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 […]
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
A05: Three-Dimensional Golf Ball Flight Read More »
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
A04: Three-Dimensional Vibrations of Aggregate Connected with Elastic Elements Read More »
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
A03: Kinematics of Pseudo Translational Motion of Rigid Body Read More »
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
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
A02: Three-Dimensional Study of the Flight of a Tennis Ball Read More »
Resort “St. St. Konstantin and Elena”, BULGARIA, 09. September 2013 https://1drv.ms/b/c/b9f980bbcaa2448f/IQBwGgm7avguRpwxyRvbkxk2ASOsAuLETcwJ3pU4BXirRpk?e=khVQbS
PR01: Three-Dimensional Study the Tennis Ball Flight Read More »
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
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
CP02: Dynamical Matrices with Considering the Resistance Read More »
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
CP01: Dynamical Matrices without Considering the Resistance Read More »
