Investigation of mathematical models for vibrations of one dimensional environments with considering nonlinear resistance forces

• Autorzy: Pukach P. , Sokhan P. , Stolyarchuk R.
• Języki publikacji: EN

Abstrakty

EN

In this paper we consider important classes of one dimensional environments, bending stiffness of which can be neglected. It is impossible to apply approximate analytical method of solution of mathematical models of dynamic processes. So justification of existence and uniqueness of solutions, carried out a qualitative their evaluation, based on numerical analysis are considering in this paper. Also the features of dynamic processes of some of examined class of systems are analyzed. Methods of qualitative study of oscillations for restricted and unrestricted bodies under the influence of the resistance forces, described in this paper are based on the general principles of the theory of nonlinear boundary value problems – Galerkin method and the method of monotonicity. Scientific novelty consists in generalization these methods of studying for nonlinear problems at new classes of oscillating systems, justification of solution correctness for specified mathematical models that have practical application in real engineering vibration systems.

Słowa kluczowe

EN

mathematical model; nonlinear vibrations; nonlinear boundary value problem; Galerkin method; nonlinear elastic properties

• Wydawca: Polish Academy of Sciences, Branch in Lublin
• Czasopismo: ECONTECHMOD : An International Quarterly Journal on Economics of Technology and Modelling Processes
• Rocznik: 2016
• Tom: Vol. 5, No 1
• Strony: 97--102
• Opis fizyczny: Bibliogr. 22 poz., wykr., wz.

Twórcy

autor

Pukach P.

• Department of Higher Mathematics; Lviv Polytechnic National University S. Bandery str., 12, Lviv, 79013, Ukraine
• Hetman Petro Sahaidachny National Army Academy

autor

Sokhan P.

• Department of Higher Mathematics; Lviv Polytechnic National University S. Bandery str., 12, Lviv, 79013, Ukraine

autor

Stolyarchuk R.

• Department of Higher Mathematics; Lviv Polytechnic National University S. Bandery str., 12, Lviv, 79013, Ukraine

Bibliografia

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Uwagi

PL

Opracowane ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę