A new twist of the method of successive approximations to yield closed-form solutions for inhomogeneous vibrating beams by integral method

Authors

• I. Elishakoff, Florida Atlantic University
• M. Baruch, Technion - Israel Institute of Technology
• R. Becquet, Laboratoire de Recherches et Applications en Mecanique Avancée

Author Type

Faculty

Co-Author Type 1

Outside Researcher

Co-Author Type 2

Outside Researcher

Co-Author Type 3

Outside Researcher

College

Engineering and Computer Science

Department

Ocean and Mechanical Engineering

Document Type

Conference Proceeding

Publication/Event/Conference Title

Meccanica

Publication Status

Version of Record

Abstract

The finite element method for stochastically inhomogeneous structures is now under active development. Very often the conventional finite element is used in conjunction with the Monte Carlo method. It appears imperative, therefore, to have benchmark solutions for the deterministic problems. This paper is devoted to fill the gap. The old (but not obsolete) method of successive approximations is newly interpreted to yield closed-form solution for vibrating beams.

First Page

143

Last Page

166

DOI

10.1023/A:1019635219035

Publication Date

10-1-2002

Recommended Citation

Elishakoff, I.; Baruch, M.; and Becquet, R., "A new twist of the method of successive approximations to yield closed-form solutions for inhomogeneous vibrating beams by integral method" (2002). Faculty Scholarship. 447.
https://digitalcommons.fau.edu/faculty_papers/447