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dynamic software & engineering
Application Areas
optiSLang is one of the most efficient
software tools for tasks regarding
sensitivity analysis, optimization, re-
liability evaluation and robustness
evaluation. optiSLang is successfully
applied for fatigue-related optimization and robustness
problems in a wide range of industrial sectors including au-
tomotive, electronics and consumer products. Due to its bal-
anced approach of robust analysis, optimization and pre-/
post-processing capabilities, optiSLang offers efficient and
computationally affordable solutions in the following ap-
plication areas:
• Robustness evaluation of fatigue life predictions
• Identification and quantification of variability sources ef-
fecting fatigue life and fatigue strength
• Robust fatigue-design optimization
• Fatigue-based risk and reliability analysis (cumulative
and instantaneous risk analysis, lifetime distributions)
• Decision support for operation and inspection times in
order to warrant product reliability and integrity
• Optimized planning of fatigue tests for cost-effective
and robust parameter estimation
APPLICATIONS FOR
FATIGUE-RELATED OPTIMIZATION
Reliability-based fatigue analysis and Robust Design Optimization (RDO) with optiSLang®
.
Modeling Issues
Variability in physical properties and manufacturing pro-
cesses has to be explicitly taken into account in virtual
simulation in order to avoid non-robust design solutions
and, consequently, customer dissatisfaction or warranty
claims. optiSLang offers most realistic modeling capabili-
ties for uncertainties in fatigue analysis like:
• Variability of material properties (fracture toughness,
material strength, etc.)
• Uncertainties in usage of time and initial fatigue quality-
Probabilistic fatigue load descriptors (time- or frequency
- domain)
• Stochastic damage evolution laws (crack growth, dam-
age accumulation, parameter uncertainties)
• Maintenance, inspection and testing uncertainties
Method Overview
Deterministic approaches are unable to take into account
above uncertainties without leading to over-designed and
cost-ineffective design solutions. The necessity of assess-
ing and improving the robustness of a particular solution
requires methods based on reliability analysis and design
optimization with probabilistic models. optiSLang supplies
the user with generally applicable and reliable methods:
• Simulation-based global sensitivity analysis and robust-
ness evaluation
• Failure rate and lifetime distribution estimators
• First-order reliability method and advanced Monte Carlo
simulation procedures
• Surrogate model builder
• Efficient optimization strategies (adaptive response sur-
face, evolutionary algorithms) suitable for fatigue reli-
ability problems
Adaptive response surface for estimating the probability of exceeding nominal lifetime
Typical industrial application:
reliability analysis of a pinion
shaft to ensure the nominal
lifetime
T
© Dynardo GmbH • Dynamic Software and Engineering
Steubenstraße 25 • 99423 Weimar • phone +49 (0)3643 900830 • contact@dynardo.de • www.dynardo.de
Application Example
Project goal: A typical application case is the robust de-
sign optimization of an automotive fan shroud. Primary
goal of the project was to effect significant weight sav-
ings under fatigue constraints. As reference, the best en-
gineering design solution so far was taken. The shroud
was modeled with ANSYS DesignModeler. Design criteria
were evaluated utilizing ANSYS non-linear static analysis.
The fatigue requirements of the molded shroud were for-
mulated in terms of plastic stresses and strains.
Optimization: For optimization, a set of 94 CAD parame-
ters were chosen as design variables. Performing a global
sensitivity analysis using 100 latin hypercube samples, six
input parameters have been selected as being either most
effective in weight savings or most sensitive to fatigue re-
quirements. For this reduced set, a weight saving of 13%
was achieved with optiSLang’s adaptive response surface
method after only 50 design evaluations. The weight was
further reduced to 15% by utilizing optiSLang’s evolution-
ary algorithm with 100 additional design evaluations.
Robustness: The optimized design solution was assessed
in terms of robustness. Since the molding process causes
thickness as well as material uncertainties, we modeled
61 CAD tolerances and material values as random vari-
ates. Using 70 latin hypercube samples, the 3-sigma val-
ues of the maximum strains and stresses were checked
and the critical tolerances were identified. After a satis-
fying step with small design modifications, the 3-sigma
robustness was reached.
Project result: With optiSLang’s optimization and robust-
ness algorithms, the weight of the fan shroud was re-
duced by 15% with warranted robustness. Today, the fan
shroud is in production and has proven its successfulness.
The amount of weight savings was a positive surprise to
the design department and shows the high potential of
CAE-based robust design optimization.
Finite element mesh of initial layout of automotive fan shroud
Identification of design details affecting most fatigue lifetime
Key Issues Addressed
optiSLang’s combination of robustness evaluation and
optimization procedures allows the user to gain reliable
understanding of the fatigue performance of virtual
products by addressing key issues like:
• Which environmental conditions induce the largest fa-
tigue damage?
• To what degree does resistance model uncertainty influ-
ence fatigue life?
• To what degree does load uncertainty (amplitude, num-
ber of cycles, extreme events, etc.) influence fatigue life?
• Which components/details dominate fatigue life time?
• How to make a design robust against uncertainties?
• Which parameters or parameter uncertainties need
further investigation?
• How to maintain and inspect most cost-efficiently?

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Reliability-based fatigue analysis and Robust Design Optimization (RDO) with optiSLang

  • 1. dynamic software & engineering Application Areas optiSLang is one of the most efficient software tools for tasks regarding sensitivity analysis, optimization, re- liability evaluation and robustness evaluation. optiSLang is successfully applied for fatigue-related optimization and robustness problems in a wide range of industrial sectors including au- tomotive, electronics and consumer products. Due to its bal- anced approach of robust analysis, optimization and pre-/ post-processing capabilities, optiSLang offers efficient and computationally affordable solutions in the following ap- plication areas: • Robustness evaluation of fatigue life predictions • Identification and quantification of variability sources ef- fecting fatigue life and fatigue strength • Robust fatigue-design optimization • Fatigue-based risk and reliability analysis (cumulative and instantaneous risk analysis, lifetime distributions) • Decision support for operation and inspection times in order to warrant product reliability and integrity • Optimized planning of fatigue tests for cost-effective and robust parameter estimation APPLICATIONS FOR FATIGUE-RELATED OPTIMIZATION Reliability-based fatigue analysis and Robust Design Optimization (RDO) with optiSLang® . Modeling Issues Variability in physical properties and manufacturing pro- cesses has to be explicitly taken into account in virtual simulation in order to avoid non-robust design solutions and, consequently, customer dissatisfaction or warranty claims. optiSLang offers most realistic modeling capabili- ties for uncertainties in fatigue analysis like: • Variability of material properties (fracture toughness, material strength, etc.) • Uncertainties in usage of time and initial fatigue quality- Probabilistic fatigue load descriptors (time- or frequency - domain) • Stochastic damage evolution laws (crack growth, dam- age accumulation, parameter uncertainties) • Maintenance, inspection and testing uncertainties Method Overview Deterministic approaches are unable to take into account above uncertainties without leading to over-designed and cost-ineffective design solutions. The necessity of assess- ing and improving the robustness of a particular solution requires methods based on reliability analysis and design optimization with probabilistic models. optiSLang supplies the user with generally applicable and reliable methods: • Simulation-based global sensitivity analysis and robust- ness evaluation • Failure rate and lifetime distribution estimators • First-order reliability method and advanced Monte Carlo simulation procedures • Surrogate model builder • Efficient optimization strategies (adaptive response sur- face, evolutionary algorithms) suitable for fatigue reli- ability problems Adaptive response surface for estimating the probability of exceeding nominal lifetime Typical industrial application: reliability analysis of a pinion shaft to ensure the nominal lifetime T
  • 2. © Dynardo GmbH • Dynamic Software and Engineering Steubenstraße 25 • 99423 Weimar • phone +49 (0)3643 900830 • contact@dynardo.de • www.dynardo.de Application Example Project goal: A typical application case is the robust de- sign optimization of an automotive fan shroud. Primary goal of the project was to effect significant weight sav- ings under fatigue constraints. As reference, the best en- gineering design solution so far was taken. The shroud was modeled with ANSYS DesignModeler. Design criteria were evaluated utilizing ANSYS non-linear static analysis. The fatigue requirements of the molded shroud were for- mulated in terms of plastic stresses and strains. Optimization: For optimization, a set of 94 CAD parame- ters were chosen as design variables. Performing a global sensitivity analysis using 100 latin hypercube samples, six input parameters have been selected as being either most effective in weight savings or most sensitive to fatigue re- quirements. For this reduced set, a weight saving of 13% was achieved with optiSLang’s adaptive response surface method after only 50 design evaluations. The weight was further reduced to 15% by utilizing optiSLang’s evolution- ary algorithm with 100 additional design evaluations. Robustness: The optimized design solution was assessed in terms of robustness. Since the molding process causes thickness as well as material uncertainties, we modeled 61 CAD tolerances and material values as random vari- ates. Using 70 latin hypercube samples, the 3-sigma val- ues of the maximum strains and stresses were checked and the critical tolerances were identified. After a satis- fying step with small design modifications, the 3-sigma robustness was reached. Project result: With optiSLang’s optimization and robust- ness algorithms, the weight of the fan shroud was re- duced by 15% with warranted robustness. Today, the fan shroud is in production and has proven its successfulness. The amount of weight savings was a positive surprise to the design department and shows the high potential of CAE-based robust design optimization. Finite element mesh of initial layout of automotive fan shroud Identification of design details affecting most fatigue lifetime Key Issues Addressed optiSLang’s combination of robustness evaluation and optimization procedures allows the user to gain reliable understanding of the fatigue performance of virtual products by addressing key issues like: • Which environmental conditions induce the largest fa- tigue damage? • To what degree does resistance model uncertainty influ- ence fatigue life? • To what degree does load uncertainty (amplitude, num- ber of cycles, extreme events, etc.) influence fatigue life? • Which components/details dominate fatigue life time? • How to make a design robust against uncertainties? • Which parameters or parameter uncertainties need further investigation? • How to maintain and inspect most cost-efficiently?