Architectural research

  • 제8권2호
  • /
  • Pages.37-42
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  • 2006
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  • 1229-6163(pISSN)
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  • 2383-5575(eISSN)
대한건축학회 (Architectural Institute of Korea)
권호 표지

Constrained Dynamic Responses of Structures Subjected to Earthquake

  • Eun, Hee Chang (Department of Architectural Eng., Kangwon National University) ;
  • Lee, Min Su (Department of Architectural Eng., Kangwon National University)
  • 투고 : 2006.04.18
  • 발행 : 2006.12.30
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초록

Starting from the quadratic optimal control algorithm, this study obtains the relation of the performance index for constrained systems and Gauss's principle. And minimizing a function of the variation in kinetic energy at constrained and unconstrained states with respect to the velocity variation, the dynamic equation is derived and it is shown that the result compares with the generalized inverse method proposed by Udwadia and Kalaba. It is investigated that the responses of a 10-story building are constrained by the installation of a two-bar structure as an application to utilize the derived equations. The structural responses are affected by various factors like the length of each bar, damping, stiffness of the bar structure, and the junction positions of two structures. Under an assumption that the bars have the same mass density, this study determines the junction positions to minimize the total dynamic responses of the structure.

키워드

과제정보

연구 과제 주관 기관 : Korea Research Foundation

참고문헌

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  8. Udwadia, F.E. & Kalaba, R.E. (1992) 'A New Perspective on Constrained Motion,' Proceedings of the Royal Society of London, 439: 407-410
  9. Udwadia, F.E., Kalaba, R.E. & Eun, H.C. (1997) 'The extended D'Alembert's principle and equations of motion for constrained mechanical systems,' Quarterly of Applied Mathematics, 55: 321-331 https://doi.org/10.1090/qam/1447580
  10. Zhao, W., Pan, Z., & Chen, L. (2004) 'Constraint violation stabilization of Euler-Lagrange Equations with non-holonomic constraints,' Acta Mechanica Solida Sinica, 17: 45-51