Articles

ABSTRACT: In this paper, the trajectories of a soccer ball for the most important kicks in the football game – a corner kick and a direct free kick are studied. The soccer ball is modeled as an ideal rigid hollow spherical body with six degrees of freedom, which performs a general motion in an immovable […]

ABSTRACT: The forced three-dimensional vibrations of a machine unit “electric motor-compressor”, mounted on the wagons of electric trains from the traction of “BDZ” EAD in this work are studied. The purpose of the work is to determine the parameters of the vibrating insulation of the unit that is suspended on three vertical supports to the

ABSTRACT: In this paper, the forced three-dimensional vibrations of a machine unit mounted on the wagons of the electric modular trains are studied. The unit is suspended on three vertical supports to the wagon frame. A vibrating isolation assembly is constructed at the top end of each carrier. The unit is accepted as an ideal

ABSTRACT: Vibrations resulting from powertrain work and auxiliary equipment reduce the comfort, reliability, and durability of the vehicles. The vibration levels transmitted to the passenger compartment and the emitted structural noise depend mainly on the efficiency of their vibration isolation with respect to the vehicle body. The work presents an experimental determination of the vibration

ABSTRACT: The article examines the general motion of a homogeneous solid body in a fluid medium. The body is an ellipsoid with three mutually perpendicular planes of geometric and material symmetry. The intersections of these planes with the ellipsoid represent three ellipses of different sizes. The body is assumed to have six degrees of freedom.

ABSTRACT: The article examines the general motion of an arbitrarily asymmetric homogeneous rigid body in a fluid medium. Through a defined new theorem – Theorem for change of the generalized momentum of a rigid body, and new Lagrange equations in structure, called Condensed Lagrange equations, the differential equations describing the spatial movement of the body

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

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

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

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

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

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

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