Probabilistic Structural Analysis Methods and Applications

Cruse, T. A.; Wu, Y.-T.; Dias, Bruno H.; Rajagopal, K. R.

doi:10.1016/b978-0-08-037197-9.50021-8

Cited by 5 publications

(5 citation statements)

References 6 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The AMV method is computationally efficient since it requires only a single linearization of the performance function at the mean value and an additional function evaluation at each CDF level (discretized f range at values f i ). It is also very accurate as repeatedly demonstrated in the literature [32][33][34]. Note that the MPPL-based CFD generation concept has been reported before, but is was based on a less efficient MPP determining procedure [35].…”

Section: Generating Distributions Using the Advancedmentioning

confidence: 65%

Design Optimization of Hierarchically Decomposed Multilevel Systems Under Uncertainty

Kokkolaras

Mourelatos

Papalambros

2004

Volume 1: 30th Design Automation Conference

View full text Add to dashboard Cite

This paper presents a methodology for design optimization of decomposed systems in the presence of uncertainties. We extend the analytical target cascading (ATC) formulation to probabilistic design by treating stochastic quantities as random variables and parameters and posing reliability-based design constraints. We model the propagation of uncertainty throughout the multilevel hierarchy of elements that comprise the decomposed system by using the advanced mean value (AMV) method to generate the required probability distributions of nonlinear responses. We utilize appropriate metamodeling techniques for simulation-based design problems. A simple yet illustrative hierarchical bi-level engine design problem is used to demonstrate the proposed methodology.

show abstract

Section: Generating Distributions Using the Advancedmentioning

confidence: 65%

Design Optimization of Hierarchically Decomposed Multilevel Systems Under Uncertainty

Kokkolaras

Mourelatos

Papalambros

2004

Volume 1: 30th Design Automation Conference

View full text Add to dashboard Cite

show abstract

“…The advanced mean value (AMV) method [4,5] combines the information from the mean value first-order (MVFO) step and one additional deterministic analysis to obtain a substantially improved reliability estimate. Several more sophisticated reliability-analysis techniques have been developed to overcome the difficulty of FORM.…”

confidence: 99%

“….15 is used to calculate the motor torque T. For this particular example, the advanced mean value method (AMV) [4,5] estimated the system reliability accurately and efficiently. Figure 38.6 shows the calculated cumulative distribution If the estimated reliability is not satisfactory, a reliability-based design optimization (RBDO) [43][44][45][46] algorithm can be used to change the mean values of the six random variables so that the reliability requirement is met.…”

Section: Glass Guidance Design Reliabilitymentioning

confidence: 99%

Probabilistic Analysis and Design in Automotive Industry

Mourelatos¹,

Tu²,

Ding³

2004

Engineering Design Reliability Handbook

View full text Add to dashboard Cite

Delivering reliable, high-quality products at low cost has become the key to survival in today's global economy. The presence of uncertainty in the analysis and design of engineering systems has always been recognized. Traditional deterministic analysis accounts for these uncertainties through the use of empirical safety factors. These safety factors are derived from past experience and do not provide quantifiable measures of the frequency at which failure will occur.Engineering design usually involves a trade-off between maximizing reliability at the component or system level while achieving cost targets. In contrast to the traditional deterministic design, probabilistic analysis provides the required information for optimum design and accomplishes both goals simultaneously. In the automotive industry, quality products are vehicles whose specifications, as manufactured, meet customer requirements. Given the uncertainties in loads, materials, and manufacturing, modern methods of reliability analysis should be used to ensure automotive quality in terms of reliability measures.In large-scale systems, often encountered in the automotive and aerospace industries among others, reliability predictions based on expensive full-scale tests are not economically feasible. Efficient computational methods represent a far better alternative. The first requirement of a computational reliability analysis is to develop a quantitative model of the behavior of interest. Subsequently, the statistical behavior is defined for all random variables involved in the limit-state function that separates the failure and the Zissimos P. Mourelatos

show abstract

“…The effects of load uncertainties have been object of several investigations on the literature (Cruse et al, 1988) and it remains an active research field (Soize, 2013). There is a classic strategy for considering random loads valid when all input parameters are deterministic except loads.…”

Section: Introductionmentioning

confidence: 99%

Probabilistic mechanical modelling of concrete creep based on the boundary element method

Oliveira

Chateauneuf

Leonel

2018

Advances in Structural Engineering

View full text Add to dashboard Cite

The prediction of the future structural behaviour is an essential activity during the design phase. In this study, a novel numerical framework is proposed for investigating the future structural behaviour of two-dimensional structures. The model utilizes the boundary element method for obtaining the mechanical responses. The constitutive material is admitted to manifest viscoelastic response, which enables it to creep. The input parameters such as material, loads parameters and geometry dimensions are considered to possess random characteristics. A probabilistic criterion is proposed using metamodelling by the response surface method. All these features make the proposed numerical model more realistic. As an application, a specific structure is utilized, which is inspired from the real world. The results demonstrate that small geometric deviations do not necessarily impact the global reliability of the structure. At the same time, load estimations have major influence on the global structural reliability. The numerical framework proposed can be utilized for preliminary investigations on the design phase in order to aid the engineers into the decision-making process. Moreover, these observations demonstrate that the boundary element method can be efficiently coupled to other numerical strategies in order to elaborate new robust numerical frameworks able to represent realistically engineering problems.

show abstract

Probabilistic Structural Analysis Methods and Applications

Cited by 5 publications

References 6 publications

Design Optimization of Hierarchically Decomposed Multilevel Systems Under Uncertainty

Design Optimization of Hierarchically Decomposed Multilevel Systems Under Uncertainty

Probabilistic Analysis and Design in Automotive Industry

Probabilistic mechanical modelling of concrete creep based on the boundary element method

Contact Info

Product

Resources

About