Structural Engineering and Mechanics

  • 제6권5호
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  • Pages.473-484
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  • 1998
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

DOI QR Code

Direct implementation of stochastic linearization for SDOF systems with general hysteresis

  • Dobson, S. (Stochastic Mechanics and Analysis Research Group, Worcester Polytechnic Institute) ;
  • Noori, M. (Stochastic Mechanics and Analysis Research Group, Worcester Polytechnic Institute) ;
  • Hou, Z. (Stochastic Mechanics and Analysis Research Group, Worcester Polytechnic Institute) ;
  • Dimentberg, M. (Stochastic Mechanics and Analysis Research Group, Worcester Polytechnic Institute)
  • 발행 : 1998.07.25
⟨ 이전 논문 다음 논문 ⟩

초록

The first and second moments of response variables for SDOF systems with hysteretic nonlinearity are obtained by a direct linearization procedure. This adaptation in the implementation of well-known statistical linearization methods, provides concise, model-independent linearization coefficients that are well-suited for numerical solution. The method may be applied to systems which incorporate any hysteresis model governed by a differential constitutive equation, and may be used for zero or non-zero mean random vibration. The implementation eliminates the effort of analytically deriving specific linearization coefficients for new hysteresis models. In doing so, the procedure of stochastic analysis is made independent from the task of physical modeling of hysteretic systems. In this study, systems with three different hysteresis models are analyzed under various zero and non-zero mean Gaussian White noise inputs. Results are shown to be in agreement with previous linearization studies and Monte Carlo Simulation.

키워드

참고문헌

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피인용 문헌

  1. Linearization in Analysis of Nonlinear Stochastic Systems: Recent Results—Part I: Theory vol.58, pp.3, 2005, https://doi.org/10.1115/1.1896368
  2. Drift response of a bilinear hysteretic system to periodic excitation under sustained load effects vol.41, pp.4, 2006, https://doi.org/10.1016/j.ijnonlinmec.2006.01.001
  3. Drift response of bilinear hysteretic systems under two-frequency excitations vol.41, pp.8, 1998, https://doi.org/10.1016/j.ijnonlinmec.2006.06.003