The concept of frequency response, which has long been used by communication engineers to predict the response of a linear system to a periodic, nonperiodic, or random input, is extended to the general case of a linear mechanical system subjected to a time-dependent, multidimensional loading. Various possible methods for determining the transfer function of a given system are examined. One method is given special attention; it is based on the cross correlation in space and time of the response of the given system to a multidimensional random load field with the response of another system to the same field.
On the Response of Linear Systems to Time-Dependent, Multidimensional Loadings
F. P. Beer
Department of Mechanics, Lehigh University, Bethlehem, Pa.
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Beer, F. P. (March 1, 1961). "On the Response of Linear Systems to Time-Dependent, Multidimensional Loadings." ASME. J. Appl. Mech. March 1961; 28(1): 50–56. https://doi.org/10.1115/1.3640466
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