FREE VIBRATION ANALYSIS OF FUNCTIONALLY GRADED NANOCOMPOSITE BEAMS ON ELASTIC FOUNDATION USING A MESH-FREE METHOD

Authors

  • ALIREZA SAYYIDMOUSAVI MCGILL UNIVERSITY
  • MEHRDAD FOROUTAN RAZI UNIVERSITY
  • ZOUHEIR FAWAZ RYERSON UNIVERSITY

Keywords:

FUNCTIONALLY GRADED MATERIAL, CARBON NANOTUBES, VIBRATION, MESH-FREE METHOD, ELASTIC FOUNDATION

Abstract

THE USE OF CARBON NANOTUBES AS THE REINFORCING CONSTITUENT FOR POLYMER MATRIX COMPOSITES IN PLACE OF CONVENTIONAL FIBERS HAS LED TO THE EMERGENCE OF A NEW GENERATION OF ADVANCED COMPOSITE MATERIALS. IN THIS PAPER, THE FREE VIBRATION OF FUNCTIONALLY GRADED NANOCOMPOSITE BEAMS ON ELASTIC FOUNDATIONS ARE STUDIED. THREE DIFFERENT TYPES OF CARBON NANOTUBES DISTRIBUTIONS IN THE POLYMER MATRIX MATERIAL ARE STUDIED; UNIFORM DISTRIBUTION, SYMMETRICALLY FUNCTIONALLY GRADED DISTRIBUTION AND UNSYMMETRICALLY FUNCTIONALLY GRADED DISTRIBUTION. THE ANALYSIS IS CARRIED OUT BY A MESH-FREE METHOD USING THE TWO-DIMENSIONAL THEORY OF ELASTICITY. THE MOVING LEAST SQUARE SHAPE FUNCTIONS ARE IMPLEMENTED TO APPROXIMATE THE DISPLACEMENT FIELD. DUE TO THE ABSENCE OF THE KRONCKER DELTA PROPERTY OF THE SHAPE FUNCTIONS, A TRANSFORMATION TECHNIQUE IS USED TO APPLY THE ESSENTIAL BOUNDARY CONDITIONS. AFTER VALIDATION, THE EFFECTS OF DIFFERENT DESIGN PARAMETERS SUCH AS CARBON NANOTUBES DISTRIBUTION, SLENDERNESS RATIOS, BOUNDARY CONDITIONS AND FOUNDATION STIFFNESS ON THE VIBRATIONAL BEHAVIOUR OF THE STRUCTURE ARE INVESTIGATED. THE CURRENT APPROACH CAN SERVE AS A BENCHMARK AGAINST WHICH OTHER SEMI-ANALYTICAL AND NUMERICAL METHODS BASED ON CLASSICAL BEAM THEORIES CAN BE COMPARED.

Downloads

Published

2017-08-26

Issue

Vol. 14 No. 12 (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).