Multi-objective optimization of gearbox based on panel acoustic participation and response surface methodology

Abstract

Aiming at noise problem of two-stage gearbox, this paper uses the panel acoustic contribution analysis (PACA) and response surface methodology to conduct structural-borne acoustics analysis and multi-objective optimization of gearbox. Using this optimization, optimal layout and parameters of the added ribs can be determined. The dynamic model of a spur gear-shaft-bearing system is built in consideration of the time-varying mesh stiffness, the time-varying bearing stiffness, and the flexibility of the shaft, while dynamic load of the bearing is obtained through solving the model. The dynamic load of bearings is considered as excitation to analyze the vibration and noise radiation characteristics of housing. Furthermore, acoustic transfer vector, modal acoustic contribution and PACA are used to select the region with the most acoustic contribution. The variable ribs structure model (VRSM) is established in this region. Finally, the VRSM are adopted to optimize the housing. The optimization model based on the peak sound pressure level (PSPL) and the ribs mass (Rm) is established by using response surface method. Through multi-objective optimization, the variable in VRSM can be modified or deleted to reduce the radiated noise of the gearbox. The optimization results demonstrate that the PSPL after optimization is decreased by 4.88 dB at frequency of 3130 Hz. At the same mass, the noise reduction effect of VRSM is 12% higher than that of standard rib. Therefore, the optimization effect of the housing structure is obvious. PACA-VRSM-RSM- NSGA-II technology provides a new research scheme for reducing the vibration and noise of the gearbox.

Reliability based design optimization of a two-stage wind turbine gearbox

“…The design variables considered in the optimization included the number of teeth in the sun, planet, and ring gears, modulus, face width, input shaft diameter, and planet axis diameter. Qi et al [14] introduced an optimization approach based on the Peak Sound Pressure Level to mitigate the radiated noise of the gearbox. Similarly, Lei et al [15] have proposed a multi-objective optimization algorithm designed to reduce the causes of noise, including the value of the transmission error, its frequency and the maximum tooth load.…”

Influence of Passenger Capacity on Fatigue Life of Gearbox Suspender of the Traction Transmission System in Urban Railway Vehicles

“…Li et al [12] analyzed the vibration acceleration characteristics of the input side of the gearbox in the Simulink platform under the operating conditions of a varying harmonic torque amplitude in the traction transmission system. Qi et al [13] used the panel acoustic contribution analysis and response surface methodology to conduct a structural-borne acoustics analysis and ensure the multi-objective optimization of the gearbox. Hajnayeb et al [14,15] proposed a new approach to determine the effect of random manufacturing errors on the vibrations measured on the bearings of mating gears, and to compare the vibration characteristics of railway vehicle axlebox bearings with inner/outer race faults.…”