Finite element analysis of flexible multibody systems with fuzzy parameters

Wasfy, Tamer M.; Noor, Ahmed K.

doi:10.1016/s0045-7825(97)00297-1

Cited by 32 publications

(7 citation statements)

References 19 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In [18] a flexible MBS using finite elements in a co-rotational frame is analyzed and computed using the vertex method, which has been introduced by Dong and Shah [19]. This method, however, is only applicable under certain monotonicity assumptions.…”

Section: Fuzzy Arithmetic -The Transformation Methodsmentioning

confidence: 99%

Fuzzy Arithmetical Analysis of Multibody Systems with Uncertainties

Walz¹,

Hanss²

2013

Archive of Mechanical Engineering

View full text Add to dashboard Cite

The consideration of uncertainties in numerical simulation is generally reasonable and is often indicated in order to provide reliable results, and thus is gaining attraction in various fields of simulation technology. However, in multibody system analysis uncertainties have only been accounted for quite sporadically compared to other areas.The term uncertainties is frequently associated with those of random nature, i.e. aleatory uncertainties, which are successfully handled by the use of probability theory. Actually, a considerable proportion of uncertainties incorporated into dynamical systems, in general, or multibody systems, in particular, is attributed to so-called epistemic uncertainties, which include, amongst others, uncertainties due to a lack of knowledge, due to subjectivity in numerical implementation, and due to simplification or idealization. Hence, for the modeling of epistemic uncertainties in multibody systems an appropriate theory is required, which still remains a challenging topic. Against this background, a methodology will be presented which allows for the inclusion of epistemic uncertainties in modeling and analysis of multibody systems. This approach is based on fuzzy arithmetic, a special field of fuzzy set theory, where the uncertain values of the model parameters are represented by socalled fuzzy numbers, reflecting in a rather intuitive and plausible way the blurred range of possible parameter values. As a result of this advanced modeling technique, more comprehensive system models can be derived which outperform the conventional, crisp-parameterized models by providing simulation results that reflect both the system dynamics and the effect of the uncertainties.The methodology is illustrated by an exemplary application of multibody dynamics which reveals that advanced modeling and simulation techniques using some well-thought-out inclusion of the presumably limiting uncertainties can provide significant additional benefit.

show abstract

Section: Fuzzy Arithmetic -The Transformation Methodsmentioning

confidence: 99%

Fuzzy Arithmetical Analysis of Multibody Systems with Uncertainties

Walz¹,

Hanss²

2013

Archive of Mechanical Engineering

View full text Add to dashboard Cite

show abstract

“…Correspondingly, Chen and Rao [5] investigate the dynamic response of linear stochastic structures under random excitation using orthogonal expansion method. Based on fuzzy model, Wasfy and Noor [6] use the fuzzy finite element method for predicting the dynamic response and evaluating the sensitivity coefficients of flexible multibody systems with fuzzy parameters. And Chen and Rao [7] investigate the use of the fuzzy finite element method to handle the vibration analysis of imprecisely defined systems.…”

Section: Introductionmentioning

confidence: 99%

The exact extreme response and the confidence extreme response analysis of structures subjected to uncertain-but-bounded excitations

Han

Yang

et al. 2020

Applied Mathematical Modelling

View full text Add to dashboard Cite

“…The Interval FE (IFE) analysis is based on the interval concept for the description of nondeterministic model properties, and so far has been studied only on an academic level [4,5,6]. The Fuzzy FE (FFE) analysis is basically an extension of the IFE analysis, and has been studied in a number of specific research domains: static structural analysis [7,8], dynamic analysis [9,10,11], geotechnical engineering [12,13,14], multi-body kinematics [15], steady-state analysis of rolling [16] and analysis of smart structures [17]. Recently, Rao et al [18] used a procedure similar to FFEM to derive a fuzzy boundary element method.…”

Section: Introductionmentioning

confidence: 99%

A survey of non-probabilistic uncertainty treatment in finite element analysis

Moens

Vandepitte

2005

Computer Methods in Applied Mechanics and Engineering

298

105

View full text Add to dashboard Cite

The objective of this paper is to critically review the emerging non-probabilistic approaches for uncertainty treatment in finite element analysis. The paper discusses general theoretical and practical aspects of both the interval and fuzzy finite element analysis. First, the applicability of the non-probabilistic concepts for numerical uncertainty analysis is discussed from a theoretical viewpoint. The necessary conditions for a useful application of the non-probabilistic concepts are determined, and are proven to be complementary rather than competitive to the classical probabilistic approach. The second part of the paper focuses on numerical aspects of the interval finite element method. It describes two principal strategies for the implementation, i.e. the anti-optimisation and the interval arithmetic approach, and gives a state-of-the-art of the interval finite element algorithms available from literature. It is shown how the application of the interval arithmetic approach to the classical finite element procedure can result in a severe overestimation of the uncertainty on the output, and the main sources of this conservatism are identified. A numerical example in the final part of the paper illustrates the capabilities of the different strategies on an eigenfrequency analysis of a built-up benchmark structure.

show abstract

Finite element analysis of flexible multibody systems with fuzzy parameters

Cited by 32 publications

References 19 publications

Fuzzy Arithmetical Analysis of Multibody Systems with Uncertainties

Fuzzy Arithmetical Analysis of Multibody Systems with Uncertainties

The exact extreme response and the confidence extreme response analysis of structures subjected to uncertain-but-bounded excitations

A survey of non-probabilistic uncertainty treatment in finite element analysis

Contact Info

Product

Resources

About