Scientific studies – Page 5 – Anastas Ivanov Ivanov

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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PR02: Free Three-Dimensional Vibrations of Rigid Body

Presentations

University of Structural Engineering and Architecture “Lyuben Karavelov”, Sofia, BULGARIA, 1-3 November 2017 https://drive.google.com/open?id=1Qlpob69VDXDvtVqzLiOB8fbihCoTZYvY&authuser=aniviv027%40gmail.com&usp=drive_fs

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

Conference Papers

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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A05: Three-Dimensional Golf Ball Flight

Articles

ABSTRACT: The three-dimensional (3D) flight of a golf ball taking into account the Magnus effect is studied in the paper. For this purpose, it is composed of a system of six nonlinear differential equations. To determine the 3D orientation of the ball the rotations around all three axes are given by the so-called Cardan angles …

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

Articles

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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A03: Kinematics of Pseudo Translational Motion of Rigid Body

Articles

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

Conference Papers

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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A02: Three-Dimensional Study of the Flight of a Tennis Ball

Articles

ABSTRACT: The article examines the three-dimensional motion of a tennis ball with the Magnus Effect taken into account. A system of six nonlinear differential equations is constructed. A formula for the drag moment of the air medium is proposed. Cardan angles are used. A program was created in the area of the MatLab package, with …

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PR01: Three-Dimensional Study the Tennis Ball Flight

Presentations

Resort “St. St. Konstantin and Elena”, BULGARIA, 09. September 2013 https://drive.google.com/open?id=1wieWWZ3jEKGba_iN2ALoxgLJwbM2huKY&authuser=aniviv027%40gmail.com&usp=drive_fs

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

Articles

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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