Dynamic large deformation analysis of a cantilever beam

被引:0
作者
School of Traffic & Transportation Engineering, Changsha University of Science and Technology, China [1 ]
不详 [2 ]
UB8 3PH, United Kingdom
不详 [3 ]
E1 4NS, United Kingdom
机构
来源
Math Comput Simul | 2020年 / 183-204期
基金
中国国家自然科学基金;
关键词
Deformation - Ordinary differential equations - Nonlinear equations - Dynamic loads;
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摘要
A static and dynamic large deformation analysis of a tapered beam subjected to concentrated and distributed loads is presented in this paper by using a direct integration technique. The bending stiffness of the beam is coordinate dependent. The nonlinear differential equation is numerically solved using an iterative technique without an algebraic equation solver, thus the computational effort can be reduced. A concentrated mass fixed at the free end and suddenly released is studied, and the time-dependent displacements are presented. Comparison has been made with solutions obtained using Finite Element Analysis and excellent agreement is achieved. © 2020 International Association for Mathematics and Computers in Simulation (IMACS)
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页码:183 / 204
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