Dynamic Optimization of Spur Gears

Abstract

This paper presents a global optimization method able to find gear profile modifications that minimize vibrations. A non linear dynamic model is used to study the vibrational behavior; the dynamic model is validated using data available in literature. The optimization method takes into account the influence of torque levels both on the static and the dynamic response. Therefore, two different objective functions are considered; the first one is based on static analysis and the second one is based on the dynamic behavior of a lumped mass system. The procedure can find the optimal profile modification that reduce the vibrations over a wide range of operating conditions. In order to reduce the computational cost, a Random-Simplex optimization algorithm is developed; the optimum reliability is also estimated using a Monte Carlo simulation. The approach shows good performances both for the computational efficiency and the reliability of results.

Gradual Change Reliability Sensitivity Design for Components with Arbitrary Distribution Parameters Based on Measured Information

“…The formula (1) shows that when the strength is greater than load at each moment of its design service period, components' structure is in the reliable state.…”

“…Although gradual change characteristics of loads are studied deeply, gradual change characteristics of strength still need further research [1] . It's mainly because there are lots of factors causing the strength degeneration of components, coupled with the change of physical properties of the material itself, it is hard to show the non-stationary stochastic process of strength degeneration using a certain mathematical model.…”

Vibration behavior optimization of planetary gear sets

“…Recently Bonori et al [33] applied genetic algorithms for optimizing spur gears in terms of static transmission ratio, the procedure considered a nonlinear finite element analysis for the evaluation of the transmission error within the optimization algorithm; moreover, in such paper some dynamic analyses were carried out to confirm the quality of the optimum. Marcello Faggioni et al [34] studied dynamic optimization of spur gears. Ambarisha and Parker [35] studied nonlinear dynamics of planetary gears.…”

Characteristic of involute slope modification of asymmetric spur gear

“…BONORI et al [2] used genetic algorithms to research the optimum profile. FAGGIONI et al [3] presented a global optimization method that focused on reducing gear vibration by means of profile modifications. ZHANG et al [4] performed computer-aided design based on the contact conditions of conjugated gears and the tooth end relief with helix by finite element analysis (FEA).…”