A two-step unconditionally stable explicit method with controllable numerical dissipations

作     者：Li Jinze Yu Kaiping Li Xiangyang 

作者机构：Department of Astronautic Science and Mechanics Harbin Institute of Technology 

出 版 物：《Earthquake Engineering and Engineering Vibration》 (地震工程与工程振动（英文刊）)

年 卷 期：2019年第18卷第2期

页      面：285-299页

核心收录：

学科分类：07[理学] 

基　　金：National Natural Science Foundation of China under Grant No.11372084 

主　　题：direct integration method unconditional stability numerical dissipation dynamic analysis 

摘      要：A family of unconditionally stable direct integration algorithm with controllable numerical dissipations is proposed. The numerical properties of the new algorithms are controlled by three parameters α, β and γ. By the consistent and stability analysis, the proposed algorithms achieve the second-order accuracy and are unconditionally stable under the condition that α≥-0.5, β≤ 0.5 and γ≥-(1+α)/2. Compared with other unconditionally stable algorithms, such as Chang s algorithms and CR algorithm, the proposed algorithms are found to be superior in terms of the controllable numerical damping ratios. The unconditional stability and numerical damping ratios of the proposed algorithms are examined by three numerical examples. The results demonstrate that the proposed algorithms have a superior performance and can be used expediently in solving linear elastic dynamics problems.