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| Time-history analysis of a non-viscous damped system using precise integration |
| Received:September 06, 2007 |
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| DOI：10.7511/jslx20095005 |
| KeyWord:non-viscous damping state-space equation precise integration time-history analysis |
| Author | Institution |
| 段忠东 |
哈尔滨工业大学 土木工程学院,哈尔滨 |
| 沈洪宇 |
哈尔滨工业大学 土木工程学院,哈尔滨 |
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| Abstract: |
| Time-history analysis of a multiple-degree-of-freedom system with non-viscous damping is considered. In the non-viscous damped system, the damping force relates with the velocity time history by a convolution integral between the velocity and a decaying kernel function in its mathematical formulation. By transforming the equation of motion into a first-order extended state-space representation, the precise integration technique is employed to numerically solve the state-space equation. Two examples are given. The results show that the proposed method herein gives almost theoretically accurate solutions to the non-viscous damped system, and at the same time its computational efficiency has increased ten-fold. |