Scientific studies

A07: Theoretical Matrix Study of Rigid Body Pseudo Translational Motion

ABSTRACT: In this paper, a pseudo translational motion of a free asymmetrical rigid body into an absolute reference system is studied. A private kind of Theorem of change of generalized body impulse is formulated. This theorem is called the Theorem of change of pseudo generalized body impulse. A private kind of Condensed Lagrange equation in

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CP06: Free Three-Dimensional Vibrations of Rigid Body

ABSTRACT: The small free three-dimensional vibrations of an asymmetrical rigid body connected with elastic elements and specialized dampers in this paper are studied. The influence of the arbitrary chosen coordinate system on the system of differential equations was determined. It has been shown that such a selected coordinate system can not be used to obtain the

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CP05: Seismic Forces for Rigid Body Supported on Elastic Elements

ABSTRACT: In practical engineering is required to provide seismic protection of a rigid body, connected with one or more elastic elements. This task falls a little aside from structural mechanics, which deals mainly with seismic protection of structures and buildings. The rigid body has six degrees of freedom. Seismic forces and moments are obtained in the

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CP04: Influence of Dissipation in the Study of Free Three-Dimensional Vibrations of Rigid Body

ABSTRACT: In this paper, the free three-dimensional vibrations of a rigid body connected with elastic and damping elements are discussed. The task of determining the Eigen values and Eigen vectors is solved. According to the degree of damping, their variation is monitored. This task also solves the problem of determining the natural frequencies and the oscillation

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A04: Three-Dimensional Vibrations of Aggregate Connected with Elastic Elements

ABSTRACT: An investigation of the forced small three-dimensional vibrations of an asymmetrical body hanging from three mutually perpendicular coil springs is presented in the current paper. The forced vibrations are caused by harmonic changing excitation force. The three-dimensional behavior of the coil springs is taken into consideration. Dissipation from internal friction in all elastic elements

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