MODE SHAPE ANALYSIS OF MULTIPLE CRACKED FUNCTIONALLY GRADED TIMOSHENKO BEAMS

Authors

  • LIEN VAN TRAN NATIONAL UNIVERSITY OF CIVIL ENGINEERING
  • DUC TRONG NGO DESIGN CONSULTANT AND INVESTMENT OF CONSTRUCTION
  • KHIEM TIEN NGUYEN INSTITUTE OF MECHANICS, VIETNAM ACADEMY OF SCIENCE AND TECHNOLOGY

Keywords:

FGM, CRACKED TIMOSHENKO BEAM, MODAL ANALYSIS, MODE SHAPE.

Abstract

THE PRESENT PAPER ADDRESSES FREE VIBRATION OF MULTIPLE CRACKED TIMOSHENKO BEAMS MADE OF FUNCTIONALLY GRADED MATERIAL (FGM). CRACKS ARE MODELED BY ROTATIONAL SPRING OF STIFFNESS CALCULATED FROM THE CRACK DEPTH AND MATERIAL PROPERTIES VARY ACCORDING TO THE POWER LAW THROUGHOUT THE BEAM THICKNESS. GOVERNING EQUATIONS FOR FREE VIBRATION OF THE BEAM ARE FORMULATED WITH TAKING INTO ACCOUNT ACTUAL POSITION OF THE NEUTRAL PLANE. THE OBTAINED FREQUENCY EQUATION AND MODE SHAPES ARE USED FOR ANALYSIS OF THE BEAM MODE SHAPES IN DEPENDENCE ON THE MATERIAL AND CRACK PARAMETERS. NUMERICAL RESULTS VALIDATE USEFULNESS OF THE PROPOSED HEREIN THEORY AND SHOW THAT MODE SHAPES ARE GOOD INDICATION FOR DETECTING MULTIPLE CRACKS IN TIMOSHENKO FGM BEAMS.

Downloads

Published

2017-05-26

Issue

Vol. 14 No. 7 (2017)

Section

Articles

License

Authors who publish with this journal agree to the following terms:

 

  1. Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License [CC BY] that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
  2. Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
  3. Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).