Scientific studies

A03: Kinematics of Pseudo Translational Motion of Rigid Body

ABSTRACT: The article introduces the concept of pseudo translational motion for a free ideal rigid body (from the Greek ψευδο – lie). This motion is assumed to represent a particular case of its general motion, but with very little rotation about a chosen pole. The kinematics of pseudo-translational motion has some specific features that are […]

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CP03: Free Undamped Three-Dimensional Vibrations of an Unsymmetrical Rigid Body on an Elastic Foundation

ABSTRACT: Free three-dimensional vibrations of a nonsymmetrical rigid body on an elastic ground: This paper describes a free three-dimensional vibration of a nonsymmetrical rigid body on an elastic ground. The body has six degrees of freedom. The elastic ground by three coefficients of elasticity is determined. A system of differential equations, which are described the

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A01: Mechano-Mathematical Modeling and Research of the Flight of a Tennis Ball in Lift Strokes

ABSTRACT: In the article, mechano-mathematical modeling of the flight of a tennis ball is made, taking into account the Magnus effect. The differential equations describing the movement of the ball during lifted shots are derived depending on the initial conditions: the initial angle of the racket surface, the initial linear velocity of the swing, and

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CP02: Dynamical Matrices with Considering the Resistance

ABSTRACT: The investigations of structural constructions, which are put under dynamical excitations, by using dynamical matrices are done for models, which have many degrees of freedom. But the most real structural constructions have hysteretic damping, which is modeled as viscous damping. This fact makes the investigations more difficult. It is necessary to be used more

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CP01: Dynamical Matrices without Considering the Resistance

ABSTRACT: The investigations of structural constructions, which are put under dynamical excitations, by using dynamical coefficients are possible only for mechanical systems with one degree of freedom. That is why, to a certain extent, using of this method is limited. The most real structural constructions have many degrees of freedom. The dynamical coefficients are modified

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