Abstract
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.
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Shen, H., Duan, Z. (2009). A Time-History Analysis Algorithm of a Non-viscously Damped System Using Gauss Precise Integration. In: Deng, H., Wang, L., Wang, F.L., Lei, J. (eds) Artificial Intelligence and Computational Intelligence. AICI 2009. Lecture Notes in Computer Science(), vol 5855. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-05253-8_25
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DOI: https://doi.org/10.1007/978-3-642-05253-8_25
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