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Mechanics in Engineering ›› 2010, Vol. 32 ›› Issue (5): 72-75.doi: 10.6052/1000-0879-lxysj2010-072

• Application study • Previous Articles     Next Articles

REAL-TIME COMPUTATION OF MOMENT OF INERTIA AND DAMPING RATIO

  

  • Received:2010-03-02 Revised:2010-03-16 Online:2010-10-08 Published:2010-09-26

Abstract: In this paper, taking the prolate cycloid-three-wire as a model of physical dynamics, we consider the damping's influence on computation of workpiece's moment of inertia by using the second kind Lagrange's equation. It is difficult to calculate the value of amplitude of swing accurately by the amplitude measuring method. So, an equal arc length- time ratio method is proposed to improve the precision for a workpiece of large size. The damping ratio $\zeta $ is obtained by calculating the time ratio of hanging dish which swings beyond the equal arc length in the same location with different periods.

Key words: Prolate cycloid -three-wire, moment of inertia, damping ratio, the second kind Lagrange's equation