Response to Maxam and Tamma's discussion (EQE-18-0306) to Kolay and Ricles's paper, “Development of a family of unconditionally stable explicit direct integration algorithms with controllable numerical energy dissipation”

2019 ◽  
Vol 48 (4) ◽  
pp. 482-485 ◽  
Author(s):  
Chinmoy Kolay ◽  
James M. Ricles
Keyword(s):  
Energy Dissipation ◽  
Direct Integration ◽  
Unconditionally Stable ◽  
Integration Algorithms

scholarly journals Theory and Implementation of a Two-Step Unconditionally Stable Explicit Integration Algorithm for Vibration Analysis of Structures

2016 ◽  
Vol 2016 ◽  
pp. 1-8
Author(s):  
Li Changqing ◽  
Jie Junping ◽  
Jiang Lizhong ◽  
T. Y. Yang
Keyword(s):  
Vibration Analysis ◽  
Time History ◽  
Superior Performance ◽  
Explicit Integration ◽  
Third Order ◽  
Integration Algorithm ◽  
Unconditionally Stable ◽  
History Analysis ◽  
Integration Algorithms ◽  
Explicit Integration Algorithm

Time history analysis is becoming the routine process to quantify the response of the structure under dynamic loads. In this paper, a novel two-step unconditionally stable explicit integration algorithm, named Unconditional Stable Two-Step Explicit Displacement Method (USTEDM), is proposed for vibration analysis of structure. USTEDM is unconditionally stable, requires low memory, produces no overshoot, and is third order accurate. The accuracy and efficiency of USTEDM are presented and compared with other commonly used integration algorithms. The result shows that the proposed algorithm has superior performance and can be used efficiently in solving vibration response of civil engineering structure.

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