Inextensible Beam and Plate Theory: Computational Analysis and Comparison With Experiment-Reference-Cited by-同舟云学术

Inextensible Beam and Plate Theory: Computational Analysis and Comparison With Experiment

Published:2014-02-28 Issue:6 Volume:81 Page:
ISSN:0021-8936
Container-title:Journal of Applied Mechanics
language:en
Short-container-title:

Author:

Tang Deman¹,Zhao Minghui²³,Dowell Earl H.⁴

Affiliation:

1. Research Scientist Department of Mechanical Engineering and Materials Science, Duke University, Box 90300, Hudson Hall, Durham, NC 27708-0300 e-mail:

2. Bejing University of Technology, Beijing 100124, China;

3. Visiting Scholar Duke University, Durham, NC 27708 e-mail:

4. William Holland Hall Professor Department of Mechanical Engineering and Materials Science, Box 90300, Hudson Hall, Durham, NC 27708-0300 e-mail:

Abstract

A new inextensible theory of beam and plate deformation has been developed. For validation of this inextensible beam and plate theory, computational codes for the static and dynamic nonlinear beam and plate modal equations have been developed. The computations and experiments for static loading and deformation of a beam show that the inextensible theory produces results in excellent agreement with experiment. Also, a comparison of the inextensible theory for a plate with a static experiment is encouraging. Finally, a numerical study of dynamic deflection for an inextensible beam and plate has also been made. The results show a hysteresis dynamic response that depends on whether the excitation frequency is increasing or decreasing for the stiffness nonlinearity only or for the inertia nonlinearity only. The inertia nonlinear force has a significant effect on the dynamic response in the resonant frequency range.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Link

http://asmedigitalcollection.asme.org/appliedmechanics/article-pdf/doi/10.1115/1.4026800/6079309/jam_081_06_061009.pdf

Reference10 articles.

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3. Exact Equations for the Large Inextensional Motion of Plates;ASME J. Appl. Mech.,1981

4. Numerical Solution to an Inextensible Plate Theory With Experimental Results;ASME J. Appl. Mech.,1986

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