FREE VIBRATION ANALYSIS OF REINFORCED COMPOSITE FUNCTIONALLY GRADED PLATES WITH STEADY STATE THERMAL CONDITIONS

Authors

  • MOHAMMAD NEJATI DEPARTMENT OF MECHANICAL ENGINEERING, RAZI UNIVERSITY, KERMANSHAH, IRAN HTTP://ORCID.ORG/0000-0003-3839-4984
  • KERAMAT MALEKZADEHFARD SPACE RESEARCH INSTITUTE , MALEK ASHTAR UNIVERSITY OF TECHNOLOGY, TEHRAN, IRAN.
  • AMIRHOSSEIN ESLAMPANAH YOUNG RESEARCHERS & ELITE CLUB, ARAK BRANCH, ISLAMIC AZAD UNIVERSITY, ARAK, IRAN
  • SEYED SAJAD JAFARI YOUNG RESEARCHERS & ELITE CLUB, HAME- DAN BRANCH, ISLAMIC AZAD UNIVERSITY, HAMEDAN, IRAN

Keywords:

THREE DIMENSIONAL DIFFERENTIAL QUADRATURE METHOD, FIBER REIN- FORCED PLATES, THERMAL VIBRATION, THERMAL LOAD, THREE DIMENSIONAL GENERAL.

Abstract

THE PRESENT PAPER DEALS WITH FREE VIBRATION OF FUNCTIONALLY GRADED FIBER REINFORCED RECTANGULAR PLATES SUBJECTED TO THERMAL LOADS. THE RECTANGULAR PLATES ARE ASSUMED ORTHOTROPIC. THE CONTINUOUS GRADING FIBER REINFORCED PLATES HAVE A SMOOTH VARIATION IN MATRIX VOLUME FRACTION IN THE THICKNESS DIRECTION. TWO DIFFERENT TYPES OF VOLUME FRACTION PROFILES THROUGH THE THICKNESS OF PLATE ARE PROPOSED: CLASSIC AND SYMMETRIC. AS THE PLATE IS THICK, THE EQUATIONS OF MOTION ARE DERIVED BASED ON THREE DIMENSIONAL THEORY OF ELASTICITY. INEVITABLY, 3D GENERAL DIFFERENTIAL QUADRATURE METHOD IS USED INSTEAD OF REGULAR SOLVING METHODS IN ORDER TO DISCRETIZE EQUATIONS OF MOTION EQUATIONS AS LINEAR SET OF ALGEBRAIC EQUATIONS. THE EFFECTS OF TEMPERATURE, VOLUME FRACTION PROFILES, AND BOUNDARY CONDITIONS ARE INVESTIGATED. SOME INTERESTING CONCLUSIONS OBTAINED WHEN THE MATERIAL PROPERTIES WERE ASSUMED TO BE TEMPERATURE-DEPENDENT. IT HAS BEEN OBSERVED THAT TEMPERATURE AND FUNCTIONALITY OF FG PLATE HAVE SIGNIFICANT EFFECT ON THE NATURAL FREQUENCIES OF THE PLATE.

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Published

2017-04-20

Issue

Vol. 14 No. 05 (2017)

Section

Articles

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