Numerical studies of dynamic stability under small random parametric excitations

• Autorzy: Bobryk R. V. R. V. , Chrzeszczyk A.
• Języki publikacji: EN

Abstrakty

EN

An efficient numerical procedure is proposed to obtain mean-square stability regions for both single-degree-of-freedom and two-degree-of-freedom linear systems under parametric bounded noise excitation. This procedure reduces the stability problem to a matrix eigenvalue problem. Using this approach, ranges of applicability to the well-known stochastic averaging method are discussed. Numerical results show that the small parameter size in the stochastic averaging method can have a significant effect on the stability regions. The influence of noise on the shape of simple and combination parametric resonances is studied.

Słowa kluczowe

EN

random vibration; stochastic averaging; mean square stability; bounded noise

PL

zakłócenia przypadkowe; uśrednianie stochastyczne; stabilność średniokwadratowa; ograniczony poziom hałasu

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Computer Assisted Mechanics and Engineering Sciences
• Rocznik: 2010
• Tom: Vol. 17, no. 2-3-4
• Strony: 89--97
• Opis fizyczny: Bibliogr. 24 poz., tab., wykr.

Twórcy

autor

Bobryk R. V. R. V.

autor

Chrzeszczyk A.

• Institute of Mathematics, Jan Kochanowski University, Świętokrzyska 15, 25-406 Kielce, Poland,

Bibliografia

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