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Nonlinear Structural Response

  • Mario Paz

Abstract

In discussing the dynamic behavior of single degree-of-freedom systems, we assumed that in the model representing the structure, the restoring force was proportional to the displacement. We also assumed the dissipation of energy through a viscous damping mechanism in which the damping force was proportional to the velocity. In addition, the mass in the model was always considered to be unchanging with time. As a consequence of these assumptions, the equation of motion for such a system resulted in a linear, second-order ordinary differential equation with constant coefficients, namely,
$$ m\ddot y + c\dot y + ky = F\left( t \right) $$
(1)

Keywords

Elastic Behavior Time Increment Plastic Behavior Solve Problem Spring Force 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media Dordrecht 1991

Authors and Affiliations

  • Mario Paz
    • 1
  1. 1.University of LouisvilleUSA

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