Titlebook: Rational and Applied Mechanics; Volume 1. Complete G Nikolai Nikolaevich Polyakhov,Mikhail Petrovich Yu Textbook 2021 Springer Nature Switz

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發(fā)起

Particle Dynamics makes it possible to generalize them to the motion of a?system of mass points with the help of the notion of representation point. The main cases of oscillatory motion of a particle, those of motion of a particle subject to central forces as well as dynamics of the particle relative motion are analyzed in detail.

Obituary

MUMP

Point Kinematicsther generalized to the case of the motion of mechanical systems, whose position is described by a?finite number of independent parameters. When considering curvilinear coordinates, some notions from dynamics are introduced in order to show how the differential geometry machinery can be obtained in

AMOR

Kinematics of the Rigid Solidint of the body in a general case of its motion. Important particular cases of the motion of a?rigid body are considered (translational motion, rotation about a?stationary axis, rotation about a?stationary point, planar motion).

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Composite Motionh that of simpler motions such as the relative motion and a?number of bulk (transport) ones. The results obtained for the composite motion of a?particle are applied to examine the composition of motion of a rigid body. We shall consider the composition of translational motions of a?rigid body and ro

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闡明

System Dynamicsare extended in this chapter to the case of motion of a system consisting of . particles. The general dynamics theorems making it possible to get the integrable combinations of equations of motion of a system in certain cases are proved.

Tracheotomy

Constrained Motionional principles, as is customary, but directly from the analysis of the restrictions imposed by the constraint equations on the acceleration of points in the system. We first consider in detail the constrained motion of one material point. Next, using the concept of a?representative point, the abov

Synchronism

Small Oscillations of Systemsthe two methods: the linearization of the initial nonlinear system of equations or preliminary reducing of the expressions for kinetic and potential energies to quadratic forms with constant coefficients. General solutions to equations of small oscillation are found, the notions of natural frequenci