A new approach to the identification of distortion modes of thin-walled structures based on plate/shell theory

Thumbnail Image

Files

matecconf_icbmm2018_03005.pdf (1.27 MB)

Links to Files

https://www.matec-conferences.org/articles/matecconf/abs/2019/27/matecconf_icbmm2018_03005/matecconf_icbmm2018_03005.html

Permanent Link

https://doi.org/10.1051/matecconf/201927803005
 http://hdl.handle.net/11603/13562

Collections

UMBC Mechanical Engineering Department
UMBC Faculty Collection

Author/Creator

Author/Creator ORCID

Date

2019-04-08

Type of Work

conference papers and proceedings
Text

Department

Program

Citation of Original Publication

Lei Zhang, Weidong Zhu, Aimin Ji and Liping Peng, A new approach to the identification of distortion modes of thin-walled structures based on plate/shell theory, MATEC Web Conf. Volume 278, 2019 , https://doi.org/10.1051/matecconf/201927803005

Rights

This item is likely protected under Title 17 of the U.S. Copyright Law. Unless on a Creative Commons license, for uses protected by Copyright Law, contact the copyright holder or the author.
Attribution 4.0 International (CC BY 4.0)

Subjects

thin-walled structures
plate/shell theory
cross-section in-plane vibration shapes

Abstract

In this paper, a new approach to identify cross-section deformation modes is presented and utilized in the establishment of a high-order beam model for dynamic analyses of thin-walled structures. Towards this end, a systematic procedure to extract cross-section in-plane vibration shapes for a thin-walled cross-section is developed based on elastic plate/shell theory. Then the distortion shapes are separated from vibration shapes by removing the components of classic modes involved with the minimum value problem of 2-norm. Sequentially, curve fitting method is utilized to approximate the distortion shape functions along the cross-section midline. It should be noticed that these distortion modes are arranged in hierarchy consistent with the order that they are identified and the number of distortions to be identified depends on the required model precision. Based on this, Hamilton's principle is applied to formulate the dynamic governing equations of the beam by constructing its displacement field with the linear superposition of the cross-section mode shapes including distortions. Numerical examples are also presented to validate the new approach and to demonstrate its efficiency in the reproduction of three-dimensional behaviours of thin-walled structures in dynamic analyses.