Multi-body Dynamics and Modal Analysis of Compliant Gear Bodies
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چکیده
This paper extends the multi-body dynamics modelling strategy for rigid gears to include compliant gear bodies in multi-mesh transmissions. Only external, fixed center, helical or spur gears are considered. This formulation combines distributed gear mesh stiffness and gear blank compliance models in a multi-body dynamics framework resulting in a set of non-linear differential equations with time-varying coefficients. Linearization and other simplifications are applied to yield the resulting linear time-invariant equations of motion. Several solution techniques are then used to determine eigensolutions and forced harmonic responses. The resulting normal mode solutions are compared to those obtained by the finite element analysis for several examples of transmission containing flexible gears. These include ring-gears and bodies with discontinuities. A parametric study has been performed to assess the effect of gear orientation on the dynamics of transmissions. Finally analytical predictions are compared to the results of a laboratory experiment. 7 1998 Academic Press Limited
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