Symbolic computations in structural dynamics using stochastic second order perturbation method

• Autorzy: Kamiński M.
• Języki publikacji: EN

Abstrakty

EN

The main idea is to show the application of symbolic computations in analysis of engineering systems with random parameters. The general computational methodology is based on the stochastic second order perturbation method and its implementation in the mathematical package MAPLE. The entire approach is displayed on the example of a simple single degree of freedom dynamical system with random spring stiffness. The results of symbolic computations are derived numerically in the form of probabilistic moments of the structural response, computed for the whole analysis time domain. This methodology can be applied to all the engineering problems, where the response can be derived symbolically in the deterministic case, while input parameters of the system are random variables, fields or processes characterized by the probability density function (PDF) of any type.

Słowa kluczowe

EN

symbolic computations; stochastic second order perturbation method

PL

przekształcenia symboliczne; metoda perturbacji stochastycznej drugiego rzędu

• Wydawca: Wydawnictwo Politechniki Łódzkiej
• Czasopismo: Mechanics and Mechanical Engineering
• Rocznik: 2001
• Tom: Vol. 5, nr 1
• Strony: 69--80
• Opis fizyczny: Bibliogr. 10 poz.

Twórcy

autor

Kamiński M.

• Technical University of Lodz, Division of Mechanics of Materials, Al. Politechniki 6, 93-590 Lodz, Poland,

Bibliografia

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• 6. Kamiński M. On some probabilistic failure criteria for composites. In: M. Brandt, V.C. Li, I.H. Marshall, eds., Brittle Matrix Composites 6. 2000; 251-260, Woodhead Publ. Ltd., Warsaw.
• 7. Kamiński M. Stochastic second order perturbation BEM formulation. Engrg. Anal. Bound. Elem. 1999; 2:123-130.
• 8. Kleiber M, Hien TD. The Stochastic Finite Element Method. Wiley, 1992.
• 9. Lin YK, Cai GQ, Probabilistic Structural Dynamics. McGraw-Hill: New York, 1995.
• 10. Sobczyk K, Stochastic Differential Equations: Applications in Physics, Engineering and Mechanics. Kluwer Acad. Publ., 1991.