A novel formulation leading to closed-form solutions for buckling of circular plates

Authors

• I. Elishakoff, Florida Atlantic University
• G. C. Ruta, Sapienza Università di Roma
• Y. Stavsky, Technion - Israel Institute of Technology

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

Article

Publication/Event/Conference Title

Acta Mechanica

Publication Status

Version of Record

Abstract

In this paper we study axisymmetric buckling of radially graded circular plates. The flexural rigidity is considered to be a suitably varying function of the radial coordinate. The problem is posed as a semi-inverse one. The buckling mode is selected first, then the variation of the flexural rigidity consistent with the buckling mode is determined. Apparently for the first time in the literature, closed-form solutions are found. Such solutions allow the design of a circular plate whose buckling load is at least the pre-specified one. Such a design appears to find much applications in various fields of engineering.

First Page

81

Last Page

88

DOI

10.1007/s00707-006-0347-2

Publication Date

8-1-2006

Recommended Citation

Elishakoff, I.; Ruta, G. C.; and Stavsky, Y., "A novel formulation leading to closed-form solutions for buckling of circular plates" (2006). Faculty Scholarship. 413.
https://digitalcommons.fau.edu/faculty_papers/413