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Rational study of hysteretic systems under stationary random excitation. (English) Zbl 0614.73094

The ”trace” method together with a new definition of the normalization factor of the response distribution density related to a probable maximum peak value of the response, lead to quasi-deterministic results which seem to be more realistic and more rational than those given by other known methods. In the particular case of bilinear hysteresis, it is shown that the statistical properties obtained are bounded by those of two limit linear cases.

MSC:

74H50 Random vibrations in dynamical problems in solid mechanics
70L05 Random vibrations in mechanics of particles and systems
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