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Optimal passive vibration control of Timoshenko beams with arbitrary boundary conditions traversed by moving loads

Younesian, D ; Sharif University of Technology | 2008

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  1. Type of Document: Article
  2. DOI: 10.1243/14644193JMBD121
  3. Publisher: 2008
  4. Abstract:
  5. Passive control of vibration of beams subjected to moving loads is studied in which, an optimal tuned mass damper (TMD) system is utilized to suppress the undesirable beam vibration. Timoshenko beam theory is applied to the beam model having three types of boundary conditions, namely, hinged-hinged, hinged-clamped, and the clamped-clamped ends, and the governing equations of motion are solved using the Galerkin method. For every set of boundary conditions, a minimax problem is solved using the sequential quadratic programming method and the optimum values of the frequency and damping ratios for the TMD system are obtained. To show the effectiveness of the designed TMD system, simulations of an actual railway bridge traversed by the S.K.S. Japanese high-speed train are carried out and the dynamic performance of the bridge before and after the installation of the TMD system are compared. © IMechE 2008
  6. Keywords:
  7. Boundary value problems ; Bridges ; Damping ; Equations of motion ; Galerkin methods ; Lattice vibrations ; Mathematical programming ; Mathematical transformations ; Nonlinear programming ; Numerical analysis ; Passive networks ; Quadratic programming ; Railroad cars ; Railroads ; Vibration control ; Vibrations (mechanical) ; (I ,J) conditions ; Applied (CO) ; Arbitrary boundary conditions ; Beam modeling ; Beam vibration ; Clamped ends ; Damping ratios ; dynamic performances ; Galerkin ; Governing equations of motion ; High speed train (HST) ; Minimax problems ; Moving loads (train) ; Passive control ; Passive vibration control ; railway bridges ; Sequential quadratic programming (SQP) method ; Timoshenko beam theory ; Timoshenko beams ; TMD systems ; Tuned mass damper (TMD) system ; Boundary conditions
  8. Source: Proceedings of the Institution of Mechanical Engineers, Part K: Journal of Multi-body Dynamics ; Volume 222, Issue 2 , 2008 , Pages 179-188 ; 14644193 (ISSN)
  9. URL: https://journals.sagepub.com/doi/abs/10.1243/14644193JMBD121