Sensitivity analysis and optimization design of hypoid gears’ contact pattern to misalignments

2019 ◽  
Vol 20 (6) ◽  
pp. 411-430 ◽  
Author(s):  
Xiao-le Wang ◽  
Jian-wei Lu ◽  
Shi-qin Yang
Keyword(s):  
Sensitivity Analysis ◽  
Optimization Design ◽  
Contact Pattern ◽  
Hypoid Gears

Structure Sensitivity Analysis and Dynamic Performance Optimization of Marine Gearbox

2017 ◽  
Author(s):  
Tengjiao Lin ◽  
Daokun Xie ◽  
Ziran Tan ◽  
Bo Liu
Keyword(s):  
Sensitivity Analysis ◽  
Performance Optimization ◽  
Optimization Design ◽  
Dynamic Performance ◽  
Structure Sensitivity ◽  
Superposition Method ◽  
Structure Parameters ◽  
Analysis Model ◽  
Vibration Acceleration ◽  
Response Optimization

The aim of this paper is to investigate the influence of structure parameters on the vibration characteristics and improve the dynamic performance of marine gearbox. A finite element model was established to solve the dynamic response by using modal superposition method. Based on the theory of multi-objective optimization design, the structure sensitivity analysis model of marine gearbox was established, which takes the structure parameters of the housing as design variables. The modal and response sensitivity was obtained by using the optimal gradient method. According to the results of sensitivity analysis, a modal and response optimization model of marine gearbox was established. The objective was to avoid natural frequencies from the excitation frequencies and minimize the root mean square of vibration acceleration of the evaluating points on the surface of housing. Then the modal optimization and response optimization of gearbox were carried out by using zero-order and first-order optimization method. The results indicate that the dynamic optimization of the gearbox can be achieved. After optimization, the amplitude of vibration acceleration of the evaluating points on the housing surface has been reduced and the resonance of marine gearbox can be avoided.

scholarly journals Multi-Objective Robust Optimization Using a Postoptimality Sensitivity Analysis Technique: Application to a Wind Turbine Design

2015 ◽  
Vol 137 (1) ◽  
Author(s):  
Weijun Wang ◽  
Stéphane Caro ◽  
Fouad Bennis ◽  
Ricardo Soto ◽  
Broderick Crawford
Keyword(s):  
Sensitivity Analysis ◽  
Robust Optimization ◽  
Wind Turbine ◽  
Optimization Design ◽  
Optimization Problems ◽  
Design Environment ◽  
Multi Objective ◽  
Pareto Ranking ◽  
Analysis Technique ◽  
Robust Optimization Design

Toward a multi-objective optimization robust problem, the variations in design variables (DVs) and design environment parameters (DEPs) include the small variations and the large variations. The former have small effect on the performance functions and/or the constraints, and the latter refer to the ones that have large effect on the performance functions and/or the constraints. The robustness of performance functions is discussed in this paper. A postoptimality sensitivity analysis technique for multi-objective robust optimization problems (MOROPs) is discussed, and two robustness indices (RIs) are introduced. The first one considers the robustness of the performance functions to small variations in the DVs and the DEPs. The second RI characterizes the robustness of the performance functions to large variations in the DEPs. It is based on the ability of a solution to maintain a good Pareto ranking for different DEPs due to large variations. The robustness of the solutions is treated as vectors in the robustness function space (RF-Space), which is defined by the two proposed RIs. As a result, the designer can compare the robustness of all Pareto optimal solutions and make a decision. Finally, two illustrative examples are given to highlight the contributions of this paper. The first example is about a numerical problem, whereas the second problem deals with the multi-objective robust optimization design of a floating wind turbine.

Reliability optimization design of a planar multi-body system with two clearance joints based on reliability sensitivity analysis

2018 ◽  
Vol 233 (4) ◽  
pp. 1369-1382 ◽  
Author(s):  
Yong Gao ◽  
Fang Zhang ◽  
Yuanyuan Li
Keyword(s):  
Sensitivity Analysis ◽  
Contact Force ◽  
Optimization Design ◽  
Great Influence ◽  
Force Model ◽  
Reliability Optimization ◽  
Clearance Joints ◽  
Clearance Joint ◽  
Reliability Sensitivity ◽  
Reliability Sensitivity Analysis

A general method for reliability sensitivity analysis and reliability optimization design of planar slider crank mechanism with two clearance joints was presented. A continuous contact force model considering energy dissipation was employed to estimate the contact force acting on the clearance joint. The Monte Carlo method was used to analyze the reliability sensitivity. In addition, based on the Kriging method, a surrogate model was constructed with consideration of explicit function expression. The precision and reliability of the presented method have been successfully demonstrated by numerical simulation. The results show that the number and position of clearance joint considered have a great influence on the maximum allowable displacement of the slider. The changing of the reliability sensitivity for the mean and variance of several random variables has certain regularity. Compared with the determinacy optimization design, the reliability optimization design presented here shows better dynamical performances.

Optimization design of aeronautical hydraulic pipeline system based on non-probabilistic sensitivity analysis

2019 ◽  
Vol 233 (5) ◽  
pp. 815-825 ◽  
Author(s):  
Zheng Zhang ◽  
Changcong Zhou ◽  
Wenxuan Wang ◽  
Zhufeng Yue
Keyword(s):  
Sensitivity Analysis ◽  
Probabilistic Sensitivity Analysis ◽  
Optimization Design ◽  
Maximum Stress ◽  
Pipeline System ◽  
Effective Solution ◽  
Maximum Displacement ◽  
First Order ◽  
Before And After ◽  
Dynamic Performances

This article investigates the design of constraint hoops in the aeronautical hydraulic pipeline system. Non-probabilistic sensitivity analysis is used to screen out the hoops which are insensitive to the maximum stress response, the maximum displacement response as well as the first-order natural frequency. The analysis result can give guidance to reduce the size and weight of the pipeline system. Based on the pretreatment analysis, the position coordinates of the remaining constraint hoops are further optimized. Comparison before and after optimization reveals that the dynamic performances of the pipeline system are significantly improved. This study indicates that the proposed method can provide an effective solution for the design of aeronautical hydraulic pipeline systems.

Study of V/H/J of Pointing-Lapping for Hypoid Gears

2013 ◽  
Vol 300-301 ◽  
pp. 217-220 ◽  
Author(s):  
Hua Ru Yan ◽  
Miao Xin Xiao
Keyword(s):  
Nonlinear Equations ◽  
Surface Defects ◽  
Numerical Control ◽  
Tooth Surface ◽  
Contact Pattern ◽  
Hypoid Gears ◽  
Surface Contact

Pointing-lapping is a lapping way for modifying tooth surface defects of hypoid gears. For numerical control, V/H/J calculation principle of pointing-lapping of hypoid gears is introduced. According to mesh relations and coordinate relations, 8 nonlinear equations are formed on the basis of mesh theory of hypoid gears. V/H/J can be got by solving the nonlinear equations, which can be finished easily by computation program. The accuracy of the calculation principle has been proved by tooth surface contact pattern test in Y9550 roll checking machine.

Stability Margin Sensitivity Analysis of a Multi-Rotor System Geared by Spiral Bevel Gear Pairs

2010 ◽  
Vol 97-101 ◽  
pp. 3215-3218
Author(s):  
Ye Sen Fan ◽  
San Min Wang ◽  
Zhen Yang
Keyword(s):  
Sensitivity Analysis ◽  
Optimization Design ◽  
Stability Margin ◽  
Rotor System ◽  
Bevel Gear ◽  
Dynamic Equations ◽  
Spiral Bevel Gear ◽  
Global Dynamic ◽  
Spiral Bevel ◽  
The Stability

To study the stability margin sensitivity to the parameters of the geared rotor system is prerequisite to carry on structure optimization design and vibration control. The global dynamic equations of the geared two rotor system are set up through the coupled matrix of the spiral bevel gear pairs, and the stability margin is obtained by analyzing the global dynamic equations. To enhance the damping of the bearings and to enhance the module and mesh damping of the gear pairs can improve the stability margin of the geared rotor system. The method for the stability margin sensitivity analysis of the geared multi-rotor system is feasible. The conclusions from the numerical example are useful to improve the stability margin of the geared multi-rotor systems.

scholarly journals Multiobjective Robust Design of the Double Wishbone Suspension System Based on Particle Swarm Optimization

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Xianfu Cheng ◽  
Yuqun Lin
Keyword(s):  
Sensitivity Analysis ◽  
Particle Swarm Optimization ◽  
Robust Optimization ◽  
Optimization Design ◽  
Particle Swarm ◽  
Design Sensitivity ◽  
Suspension System ◽  
Design Parameters ◽  
Swarm Optimization ◽  
The Mean

The performance of the suspension system is one of the most important factors in the vehicle design. For the double wishbone suspension system, the conventional deterministic optimization does not consider any deviations of design parameters, so design sensitivity analysis and robust optimization design are proposed. In this study, the design parameters of the robust optimization are the positions of the key points, and the random factors are the uncertainties in manufacturing. A simplified model of the double wishbone suspension is established by software ADAMS. The sensitivity analysis is utilized to determine main design variables. Then, the simulation experiment is arranged and the Latin hypercube design is adopted to find the initial points. The Kriging model is employed for fitting the mean and variance of the quality characteristics according to the simulation results. Further, a particle swarm optimization method based on simple PSO is applied and the tradeoff between the mean and deviation of performance is made to solve the robust optimization problem of the double wishbone suspension system.

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