-18 Published:1999-07-18
Supported by:
Department of Computer Science, Guangdong Normal Polytechnic (Guangdonginstitute for Nationalities), Guangzhou 510633, P. R. China

摘要/Abstract

摘要： In this paper, the dynamic equations for Koiter shells have been studied by Galerkin method, the existence and uniqueness to the solutions are proved.

关键词: curved tube, steady flow, bifurcation, topological structure, Galerkin technique

Abstract: In this paper, the dynamic equations for Koiter shells have been studied by Galerkin method, the existence and uniqueness to the solutions are proved.

Key words: curved tube, steady flow, bifurcation, topological structure, Galerkin technique

中图分类号:

肖黎明. EXISTENCE AND UNIQUENESS OF SOLUTIONS TO THE DYNAMIC EQUATIONS FOR KOITER SHELLS[J]. Applied Mathematics and Mechanics (English Edition), 1999, 20(7): 801-806.

Xiao Liming . EXISTENCE AND UNIQUENESS OF SOLUTIONS TO THE DYNAMIC EQUATIONS FOR KOITER SHELLS[J]. Applied Mathematics and Mechanics (English Edition), 1999, 20(7): 801-806.

[1]	Zhimin CHEN, W. G. PRICE. Secondary steady-state and time-periodic flows from a basic flow with square array of odd number of vortices[J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(3): 447-458.
[2]	Peng WANG, Shaopu YANG, Yongqiang LIU, Pengfei LIU, Xing ZHANG, Yiwei ZHAO. Research on hunting stability and bifurcation characteristics of nonlinear stochastic wheelset system[J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(3): 431-446.
[3]	Lele WANG, Liang WANG, Yueting ZHU, Zhanli LIU, Yongtao SUN, Jie WANG, Hongge HAN, Shuyi XIANG, Huibin SHI, Qian DING. Nonlinear dynamic response and stability analysis of the stapes reconstruction in human middle ear[J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(10): 1739-1760.
[4]	A. MOSLEMI, M. R. HOMAEINEZHAD. Effects of viscoelasticity on the stability and bifurcations of nonlinear energy sinks[J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(1): 141-158.
[5]	Yaode YIN, Demin ZHAO, Jianlin LIU, Zengyao XU. Nonlinear dynamic analysis of dielectric elastomer membrane with electrostriction[J]. Applied Mathematics and Mechanics (English Edition), 2022, 43(6): 793-812.
[6]	Lei LI, Hanbiao LIU, Jianxin HAN, Wenming ZHANG. Nonlinear modal coupling in a T-shaped piezoelectric resonator induced by stiffness hardening effect[J]. Applied Mathematics and Mechanics (English Edition), 2022, 43(6): 777-792.
[7]	N. A. ZAINAL, R. NAZAR, K. NAGANTHRAN, I. POP. Slip effects on unsteady mixed convection of hybrid nanofluid flow near the stagnation point[J]. Applied Mathematics and Mechanics (English Edition), 2022, 43(4): 547-556.
[8]	K. DEVARAJAN, B. SANTHOSH. Nonlinear dynamics and performance analysis of modified snap-through vibration energy harvester with time-varying potential function[J]. Applied Mathematics and Mechanics (English Edition), 2022, 43(2): 185-202.
[9]	Yunfei LIU, Jun WANG, Jiaxin HU, Zhaoye QIN, Fulei CHU. Multiple internal resonances of rotating composite cylindrical shells under varying temperature fields[J]. Applied Mathematics and Mechanics (English Edition), 2022, 43(10): 1543-1554.
[10]	Mengjiao HUA, Yu WU. Bifurcation in most probable phase portraits for a bistable kinetic model with coupling Gaussian and non-Gaussian noises[J]. Applied Mathematics and Mechanics (English Edition), 2021, 42(12): 1759-1770.
[11]	Junda LI, Jianliang HUANG. Subharmonic resonance of a clamped-clamped buckled beam with 1:1 internal resonance under base harmonic excitations[J]. Applied Mathematics and Mechanics (English Edition), 2020, 41(12): 1881-1896.
[12]	Li MA, Minghui YAO, Wei ZHANG, Dongxing CAO. Bifurcation and dynamic behavior analysis of a rotating cantilever plate in subsonic airflow[J]. Applied Mathematics and Mechanics (English Edition), 2020, 41(12): 1861-1880.
[13]	Yaji WANG, Hang XU, Q. SUN. New groups of solutions to the Whitham-Broer-Kaup equation[J]. Applied Mathematics and Mechanics (English Edition), 2020, 41(11): 1735-1746.
[14]	Yingjie WANG, Qichang ZHANG, Wei WANG, Tianzhi YANG. In-plane dynamics of a fluid-conveying corrugated pipe supported at both ends[J]. Applied Mathematics and Mechanics (English Edition), 2019, 40(8): 1119-1134.
[15]	Chuanshi SUN, Shuang LIU, Qi WANG, Zhenhua WAN, Dejun SUN. Bifurcations in penetrative Rayleigh-Bénard convection in a cylindrical container[J]. Applied Mathematics and Mechanics (English Edition), 2019, 40(5): 695-704.

EXISTENCE AND UNIQUENESS OF SOLUTIONS TO THE DYNAMIC EQUATIONS FOR KOITER SHELLS

EXISTENCE AND UNIQUENESS OF SOLUTIONS TO THE DYNAMIC EQUATIONS FOR KOITER SHELLS

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