Reconstructing the Mass Distribution Function of a Two-Span Beam with an Overhang via the Fundamental Mode

Authors

• Li Hua Zhang, Anqing Normal University
• Min He, Anqing Normal University
• Qi Shen Wang, Anqing Normal University
• Isaac Elishakoff, Florida Atlantic University

Author Type

Outside Researcher

Co-Author Type 1

Outside Researcher

Co-Author Type 2

Outside Researcher

Co-Author Type 3

Faculty

College

Engineering and Computer Science

Department

Ocean and Mechanical Engineering

Document Type

Article

Publication/Event/Conference Title

International Journal of Structural Stability and Dynamics

Publication Status

Version of Record

Abstract

In this paper, we discuss the following inverse problem: how to reconstruct the mass distribution function of a two-span beam with an overhang via its polynomial fundamental mode and polynomial stiffness function. This leads to a basic equations group constituted by the coefficients of the mass distribution and the stiffness distribution function. To make the basic equations group match, one way is to divide it into two sub- equations, and solve them. We specify the method for solving this inverse problem, and research the existence and rationality of the positive solutions.

DOI

10.1142/S0219455420430117

Publication Date

12-1-2020

Recommended Citation

Zhang, Li Hua; He, Min; Wang, Qi Shen; and Elishakoff, Isaac, "Reconstructing the Mass Distribution Function of a Two-Span Beam with an Overhang via the Fundamental Mode" (2020). Faculty Scholarship. 233.
https://digitalcommons.fau.edu/faculty_papers/233