Free Vibration Analysis of Functionally Graded Piezoelectric Material Beam by a Modified Mesh Free Method

Publish Year: 1398
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:

JR_JSMA-11-1_010

تاریخ نمایه سازی: 12 اسفند 1398

Abstract:

A mesh-free method based on moving least squares approximation (MLS)  and weak form of governing equations including two dimensional equations of motion and Maxwell’s equation is used to analyze the free vibration of functionally graded piezoelectric material (FGPM) beams. Material properties in beam are determined using a power law distribution. Essential boundary conditions are imposed by the transformation method. The mesh-free method is verified by comparison with a finite element method (FEM) which performed for FGPM beams. Comparisons showed that this model has a good accuracy. After validation of the presented model, a parametric study was carried out to investigate the effect of mechanical and electrical boundary conditions, slenderness ratio and distribution of constituent materials on natural frequencies of FGPM beams. It is concluded that slenderness   ratio has more significant effect on lower frequencies. On the other hand higher frequencies are affected by the volume fraction power index much more than lower frequencies.

Keywords:

Mesh-free method , Functionally graded piezoelectric beam , Free vibration , MLS shape function

Authors

M Foroutan

Department of Mechanical Engineering, Razi University, Kermanshah, Iran

Sh Sharafi

Department of Mechanical Engineering, Razi University, Kermanshah, Iran

S Mohammadi

Department of Mechanical Engineering, Razi University, Kermanshah, Iran

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