Authors: Mehdi Modares; Joshua Bergerson
Addresses: Department of Civil, Architectural and Environmental Engineering, Illinois Institute of Technology, Chicago, IL, 60616, USA ' Department of Civil, Architectural and Environmental Engineering, Illinois Institute of Technology, Chicago, IL, 60616, USA
Abstract: Two new methods for finite element based frequency analysis of a structure with uncertainty are developed. An imprecise probability formulation based on enveloping p-boxes is used to quantify the uncertainty present in the mechanical characteristics of the structure. For each element, independent variations are considered. Using the two developed methods, P-box Frequency Analysis (PFA) and Interval Monte-Carlo Frequency Analysis (IMFA), sharp bounds on natural circular frequencies at different probability levels are obtained. These methods establish a framework for handling incomplete information in structural dynamics. Numerical example problems are presented that illustrate the capabilities of the new methods along with discussions on their computational efficiency.
Keywords: structural dynamics; uncertainty; imprecise probability; p-box; interval Monte-Carlo; frequency analysis; uncertain structures; finite element analysis; FEA.
International Journal of Reliability and Safety, 2015 Vol.9 No.4, pp.235 - 254
Accepted: 09 Mar 2015
Published online: 19 Nov 2015 *