An Analytical Model for Input Spectral Densities for Response Estimation
AbstractA mathematical approach is proposed to describe any arbitrarily varying power spectral density of a random process in order to obtain analytically the response of mechanical systems to such inputs. The proposed model optimally envelopes the input power spectral density with linear segments having rising and falling slopes as well as flat portions in dB scale and can be used to describe any power spectral density distribution to the required degree of accuracy. Response of a mechanical system to an arbitrary random loading is obtained by describing the input using this model and the result is compared against experimental ly measured response for the system under same loading. The computed mean square response agreed well with the experimentally measured value, thereby validating the usefulness of the proposed model in evaluating the response of any general dynamic systems under random loading.
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