A single-degree-of-freedom system with a bilinear spring is excited by a rectangular impulse of constant value, but whose amplitude has a probability distribution which is Gaussian. The peak response of the system under this excitation is determined, and its probability distribution is plotted as a function of its peak value.
Probability Distribution of Bilinear System Response to Impulse Excitation
Stephen F. Felszeghy,
Stephen F. Felszeghy
Hughes Aircraft Company, Missile Systems Division, El Segundo, Calif.
William T. Thomson
University of California, Canoga Park, Calif.
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Felszeghy, S. F., and Thomson, W. T. (June 1, 1966). "Probability Distribution of Bilinear System Response to Impulse Excitation." ASME. J. Appl. Mech. June 1966; 33(2): 384–386. https://doi.org/10.1115/1.3625053
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