Scientific studies

A17: Condensed Lagrange Equations in Theoretical Mechanics

ABSTRACT: In this article, new equations called Condensed Lagrange equations (CLEs) are defined. With their help, the rigid body’s absolute general motion is studied. The rigid body is considered to be homogeneous and unsymmetrical. CLEs are similar in structure to the classical Lagrange equations from the second type, applied in vector-matrix form, but CLEs are

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A16: Theorem for Change of Generalized Impulse in Theoretical Mechanics

ABSTRACT: In this article, a rigid body’s absolute general motion is studied. The rigid body is assumed as homogeneous and unsymmetrical. New additional kinetic characteristics are used. The most important of these are the following: the vector-real generalized velocity of the rigid body, the vector generalized impulse of the rigid body, and the vector-real generalized

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CP10: Theoretical Study of Small Vibrations of Two Rigid Bodies with Damping

ABSTRACT: This theoretical article continues the study of the small three-dimensional vibrations of two rigid bodies. Here, they are connected not only with elastic but also with viscous damping elements. The main task of this study is also to show how is composed the system of differential equations and how is determined the damping matrix. The

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CP09: Theoretical Study of Small Vibrations of Two Rigid Bodies without Damping

ABSTRACT: The small three-dimensional vibrations of two rigid bodies connected with elastic elements are studied in this research. The main task in the paper is to show how the system of differential equations is formed, which describes these vibrations without considering the damping. For determining the stiffness matrix, the Finite Element Method (FEM) is used. The

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CP07: Theorem for Change of the Rigid Body Generalized Impulse

ABSTRACT: In this conference paper, a rigid body’s absolute general motion is studied. The rigid body is assumed as homogeneous and unsymmetrical. New additional kinetic characteristics are used. The most important of these are the following: the vector-real generalized velocity of the rigid body, the vector-generalized impulse of the rigid body, and the vector-real generalized force

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A14: Theoretical Matrix Study of Rigid Body Relative Motion

ABSTRACT: The relative motion of an arbitrary asymmetrical rigid body in this article is studied. Three new additional kinematic characteristics are defined, namely, vectors-real absolute, transmissive, and relative generalized velocity. A new theorem for summation of the rigid body’s real generalized velocities, with these new additional kinematic characteristics, is formulated. Using the final differential equations

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A12: Study of Forced Three-Dimensional Vibrations of Machine Aggregate “Electric Engine-Compressor”

ABSTRACT: The forced three-dimensional vibrations of a machine unit “electric motor-compressor”, mounted on the wagons of electric trains from the traction of “BDZ” EAD in this work are studied. The purpose of the work is to determine the parameters of the vibrating insulation of the unit that is suspended on three vertical supports to the

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A11: Determination of Isolation Parameters of Machine Aggregate “Electric Engina-Compressor”

ABSTRACT: In this paper, the forced three-dimensional vibrations of a machine unit mounted on the wagons of the electric modular trains are studied. The unit is suspended on three vertical supports to the wagon frame. A vibrating isolation assembly is constructed at the top end of each carrier. The unit is accepted as an ideal

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A10: Experimental Determination of Vibration Levels of Electric Compressor Aggregate

ABSTRACT: Vibrations resulting from powertrain work and auxiliary equipment reduce the comfort, reliability, and durability of the vehicles. The vibration levels transmitted to the passenger compartment and the emitted structural noise depend mainly on the efficiency of their vibration isolation with respect to the vehicle body. The work presents an experimental determination of the vibration

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