Skip to main content
Article thumbnail
Location of Repository

Response of beams resting on viscoelastically damped foundation to moving oscillators

By G. Muscolino and Alessandro Palmeri

Abstract

The response of beams resting on viscoelastically damped foundation under moving SDoF oscillators is scrutinized through a novel state-space formulation, in which a number of internal variables is introduced with the aim of representing the frequency-dependent behaviour of the viscoelastic foundation. A suitable single-step scheme is provided for the numerical integration of the equations of motion, and the Dimensional Analysis is applied in order to define the dimensionless combinations of the design parameters that rule the responses of beam and moving oscillator. The effects of boundary conditions, span length and number of modes of the beam, along with those of the mechanical properties of oscillator and foundation, are investigated in a new dimensionless form, and some interesting trends are highlighted. The inaccuracy associated with the use of effective values of stiffness and damping for the viscoelastic foundation, as usual in the present state-of-practice, is also quantified

Topics: Dimension Analysis, Modal Strain Energy Method, Moving Oscillator, Standard Linear Solid Model, State-Space Equation, Train-Track Interaction, Viscoelastic Foundation
Year: 2006
OAI identifier: oai:bradscholars.brad.ac.uk:10454/604
Provided by: Bradford Scholars

Suggested articles

Citations

  1. A substructure approach for the dynamic analysis of train-track-bridge system. doi
  2. (1965). Classical normal modes in damped linear dynamic systems. doi
  3. Correlation coefficients for viscoelastically damped structures. doi
  4. (1996). Dinamically modified linear structures: deterministic and stochastic response. doi
  5. (1996). Dynamic analysis of beams on an elastic foundation subjected to moving loads. doi
  6. (2003). Dynamic characteristics of infinite and finite railways to moving loads. doi
  7. (1996). Dynamics of railway bridge. doi
  8. (2004). Effects of viscoelastic memory on the buffeting response of tall buildings. doi
  9. (1982). Finite element prediction of damping in structures with constrained viscoelastic layers. doi
  10. (1995). Modal equations of linear structures with viscoelastic dampers. doi
  11. (1986). Mode-superposition methods in dynamic analysis of classically and non-classically damped linear systems. doi
  12. (2000). Modelling the viscoelastic behaviour of elastomeric components: an application to the simulation of train-track interaction. doi
  13. (1996). Scaling, Self-Similarity, and Intermediate Asymptotics. doi
  14. (2003). State space formulation for linear viscoelastic dynamic systems with memory. doi
  15. (1976). The Dynamic Behaviour of Structures. doi
  16. The fatigue limit state in building with viscoelastic dampers. doi
  17. (2001). The Physical Basis of Dimensional Analysis,
  18. (2001). The Physical Basis of Dimensional Analysis, 2nd Ed.
  19. (2000). Time domain viscoelastic analysis of earth structures. doi
  20. (2005). Time-domain response of linear hysteretic system to deterministic and random excitation. doi
  21. (1996). Timoshenko beam on an elastic foundation and subject to a moving step load, Part 1: Steady-state response. doi
  22. (1996). Timoshenko beam on an elastic foundation and subject to a moving step load, Part 2: Transient response. doi
  23. (2004). Vehicle-Bridge Interaction Dynamics. World Scientific, doi
  24. (1995). Vibration Damping of Structural Elements. doi
  25. (1985). Vibration Damping. doi
  26. (2001). Vibration of railway bridges under a moving train by using bridge-track-vehicle element. doi
  27. (1999). Vibration of solids and structures under moving loads, 2 nd Ed. doi
  28. (1999). Vibration of solids and structures under moving loads, 2nd Ed. doi

To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.