Probability density equivalent linearization and non-linearization techniques

• Autorzy: Socha L.
• Języki publikacji: EN

Abstrakty

EN

The concept of equivalent linearization and non-linearization for dynamic systems under Gaussian excitations with criteria in probability density space is considered in this paper. The term non-linearization used in the literature means the procedure of finding an equivalent nonlinear system for stochastically excited Hamiltonian system. New criteria of linearization and non-linearization and two approximate approaches are proposed. In the first one, the direct minimization of a criterion is applied and the approximation of the probability density function by the truncated Gram-Charlier expansion is used. In the second approach, equivalent linearization or non-linearization is made for the Fokker-Planck equations corresponding to the original nonlinear and linearized or non-linearized dynamic systems, respectively. Two examples are given to illustrate the results obtained.

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 1999
• Tom: Vol. 51, nr 3-4
• Strony: 487--507
• Opis fizyczny: Bibliogr. 16 poz.,

Twórcy

autor

Socha L.

• Institute of Transport, Silesian Technical University, ul. Krasińskiego 8, 40-019 Katowice, Poland