Development of Mathematical Models for Gapless Motion in Mechanical Systems

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Copyright: 2026
Pages: 54
Source title: Mathematical Modeling in Machine Transport Dynamics
Source Author(s)/Editor(s): Andrey Vladimirovich Eliseev (Irkutsk State Transport University, Russia)and Nikolay Konstantinovich Kuznetsov (Irkutsk National Research Technical University, Russia)
DOI: 10.4018/979-8-3373-0447-2.ch007

Keywords: Engineering Science Reference / Mechanical Engineering / Science & Engineering / Transportation Studies

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Abstract

Methods of structural mathematical modeling are being developed in applications to solving problems of estimating, forming and correcting dynamic states of mechanical oscillatory systems that allow the implementation of unilateral interactions of elements.The purpose of the study is to determine the motion parameters of the system, at which there is no break in contact between the elements of the solid. The equations of static and dynamic equilibrium of the system are presented, as well as the contact conditions of the elements. The Dalembert principle is used to determine the dynamic component of the reaction. Particular attention is paid to assessing the range of change in the dynamic component of the contact reaction and constructing an estimate of the parameters at which the contact between the elements of the composite solid is not disturbed during the period of steady motion.

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Development of Mathematical Models for Gapless Motion in Mechanical Systems

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