Please use this identifier to cite or link to this item: http://ena.lp.edu.ua:8080/handle/ntb/33097
Title: Investigation of mathematical models for vibrations of one dimensional environments with considering nonlinear resistance forces
Authors: Pukach, P.
Sokhan, P.
Stolyarchuk, R.
Bibliographic description (Ukraine): Pukach P. Investigation of mathematical models for vibrations of one dimensional environments with considering nonlinear resistance forces / P. Pukach, P. Sokhan, R. Stolyarchuk // Econtechmod : an international quarterly journal on economics in technology, new technologies and modelling processes. – Lublin ; Rzeszow, 2016. – Volum 5, number 1. – P. 97–102. – Bibliography: 22 titles.
Issue Date: 2016
Publisher: Commission of Motorization and Energetics in Agriculture
Keywords: mathematical model
nonlinear vibrations
nonlinear boundary value problem
Galerkin method
nonlinear elastic properties
Abstract: 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.
URI: http://ena.lp.edu.ua:8080/handle/ntb/33097
Content type: Article
Appears in Collections:Econtechmod. – 2016. – Vol. 5, No. 1

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