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A Time-History Analysis Algorithm of a Non-viscously Damped System Using Gauss Precise Integration

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Book cover Artificial Intelligence and Computational Intelligence (AICI 2009)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 5855))

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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Authors and Affiliations

  1. School of Civil Engineering, Harbin Institute of Technology, Harbin, Heilongjiang Province, China, 150090

    Hongyu Shen & Zhongdong Duan

Authors
  1. Hongyu Shen
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  2. Zhongdong Duan
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Editor information

Editors and Affiliations

  1. School of Business Information Technology, RMIT University, City Campus, 124 La Trobe Street, 3000, Melbourne, Victoria, Australia

    Hepu Deng

  2. College of Metrological Technology and Engineering, China Jiliang University, 310018, Hangzhou, Zhejiang Province, China

    Lanzhou Wang

  3. Department of Computer Science, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon Tong, Hong Kong, China

    Fu Lee Wang

  4. College of Information Science and Technology, Hainan University, 570228, Haikou, China

    Jingsheng Lei

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© 2009 Springer-Verlag Berlin Heidelberg

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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

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-05252-1

  • Online ISBN: 978-3-642-05253-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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