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Abstract:
This paper deals with
the design sensitivity analysis of natural frequencies of gear-shaft
systems. A method is proposed for establishing the dynamical equation,
and the transmission ratio of gears is involved in the dynamical
equation by a transmission ratio matrix, which makes the establishing of
dynamical equation easier. The formulation of design sensitivity of
natural frequencies is derived with respect to design parameters
including stiffness of shafts, transmission ratio and inertia of gear or
other elements on the shafts. An example is given to illustrate the
procedure. The method proposed is of practical importance in the
optimization design of gear-shaft systems.
Key words:
Gear
transmission Torsional vibration Natural frequency
Sensitivity Optimization
国家自然科学基金资助项目. Received 19910209,
received in revised form 19920105
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