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Response of a Multidegree‐of‐Freedom System of Variable Coefficients to Random Excitation
Author(s) -
Szopa J.
Publication year - 1982
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19820620706
Subject(s) - random variable , variable (mathematics) , degrees of freedom (physics and chemistry) , control theory (sociology) , variance (accounting) , mathematics , probabilistic logic , basis (linear algebra) , function (biology) , stochastic process , computer science , mathematical analysis , physics , statistics , control (management) , artificial intelligence , geometry , accounting , quantum mechanics , evolutionary biology , business , biology
This paper presents a method of determining probabilistic characteristics concerning the response of a multidegree‐of‐freedom system with variable coefficients to random excitation. This method is based on the application of a stochastic Volterra integral equation of the second kind and not on the multidegree impulsive response (Green's function) difficult to calculate for this type of the systems. On the Basis of the suggested method there have been carried out numerical calculations concerning the variance of the response of the two‐degree‐of‐freedom system with variable mass.