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

dc.contributor.authorPukach, P.
dc.contributor.authorSokhan, P.
dc.contributor.authorStolyarchuk, R.
dc.date.accessioned2016-06-09T11:02:47Z
dc.date.available2016-06-09T11:02:47Z
dc.date.issued2016
dc.description.abstractIn 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.uk_UA
dc.identifier.citationPukach 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.uk_UA
dc.identifier.urihttps://ena.lpnu.ua/handle/ntb/33097
dc.language.isoenuk_UA
dc.publisherCommission of Motorization and Energetics in Agricultureuk_UA
dc.subjectmathematical modeluk_UA
dc.subjectnonlinear vibrationsuk_UA
dc.subjectnonlinear boundary value problemuk_UA
dc.subjectGalerkin methoduk_UA
dc.subjectnonlinear elastic propertiesuk_UA
dc.titleInvestigation of mathematical models for vibrations of one dimensional environments with considering nonlinear resistance forcesuk_UA
dc.typeArticleuk_UA

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