Вісники та науково-технічні збірники, журнали

Permanent URI for this communityhttps://ena.lpnu.ua/handle/ntb/12

Browse

Search Results

Now showing 1 - 2 of 2
  • Thumbnail Image
    Item
    Investigation of mathematical models for vibrations of one dimensional environments with considering nonlinear resistance forces
    (Commission of Motorization and Energetics in Agriculture, 2016) Pukach, P.; Sokhan, P.; Stolyarchuk, R.
    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.
  • Thumbnail Image
    Item
    Influence of some speed parameters on the dynamics of nonlinear flexural vibrations of a drill column
    (Національний університет "Львівська політехніка", 2013) Pukach, P.; Kuzio, I.; Nytrebych, Z.
    We investigate the influence of the motion of fluid flushing the cutter of a well drilling column, and the angular rotational velocity upon dynamic characteristics of its flexural vibrations. We take into account the nonlinear elastic features of column material. As a base of the research we took the Galerkin method and the Van der Pol method. Combining those two methods made possible to obtain the relations describing the main parameters of the dynamical process in both nonresonance and resonance case.