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| Time-history analysis of non-viscously damped systems based on the differential quadrature method |
| Received:August 04, 2010 Revised:March 04, 2011 |
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| DOI：10.7511/jslx201104005 |
| KeyWord:non-viscous damping exponential damping differential quadrature method time-step integration |
| Author | Institution |
| 潘玉华 |
北京交通大学 土木建筑工程学院,北京 |
| 王元丰 |
北京交通大学 土木建筑工程学院,北京 |
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| Abstract: |
| Time-history analysis of multiple-degree-of-freedom linear systems with exponential non-viscous damping is considered. In the non-viscously damped system, the damping forces depend on the time history of velocities, which are represented by convolution integrals between the velocities and exponentially decaying kernel functions. Since the damping model is changed, the classic integration methods, such as Newmark-β method and Wilson-θ method, can not be directly employed in the non-viscously damped systems. Based on an unconditionally stable differential quadrature method, the time step integration algorithms for the non-viscously damped systems are proposed. In contrast with other methods revised in the literature, the proposed method does not need to transform the equations of motion into an extended state-space representation, but can be directly employed to calculate the responds of the non-viscously damped systems,which has the advantages of conceptual simplicity, extensive applicability and high accuracy. Numerical examples are presented to demonstrate the validity of the proposed method. |
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