scholarly journals Free-vibration analysis of multi-directional functionally graded plates based on 3D isogeometric analysis

2019 ◽  
Vol 13 (2) ◽  
pp. 1-11
Author(s):  
Thai Son ◽  
Thai Huu-Tai
Keyword(s):  
Free Vibration ◽  
Isogeometric Analysis ◽  
Three Dimensional ◽  
Structural Response ◽  
Free Vibration Analysis ◽  
Functionally Graded ◽  
Functionally Graded Plates ◽  
Graded Materials ◽  
3D Elasticity ◽  
Three Dimensional Elasticity

In this paper, an efficient computational approach is developed to investigate the free-vibration behavior of functionally graded plates. The problem is developed based on a three-dimensional elasticity theory, which is expected to capture the structural response accurately. Isogeometric analysis is employed as a discretion tool to solve the problems. The accuracy of the proposed approach is verified by comparing the obtained results with those available in the literature. In addition, various examples are also presented to illustrate the efficiency of the proposed approach. There are five types of plates with different configurations of material gradations. The benchmark results for those are also given for future investigations. Keywords: multi-directional functionally graded materials; 3D elasticity; isogeometric analysis; free-vibration.

Static and Free Vibration Analysis of Structures Composed of Functionally Graded Material with Random Material Properties

2016 ◽  
Vol 857 ◽  
pp. 249-254
Author(s):  
Aswathy Komalan ◽  
Dhanya Krishnan
Keyword(s):  
Mechanical Properties ◽  
Free Vibration ◽  
Material Properties ◽  
Vibration Analysis ◽  
Structural Response ◽  
Free Vibration Analysis ◽  
Functionally Graded ◽  
Graded Materials ◽  
Graded Material ◽  
Random Material Properties

Functionally graded materials (FGMs) have mechanical properties that vary continuously from one phase to another within a confined volume. In general, these materials exhibit certain amount of scatter in their properties due to different factors. The dispersion in the response values of a structure is due to the scatter in the values of material properties and applied external load. For design purposes, it is essential to know the potential variations in the structural response due to the system material or external randomness. In the present work, free vibration and static analysis on FGM structures with material randomness are considered.

scholarly journals Functionally Graded Materials: An Overview of Stability, Buckling, and Free Vibration Analysis

2019 ◽  
Vol 2019 ◽  
pp. 1-18 ◽  
Author(s):  
Ning Zhang ◽  
Tahir Khan ◽  
Haomin Guo ◽  
Shaoshuai Shi ◽  
Wei Zhong ◽  
...  
Keyword(s):  
Free Vibration ◽  
Functionally Graded Materials ◽  
Vibration Analysis ◽  
Single Point ◽  
Free Vibration Analysis ◽  
Functionally Graded ◽  
Graded Materials ◽  
The Past ◽  
Future Work ◽  
Advanced Development

Functionally graded materials (FGMs) are novel materials whose properties change gradually with respect to their dimensions. It is the advanced development of formerly used composite materials and consists of two or more materials in order to achieve the desired properties according to the application where an FGM is used. FGMs have obtained a great attention of researchers in the past decade due to their graded properties at every single point in various dimensions. The properties of an FGM are not identical to the materials that constitute it. This paper aims to present an overview of the existing literature on stability, buckling, and free vibration analysis of FGM carried out by numerous authors in the past decade. Moreover, the analyses of mathematical models adopted for the aforementioned analyses are not the core purpose of this paper. At the end, future work is also suggested in this review paper.

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