RESEARCH ON THE FREQUENCY RELIABILITY SENSITIVITY AND RELIABILITY-BASED ROBUST DESIGN OF THE RANDOM VIBRATION SYSTEM OF CONTINUOUS ROD

2016 ◽  
Vol 40 (4) ◽  
pp. 469-479
Author(s):  
Chunmei Lü ◽  
Yimin Zhang ◽  
He Li ◽  
Na Zhou
Keyword(s):  
Robust Design ◽  
Random Vibration ◽  
Design Method ◽  
Random Parameter ◽  
Dynamic Structure ◽  
Stochastic Dynamic ◽  
Vibration System ◽  
Reliability Sensitivity ◽  
Reliability Method ◽  
Continuous Rod

The frequency reliability sensitivity in the stochastic dynamic structure system and reliability-based robust design were studied deeply in this paper. With the criterion that the absolute value of the difference between natural frequency and forcing frequency, the frequency reliability method of avoiding resonance was proposed. Then frequency reliability sensitivity theory was presented, which provided a preliminary efficient way to analyze how each random parameter contributed to the system reliability. Moreover, the frequency reliability-based robust design method was obtained by robust and optimization technology on the basis of the frequency reliability and sensitivity research in the paper, which helped designers to establish acceptable parameter values and to determine the fluctuations of the parameters for the safe operations. Meanwhile, a numerical example of the random vibration system of continuous rod was provided and studied. The effectiveness and accuracy of the proposed methods were well demonstrated.

A time-varying reliability-based robust design method considering overall efficiency of axial piston pump

2021 ◽  
pp. 1748006X2110661
Author(s):  
Zunling Du ◽  
Yimin Zhang
Keyword(s):  
Energy Conversion ◽  
Robust Design ◽  
Design Method ◽  
Design Stage ◽  
Structure Parameters ◽  
Time Varying ◽  
Design Variables ◽  
Reliability Method ◽  
Overall Efficiency ◽  
Axial Piston

Axial piston pumps (APPs) are the core energy conversion components in a hydraulic transmission system. Energy conversion efficiency is critically important for the performance and energy-saving of the pumps. In this paper, a time-varying reliability design method for the overall efficiency of APPs was established. The theoretical and practical instantaneous torque and flow rate of the whole APP were derived through comprehensive analysis of a single piston-slipper group. Moreover, as a case study, the developed model for the instantaneous overall efficiency was verified with a PPV103-10 pump from HYDAC. The time-variation of reliability for the pump was revealed by a fourth-order moment technique considering the randomness of working conditions and structure parameters, and the proposed reliability method was validated by Monte Carlo simulation. The effects of the mean values and variance sensitivity of random variables on the overall efficiency reliability were analyzed. Furthermore, the optimized time point and design variables were selected. The optimal structure parameters were obtained to meet the reliability requirement and the sensitivity of design variables was significantly reduced through the reliability-based robust design. The proposed method provides a theoretical basis for designers to improve the overall efficiency of APPs in the design stage.

An approach of robust reliability design for mechanical components

2005 ◽  
Vol 219 (3) ◽  
pp. 275-283 ◽  
Author(s):  
Y M Zhang ◽  
X D He ◽  
Q L Liu ◽  
B C Wen
Keyword(s):  
Robust Design ◽  
Design Method ◽  
Random Variables ◽  
Design Parameters ◽  
Theoretical Formula ◽  
Reliability Design ◽  
Reliability Sensitivity ◽  
Mechanical Components ◽  
Reliability Based Optimization ◽  
Robust Reliability

The reliability-based optimization, the reliability sensitivity technique, and the robust design are employed to present a practical and effective approach of robust reliability design for mechanical components on the condition of known probabilistic characteristics of original random variables. The theoretical formula of robust reliability design for mechanical components is obtained. The respective program can be used to obtain the robust reliability design parameters accurately and quickly. According to the numerical results, the method proposed is a convenient and practical robust reliability design method.

Reliability-Based Robust Optimization Design for Rubbing Rotor System

2011 ◽  
Vol 105-107 ◽  
pp. 1100-1104
Author(s):  
Chang Qing Su ◽  
Le Xin Li ◽  
Yi Min Zhang
Keyword(s):  
Robust Design ◽  
Design Theory ◽  
Optimization Design ◽  
Design Method ◽  
Rotor System ◽  
Fourth Moment ◽  
Reliability Sensitivity ◽  
Robust Optimization Design ◽  
Reliability Based Optimization ◽  
First Four Moments

Based on the reliability-based optimization design theory, the reliability sensitivity technique and the robust design method, the reliability-based robust design of rubbing rotor system is extensively discussed and a numerical method for reliability-based robust design is proposed. The reliability sensitivity is added to the reliability-based optimization design model and the reliability-based robust design is described as a multi-objection optimization. On the condition of known first four moments of basic random variables, the respective program can be used to obtain the reliability-based robust design information of rubbing rotor system accurately and quickly using the fourth moment technique. According to the numerical results, the approach proposed is a convenient and practical reliability-based roust design method.

Reliability-based robust design of wind turbine’s shrink disk

2017 ◽  
Vol 232 (15) ◽  
pp. 2685-2696 ◽  
Author(s):  
Jianmei Wang ◽  
Ke Ning ◽  
Junliang Xu ◽  
Zhixiong Li
Keyword(s):  
Robust Design ◽  
Design Method ◽  
Minimum Principle ◽  
Reliability Model ◽  
Strength Model ◽  
Interference Fit ◽  
Dynamic Reliability ◽  
Multi Objective ◽  
Traditional Design ◽  
Reliability Sensitivity

Wind turbine’s shrink disk (WTSD), as a component of transmission system, plays a crucial role in the wind turbine work. In this study, the matrix expression of combined pressure and interference magnitude has been derived by analyzing the geometry relationship of interference fit of multi-layer cylinder. The mechanic model is built by simplifying WTSD as interference fit of multi-layer cylinder. The reliability model is established on the basis of pressure-strength model, and the formula regarding reliability sensitivity is derived. In terms of the minimum principle on the square sum of reliability sensitivity and the minimum reliability principle, the reliability-based robust design (RBRD) model is built under the multi-objective conditions, and the dynamic reliability model is established on the basis of reliability model, load model, and residual strength model. Dynamic reliability sensitivity formula is deduced, and the dynamic reliability-based robust design (DRBRD) model is established under the multi-objective conditions. The effects of the coefficient of friction, assembly clearance, and yield strength on the reliability of WTSD are analyzed by RBRD and DRBRD methods. Taking a type of WTSD as an example, the calculating results validate that the reliability changes along with interference magnitude. The comparison of results shows that the above methods and Monte Carlo method have the same tendency and approximately agree well. Moreover, the traditional design method and RBRD method are compared. It turned out that RBRD can improve the reliability of WTSD by 47.6%, the reliability-based sensitivity is less than that from the traditional design method, and the robustness is stronger. The experiment verified that the design methods of this study can better meet the operation requirements.

Reliability-Based Robust Optimization Design for Lattice Tower Structure

2011 ◽  
Vol 201-203 ◽  
pp. 1312-1316
Author(s):  
Xin Jiang ◽  
Hui Jian Li ◽  
Bai Feng Gao ◽  
Xi Liang
Keyword(s):  
Robust Optimization ◽  
Robust Design ◽  
Optimization Design ◽  
Design Method ◽  
Design Model ◽  
Reliability Sensitivity ◽  
Tower Structure ◽  
Robust Optimization Design ◽  
Lattice Tower ◽  
Reliability Based Optimization

Reliability Analysis is applied into tower structural design and influence of uncertain factors is considered into the design. The reliability robust optimization mathematical model of tower structure is established by combining the reliability optimization designing theory with the robust design method and injecting reliability sensitivity into the design model. The reliability sensitivity is added to the reliability-based optimization design model and the stiffness reliability-based robust design is reduced to a multi-objection optimization. Take the lattice tower structure for example, after designing, it shows not only lighter weigh, saving in material, simplifying construction, but also improving its safety and stability. The example proves the method to be effective.

Reliability-Based Optimization and Robust Design of a Coil Tube-Spring with Non-Normal Distribution Parameters

2005 ◽  
Vol 219 (6) ◽  
pp. 567-575 ◽  
Author(s):  
Y. M. Zhang ◽  
X. D. He ◽  
Q. L. Liu ◽  
B. C. Wen
Keyword(s):  
Normal Distribution ◽  
Robust Design ◽  
Design Method ◽  
Design Parameters ◽  
Edgeworth Series ◽  
Reliability Sensitivity ◽  
Distribution Parameters ◽  
Reliability Based Optimization ◽  
Robust Design Method ◽  
First Four Moments

This paper proposes the application of reliability-based optimization and robust design methods of a coil tube-spring. The perturbation method, the Edgeworth series, the reliability-based optimization, the reliability sensitivity technique, and the robust design method are employed to present practical and effective approaches of reliability-based optimization and robust design for coil tube-spring with non-normal distribution parameters, on the condition of the known first four moments of the original random variables. Theoretical formulae for reliability-based optimization and robust design are obtained. The respective programmes can be used to obtain the reliability-based optimization and robust design parameters of a coil tube-spring with non-normal distribution parameters accurately and quickly.

Frequency Reliability Robust Optimization for Rotor System

2012 ◽  
Vol 479-481 ◽  
pp. 1023-1026
Author(s):  
Chang Qing Su ◽  
Le Xin Li
Keyword(s):  
Robust Optimization ◽  
Robust Design ◽  
Design Theory ◽  
Optimization Design ◽  
Design Method ◽  
Optimization Method ◽  
Rotor System ◽  
Reliability Design ◽  
Reliability Sensitivity ◽  
Reliability Robust Design

The material properties and geometry of rotor system are random parameters because of the manufacturing environment, manufacturing and installation errors and other factors. Based on the reliability design theory, the reliability sensitivity technique and the robust design method, the frequency reliability robust optimization method of rotor system is extensively discussed. The frequency reliability sensitivity is added to the reliability-based optimization design model of rotor system. The frequency reliability robust design is described as a multi-objection optimization. The method presented provided the theoretic basis for the reliability robust design of the rotor system. A numerical example demonstrated that the proposed method is effective.

scholarly journals Novel Robust Design Method of Multilayer Optical Coatings

ISRN Optics ◽  
2012 ◽  
Vol 2012 ◽  
pp. 1-6 ◽  
Author(s):  
Suyong Wu ◽  
Xingwu Long ◽  
Kaiyong Yang
Keyword(s):  
Robust Design ◽  
Optimization Design ◽  
Design Method ◽  
Analytical Calculation ◽  
Design Procedure ◽  
Deposition Process ◽  
Practical Significance ◽  
Optical Coatings ◽  
Optical Films ◽  
Robust Design Method

We present a novel fast robust design method of multilayer optical coatings. The sensitivity of optical films to production errors is controlled in the whole optimization design procedure. We derive an analytical calculation model for fast robust design of multilayer optical coatings. We demonstrate its effectiveness by successful application of the robust design method to a neutral beam splitter. It is showed that the novel robust design method owns an inherent fast computation characteristic and the designed film is insensitive to the monitoring thickness errors in deposition process. This method is especially of practical significance to improve the mass production yields and repetitive production of high-quality optical coatings.

Robust Layout Synthesis of a MEM Crab-Leg Resonator Using a Constrained Genetic Algorithm

2007 ◽  
Author(s):  
Zhun Fan ◽  
Sofiane Achiche
Keyword(s):  
Genetic Algorithm ◽  
Robust Design ◽  
Optimization Problem ◽  
Design Method ◽  
Research Work ◽  
Constrained Optimization Problem ◽  
Geometric Uncertainties ◽  
Layout Synthesis ◽  
Target Performance ◽  
Robust Design Method

The research work carried out in this paper introduces a robust design method for layout synthesis of MEM resonator subject to inherent geometric uncertainties such as the fabrication error on the sidewall of the structure. The robust design problem is formulated as a multi-objective constrained optimization problem with certain assumptions and treated by a special constrained genetic algorithm. The MEM design used for validation is a crab-leg resonator taken from the literature. The results show that the approach proposed in this research can lead to design results that meet the target performance and are less sensitive to geometric uncertainties than typical designs.

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