Improved Explicit Integration Algorithms for Structural Dynamic Analysis with Unconditional Stability and Controllable Numerical Dissipation
Improved Explicit Integration Algorithms for Structural Dynamic Analysis with Unconditional Stability and Controllable Numerical Dissipation
复制标题
改进的显式积分算法，用于具有无条件稳定性和可控数值耗散的结构动态分析
DOI：
10.1080/13632469.2017.1326423
复制
发表时间：
2019
影响因子：
2.6
通讯作者：
J. Ricles
中科院分区：
文献类型：
--
作者：
C. Kolay;J. Ricles
摘要一种计算有效的单参数显式（即，非线性系统的非迭代）直接积分算法具有二阶精度，线性系统的无条件稳定性，可控的数值耗散的惯性问题的发展。无条件的稳定性是在一个明确的制定使用基于模型的算法的概念，其中的算法参数是模型矩阵的函数。所提出的方法改善了超调和非线性稳定特性的KR方法，现有的显式模型为基础的算法。所提出的方法的数值特性与KR-方法进行了比较，并通过有代表性的数值例子进一步证明。
ABSTRACT A computationally efficient one-parameter family of explicit (i.e., non iterative for nonlinear systems) direct integration algorithms featuring second-order accuracy, unconditional stability for linear systems, and controllable numerical dissipation is developed for solving inertial problems. Unconditional stability is attained within an explicit formulation using the concept of model-based algorithms in which the algorithmic parameters are functions of the model matrices. The proposed method improves the overshoot and nonlinear stability characteristics of the KR- method, an existing explicit-model-based algorithm. Numerical characteristics of the proposed method are compared with those of the KR- method and further demonstrated through representative numerical examples.