Structural Engineering and Mechanics

  • 제5권3호
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  • Pages.283-295
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  • 1997
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

High precision integration for dynamic structural systems with holonomic constraints

  • Liu, Xiaojian (Department of Civil Engineering, University of Portsmouth) ;
  • Begg, D.W. (Department of Civil Engineering, University of Portsmouth) ;
  • Devane, M.A. (Department of Civil Engineering, University of Portsmouth) ;
  • Zhong, Wanxie (Dalian University of Technology)
  • 발행 : 1997.05.25
⟨ 이전 논문 다음 논문 ⟩

초록

This paper presents a high precision integration method for the dynamic response analysis of structures with holonomic constraints. A detail recursive scheme suitable for algebraic and differential equations (ADEs) which incorporates generalized forces is established. The matrix exponential involved in the scheme is calculated precisely using $2^N$ algorithm. The Taylor expansions of the nonlinear term concerned with state variables of the structure and the generalized constraint forces of the ADEs are derived and consequently, their particular integrals are obtained. The accuracy and effectiveness of the present method is demonstrated by two numerical examples, a plane truss with circular slot at its tip point and a slewing flexible cantilever beam which is currently interesting in optimal control of robot manipulators.

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참고문헌

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피인용 문헌

  1. Performance and numerical behavior of the second-order scheme of precise time-step integration for transient dynamic analysis vol.23, pp.6, 2007, https://doi.org/10.1002/num.20221
  2. A second-order scheme for integration of one-dimensional dynamic analysis vol.49, pp.2-3, 2005, https://doi.org/10.1016/j.camwa.2004.08.009
  3. Theoretical Analysis of Human-Structure Interaction on Steel-Concrete Composite Floors vol.146, pp.4, 2020, https://doi.org/10.1061/(asce)em.1943-7889.0001740