Published in: فصلنامه مکانیک جامد، دوره: 11، شماره: 1
COI code: JR_JSMA-11-1_010
Paper Language: English
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Authors Free Vibration Analysis of Functionally Graded Piezoelectric Material Beam by a Modified Mesh Free MethodM 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
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
COI code: JR_JSMA-11-1_010
how to cite to this paper:If you want to refer to this article in your research, you can easily use the following in the resources and references section:
Foroutan, M; Sh Sharafi & S Mohammadi, 2019, Free Vibration Analysis of Functionally Graded Piezoelectric Material Beam by a Modified Mesh Free Method, Journal of Solid Mechanics 11 (1), https://www.civilica.com/Paper-JR_JSMA-JR_JSMA-11-1_010.htmlInside the text, wherever referred to or an achievement of this article is mentioned, after mentioning the article, inside the parental, the following specifications are written.
First Time: (Foroutan, M; Sh Sharafi & S Mohammadi, 2019)
Second and more: (Foroutan; Sharafi & Mohammadi, 2019)
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The University/Research Center Information:
Type: state university
Paper No.: 7854
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