Please wait a minute...
Frontiers of Mechanical Engineering

ISSN 2095-0233

ISSN 2095-0241(Online)

CN 11-5984/TH

Postal Subscription Code 80-975

2018 Impact Factor: 0.989

Front. Mech. Eng.    2015, Vol. 10 Issue (2) : 145-153    https://doi.org/10.1007/s11465-015-0334-1
RESEARCH ARTICLE
Reliability-based robust design optimization of vehicle components, Part II: Case studies
Yimin ZHANG()
School of Mechanical Engineering and Automation, Northeastern University, Shenyang 110004, China
 Download: PDF(162 KB)   HTML
 Export: BibTeX | EndNote | Reference Manager | ProCite | RefWorks
Abstract

The reliability-based optimization, the reliability-based sensitivity analysis and robust design method are employed to propose an effective approach for reliability-based robust design optimization of vehicle components in Part I. Applications of the method are further discussed for reliability-based robust optimization of vehicle components in this paper. Examples of axles,torsion bar, coil and composite springs are illustrated for numerical investigations. Results have shown the proposed method is an efficient method for reliability-based robust design optimization of vehicle components.

Keywords vehicle axles and springs      reliability-based design optimization      reliability-based sensitivity analysis      multi-objective optimization      robust design     
Corresponding Author(s): Yimin ZHANG   
Online First Date: 28 April 2015    Issue Date: 14 July 2015
 Cite this article:   
Yimin ZHANG. Reliability-based robust design optimization of vehicle components, Part II: Case studies[J]. Front. Mech. Eng., 2015, 10(2): 145-153.
 URL:  
https://academic.hep.com.cn/fme/EN/10.1007/s11465-015-0334-1
https://academic.hep.com.cn/fme/EN/Y2015/V10/I2/145
Fig.1  Semi-axle structure
Fig.2  Fore-axle structure
Fig.3  Structure of rear-axle housing
Fig.4  Torsion bar structure
Fig.5  Coil spring structure
r/MPa d/mm D/mm G/MPa n y/mm
μ r σ r μ d σ d μ D σ D μ G σ G μ n σ n μ y σ y
1714.02 83.202 14 0.07 90 0.45 79250 1585 7 0.0833 208 4.16
Tab.1  Random variable for robust design optimization of a coil spring
Fig.6  Structure of composite springs
τ Torsional stress
T Torsional moment
d Diameter of circular section, inside diameter
σ Stress
M Bending moment
X=(X1,X2,…,Xn)T Vector of original random parameters
g(X) State function
r Material strength
s Complex stress
E( ) Mean value
Var( ) Variance
β Reliability index
μ( ) Mean value of ()
σ( ) Standard deviation of ()
R Reliability
D R / D x ˉ T Reliability-based sensitivity index
b Width
t Pitch
h Thickness of a connecting rod
W( ) Sectional coefficient
D Outside diameter
n Active number of a coil spring
G Elastic modulus
y Deformation
H0 Free height of a coil spring
δmax Maximal deformation of a spring
Fmax Maximal load
bc Critical proportion of free height, the medium diameter
f Natural frequency of coil spring
fr Excitation frequency
hi Thickness of plate
ni The numbers of panels with thickness hi
Hb Solid height of a coil spring
P External load of composite spring
γ Density of steel
l Span of composite spring
Tab.2  Nomenclature\
1 Zhang Y. Reliability-based robust design optimization of vehicle components, Part I: Theory. Frontiers of Mechanical Engineering, 2015,10(2): 138–144<?Pub Caret?>
[1] Shuo ZHU, Hua ZHANG, Zhigang JIANG, Bernard HON. A carbon efficiency upgrading method for mechanical machining based on scheduling optimization strategy[J]. Front. Mech. Eng., 2020, 15(2): 338-350.
[2] Muhammad Farhan AUSAF,Liang GAO,Xinyu LI. Optimization of multi-objective integrated process planning and scheduling problem using a priority based optimization algorithm[J]. Front. Mech. Eng., 2015, 10(4): 392-404.
[3] Yimin ZHANG. Reliability-based robust design optimization of vehicle components, Part I: Theory[J]. Front. Mech. Eng., 2015, 10(2): 138-144.
[4] Pengxing YI,Lijian DONG,Tielin SHI. Multi-objective genetic algorithms based structural optimization and experimental investigation of the planet carrier in wind turbine gearbox[J]. Front. Mech. Eng., 2014, 9(4): 354-367.
[5] Sunil Dhingra,Gian Bhushan,Kashyap Kumar Dubey. Multi-objective optimization of combustion, performance and emission parameters in a jatropha biodiesel engine using Non-dominated sorting genetic algorithm-II[J]. Front. Mech. Eng., 2014, 9(1): 81-94.
[6] Jian ZHANG,Yongliang CHEN,Deyi XUE,Peihua GU. Robust design of configurations and parameters of adaptable products[J]. Front. Mech. Eng., 2014, 9(1): 1-14.
[7] CAO Yan-long, MAO Jian, YANG Jiang-xin, WU Zhao-tong, WU Li-qun. A Robust Tolerance Design Method Based on Fuzzy Quality Loss[J]. Front. Mech. Eng., 2006, 1(1): 101-105.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed