Abstract: This paper presents a nontraditional uncertainty treatment for mechanics problems. Uncertainties are introduced as bounded possible values (intervals). Interval finite-element methods, developed by the authors, are used ...

Abstract: In this paper, a new treatment of load uncertainties in structural problems based on fuzzy set theory is introduced. A fuzzy finite-element method (FFEM) for treating uncertain loads in static structural problems is ...

Abstract: This paper describes the interval boundary element method treatment of the pointwise discretization error for systems with geometrically generated flux singularities. Worst-case interval bounds are provided for the local ...

Abstract: Interval treatments of uncertainty are plagued by dependency issues in their implementation. Ignoring the dependency among interval values can lead to a significant overestimation of the bounds on calculated uncertain ...

Abstract: This paper presents a new approach for the treatment of parameter uncertainty for linear static structural mechanics problems. Parameter uncertainties are introduced as interval numbers. Interval arithmetic is applied to ...

Abstract: Frequency analysis of a structural system with bounded uncertainty is presented. An interval (set-theoretic) formulation is used to quantify the uncertainty present in the structure’s parameters such as material properties. ...

Abstract: A new approach for achieving guaranteed reliable results within the context of finite-element approximation of mechanical systems is developed. A reliable analysis requires that all the sources of uncertainty and errors ...