Articles

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 …

A07: Theoretical Matrix Study of Rigid Body Pseudo Translational Motion Read More »

ABSTRACT: In this paper, a general motion of the free asymmetrical rigid body to an absolute coordinate system is studied. The rotating component of body motion is described by using Cardan angles. A new kind of theorem is formulated. It is called the Theorem of change of generalized body impulse. New kinds of differential Lagrange …

A06: Theoretical Matrix Study of Rigid Body General Motion Read More »

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: 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 »

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 …

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