有限元法
桁架
非线性系统
加速度
一致性(知识库)
数学
职位(财务)
数学分析
理论(学习稳定性)
应用数学
算法
数学优化
计算机科学
结构工程
几何学
物理
经典力学
工程类
机器学习
经济
量子力学
财务
作者
João Paulo de Barros Cavalcante,Daniel Nelson Maciel,Marcelo Greco
标识
DOI:10.1142/s0219455418500761
摘要
This paper analyzes the dynamic response of space and plane trusses with geometrical and material nonlinear behaviors using different time integration algorithms, considering an alternative Finite Element Method (FEM) formulation called positional FEM. Each algorithm is distinguished from each other by its specific form of position, velocity, acceleration and equilibrium equation concerning the stability, consistency, accuracy and efficiency of solution. Particularly, the impact problems against rigid walls are analyzed considering Null-Penetration Condition. This formulation is based on the minimum potential energy theorem written according to the nodal positions, instead of the structural displacements. It has the advantage of simplicity when compared with the classical counterparts, since it does not necessarily reply on the corotational axes. Moreover, the performance of each temporal integration algorithm is evaluated by numerical simulations.
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