ABSTRACT: In this article, new equations called Condensed Lagrange equations (CLEs) are defined. With their help, the rigid body’s absolute general motion is studied. The rigid body is considered to be homogeneous and unsymmetrical. CLEs are similar in structure to the classical Lagrange equations from the second type, applied in vector-matrix form, but CLEs are …
A17: Condensed Lagrange Equations in Theoretical Mechanics Read More »
ABSTRACT: In this article, a rigid body’s absolute general motion is studied. The rigid body is assumed as homogeneous and unsymmetrical. New additional kinetic characteristics are used. The most important of these are the following: the vector-real generalized velocity of the rigid body, the vector generalized impulse of the rigid body, and the vector-real generalized …
A16: Theorem for Change of Generalized Impulse in Theoretical Mechanics Read More »
ABSTRACT: The absolute motion of an arbitrary asymmetric rigid body is studied. This motion is determined after its relative motion has been obtained. The most important peculiarity in this dynamical rigid body model is that the selected pole does not coincide with its mass center. Seven new kinematic characteristics have been defined. The first ones …
A15: Theoretical Matrix Study of Rigid Body Absolute Motion Read More »
ABSTRACT: The relative motion of an arbitrary asymmetrical rigid body in this article is studied. Three new additional kinematic characteristics are defined, namely, vectors-real absolute, transmissive, and relative generalized velocity. A new theorem for summation of the rigid body’s real generalized velocities, with these new additional kinematic characteristics, is formulated. Using the final differential equations …
A14: Theoretical Matrix Study of Rigid Body Relative Motion Read More »
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 …
A10: Experimental Determination of Vibration Levels of Electric Compressor Aggregate Read More »
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 …
A08: Motion of Asymmetrical Rigid Body in Fluid Area Read More »
