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Vibration of linear structures due to jump‐discontinuous, non‐interrupted, stochastic processes
Author(s) -
Mironowicz W.,
Śniady P.
Publication year - 1990
Publication title -
earthquake engineering and structural dynamics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.218
H-Index - 127
eISSN - 1096-9845
pISSN - 0098-8847
DOI - 10.1002/eqe.4290190408
Subject(s) - jump , vibration , excitation , stochastic process , mathematics , deflection (physics) , random vibration , mathematical analysis , statistical physics , physics , classical mechanics , acoustics , statistics , quantum mechanics
The solution of the problem of vibration of linearly elastic structures, caused by stochastic excitation of non‐interrupted, jump‐discontinuous character, is considered in the paper. Two types of excitation are examined. They form an enhancement of the continuous model which is most often used. The solution in the form of expected values, correlation functions and spectral densities of the deflection of the structure is formulated. Examples illustrating the solution are presented.