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
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Paz, M., Kim, Y.H. (2019). Nonlinear Structural Response. In: Structural Dynamics. Springer, Cham. https://doi.org/10.1007/978-3-319-94743-3_6
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DOI: https://doi.org/10.1007/978-3-319-94743-3_6
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