Dealing with a stationary narrow-band Gaussian process X(t) with mean zero, this paper derives a number of approximate solutions on the basis of the point-process approach. In particular, upper and lower bounds sharper than those presently available are established, an approximation based on the Markov point process is obtained, and the clump size approach is also used for approximation. These approximations are checked with the result of the semisimulation performed by Crandall, et al. . Some remarks are also made on the use of the principle of maximum entropy.
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On the First Excursion Probability in Stationary Narrow-Band Random Vibration
Applied Mechanics Section, Jet Propulsion Laboratory, Pasadena, Calif.
Department of Civil Engineering and Engineering Mechanics, Columbia University, New York, N. Y.
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Yang, J., and Shinozuka, M. (December 1, 1971). "On the First Excursion Probability in Stationary Narrow-Band Random Vibration." ASME. J. Appl. Mech. December 1971; 38(4): 1017–1022. https://doi.org/10.1115/1.3408904
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