Bstract the differential equation of detander mechanism’s rotation

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BSTRACT

THE DIFFERENTIAL EQUATION OF DETANDER MECHANISM’S ROTATION

V.M. Skovpen, N.A. Eronina

e–mail: [e-mail]

Snezhinsk State Physical and Technical Institute, Snezhinsk, Russia

Creation of mathematical model of any mechanism is preceded with an analysis stage of the

mechanism with the purpose of revealing dependences of output values from entrance influences, that

is reception of the differential equations of movement of researched system.

A characteristic kind of movement in rotor-planetary mechanisms is a rotation in relation to various

reference points.

The article contains the conclusion of the differential equation of  the rotor–planetary machine’s

mechanism rotation. The theoretical approach to reception of the differential equations of the rotor-

planetary machine’s rotation.of a similar kind is offered.

Creation of mathematical model of the mechanism as the differential equation was based on one

of the basic equations of dynamics — Lagrange’s equation of a second sort.

In this work the differential equation of detander’s mechanism’s rotation is received, which may be

used for consideration of questions of detander based electrogenerating systems’ stability and

maintenance of quality indicators (frequency, stability of frequency) the received electric power.

Key words: the general equation of dynamics, the generalized force, the generalized coordinate,

kinetic energy, active force, the moment of inertia, elementary work, elementary moving.

Pages — 6, figures — 3.