Contrasting three alternative versions of Timoshenko-Ehrenfest theory for beam on Winkler elastic foundation – simply supported beam

Authors

• Isaac Elishakoff, Florida Atlantic University
• Giulio Maria Tonzani, Alma Mater Studiorum Università di Bologna
• Nicolò Zaza, Florida Atlantic University
• Alessandro Marzani, Alma Mater Studiorum Università di Bologna

Author Type

Faculty

Co-Author Type 1

Outside Researcher

Co-Author Type 2

Faculty

Co-Author Type 3

Outside Researcher

College

Engineering and Computer Science

Department

Ocean and Mechanical Engineering

Document Type

Article

Publication/Event/Conference Title

ZAMM Zeitschrift Fur Angewandte Mathematik Und Mechanik

Publication Status

Version of Record

Abstract

In this paper the free vibration frequencies of beam on one-parameter (Winkler) elastic foundation are analyzed via original Timoshenko-Ehrenfest theory as well as two truncated versions of the Timoshenko-Ehrenfest beam theory. The traditional version of Timoshenko-Ehrenfest beam theory is contrasted with the truncated version that lacks the fourth-order time derivative, as well as with the recently developed version that incorporates slope inertia effect. Advantages and disadvantages of each approach are indicated in the context of free vibrations of the beam on Winkler foundation. In addition an intriguing intermingling phenomenon is discussed in detail, and its implications on three theories.

First Page

1334

Last Page

1368

DOI

10.1002/zamm.201700019

Publication Date

8-1-2018

Recommended Citation

Elishakoff, Isaac; Tonzani, Giulio Maria; Zaza, Nicolò; and Marzani, Alessandro, "Contrasting three alternative versions of Timoshenko-Ehrenfest theory for beam on Winkler elastic foundation – simply supported beam" (2018). Faculty Scholarship. 270.
https://digitalcommons.fau.edu/faculty_papers/270