Chapter 3

Single Degree of Freedom System: Harmonic Loading


A harmonic loading or sinusoidal loading is the simplest dynamic force and frequently encountered in vibrations due to machines. The nature of the force is well defined in terms of magnitude, frequency, shape, as well as duration. It is, therefore, customary to begin the study of dynamics of structures with this loading. A single-degree-of-freedom (SDOF) system is subjected to harmonic loading and its response is studied without and with damping. The total response consists of two components: a transient response, which dies out quickly and a steady state response, which continues till the forcing function continues. The steady state response has a constant amplitude ...

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