TY - GEN
T1 - A time-history analysis algorithm of a non-viscously damped system using Gauss precise integration
AU - Shen, Hongyu
AU - Duan, Zhongdong
PY - 2009
Y1 - 2009
N2 - Time-history analysis of a multiple-degree-of-freedom system with non-viscous damping was considered. It was assumed that the non-viscous damping forces depend on the past history of velocities via convolution integrals over exponentially decaying kernel functions. By transforming the equation of motion into a first-order extended state-space representation and combining the Gauss-Legendre quadrature with the calculation technique of matrix exponential function in the precise time-integration method, a more applicable time-history analysis method of this system was proposed. The main virtues of the proposed method were the avoidance of matrix inversion, the high efficiency and the selectable accuracy. A numerical example was given to demonstrate the validity and efficiency of the method.
AB - Time-history analysis of a multiple-degree-of-freedom system with non-viscous damping was considered. It was assumed that the non-viscous damping forces depend on the past history of velocities via convolution integrals over exponentially decaying kernel functions. By transforming the equation of motion into a first-order extended state-space representation and combining the Gauss-Legendre quadrature with the calculation technique of matrix exponential function in the precise time-integration method, a more applicable time-history analysis method of this system was proposed. The main virtues of the proposed method were the avoidance of matrix inversion, the high efficiency and the selectable accuracy. A numerical example was given to demonstrate the validity and efficiency of the method.
KW - Gauss-Legendre quadrature method
KW - Non-viscous damping
KW - Precise integration method
KW - State-space equation
KW - Time-history analysis
UR - https://www.scopus.com/pages/publications/71549158517
U2 - 10.1007/978-3-642-05253-8_25
DO - 10.1007/978-3-642-05253-8_25
M3 - 会议稿件
AN - SCOPUS:71549158517
SN - 3642052525
SN - 9783642052521
T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
SP - 221
EP - 230
BT - Artificial Intelligence and Computational Intelligence - International Conference, AICI 2009, Proceedings
T2 - International Conference on Artificial Intelligence and Computational Intelligence, AICI 2009
Y2 - 7 November 2009 through 8 November 2009
ER -