scholarly journals An application of isogeometric analysis for active control the solid functionally graded material plates with actuator patches using piezoelectric material

2020 ◽  
Vol 2 (SI2) ◽  
pp. First
Author(s):  
Khuong Duy Nguyen ◽  
Nguyen Manh Tien ◽  
Nguyen Xuan Hung ◽  
Vu Cong Hoa
Keyword(s):  
Piezoelectric Material ◽  
Active Control ◽  
Functionally Graded Material ◽  
Isogeometric Analysis ◽  
Piezoelectric Materials ◽  
Middle Layer ◽  
Basic Function ◽  
Functionally Graded ◽  
Three Dimensional Model ◽  
Graded Material

This paper applies isogeometric analysis (IGA) to simulate active control of the functionally graded material (FGM) plates by using piezoelectric material patches. This control helps to reduce the deflection of the plate under the effect of static load, which makes the structure more resistant to loading. IGA is built on the non-uniform rational basis spline (NURBS) basic function with many advantages such as: describing geometry exactly by approximating by higher order function and directly using this function to approach procedure. Furthermore, NURBS geometry has mesh flexibility and high continuity between elements, making the problem highly accurate. Three-dimensional model for plate-like structure consists of upper and lower layers made of piezoelectric materials, the middle layer is FGM. The obtained results will be verified with the published results to prove the efficiency of the proposed method for this problem. Through the obtained results, it is shown that IGA is used effectively for the active control problem by piezoelectric patches to reduce the displacement of FGM plates. The efficiency shown when using a small number of degrees of freedom but still ensuring the solution has accurate results when compared with the reference solution.

Response analysis of hybrid functionally graded material plate subjected to thermo-electro-mechanical loading

2020 ◽  
pp. 146442072098003
Author(s):  
Pawan Kumar ◽  
SP Harsha
Keyword(s):  
Free Vibration ◽  
Natural Frequency ◽  
Piezoelectric Material ◽  
Functionally Graded Material ◽  
Axial Stress ◽  
Functionally Graded ◽  
Response Analysis ◽  
Functionally Graded Piezoelectric Material ◽  
Graded Material ◽  
Functionally Graded Piezoelectric

Static and free vibration response analysis of a functionally graded piezoelectric material plate under thermal, electric, and mechanical loads is done in this study. The displacement field is acquired using the first-order shear deformation theory, and the Hamilton principle is applied to deduce the motion equations. Temperature-dependent material properties of the functionally graded material plate are used, and these properties follow the power-law distributions along the thickness direction. However, the properties of piezoelectric material layers are assumed to be independent of the electric field and temperature. Finite element formulation for the functionally graded piezoelectric material plate is done using the combined effect of mechanical and electrical loads. The effects of parameters like electrical loading, volume fraction exponent N, and temperature distribution on the static and free vibration characteristics of the functionally graded piezoelectric material square plate are analyzed and presented. Responses are obtained in terms of the centerline deflection, axial stress and the nondimensional natural frequency with various boundary conditions. It is observed that the centerline deflection and nondimensional natural frequency increases as exponent N increases. At the same time, the axial stress decreases with an increase in exponent N. The findings of the static and the free vibration analysis suggest the potential application of the functionally graded piezoelectric material plate in the piezoelectric actuator as well as for sensing deflection in bimorph.

scholarly journals Vibrations of Three-Layered Cylindrical Shells with FGM Middle Layer Resting on Winkler and Pasternak Foundations

2012 ◽  
Vol 2012 ◽  
pp. 1-11 ◽  
Author(s):  
Abdul Ghafar Shah ◽  
Aalia Ali ◽  
Muhmmad Nawaz Naeem ◽  
Shahid Hussain Arshad
Keyword(s):  
Cylindrical Shell ◽  
Wave Propagation ◽  
Functionally Graded Material ◽  
Middle Layer ◽  
Functionally Graded ◽  
Numerical Results ◽  
Thickness Direction ◽  
Dynamical Equations ◽  
Elastic Foundations ◽  
Graded Material

Vibrations of a cylindrical shell composed of three layers of different materials resting on elastic foundations are studied out. This configuration is formed by three layers of material in thickness direction where the inner and outer layers are of isotropic materials and the middle is of functionally graded material. Love shell dynamical equations are considered to describe the vibration problem. The expressions for moduli of the Winkler and Pasternak foundations are combined with the shell dynamical equations. The wave propagation approach is used to solve the present shell problem. A number of comparisons of numerical results are performed to check the validity and accuracy of the present approach.

scholarly journals Shape control of hybrid functionally graded plate through smart application of piezoelectric material using simple plate theory

2021 ◽  
Vol 3 (2) ◽  
Author(s):  
K. M. Bajoria ◽  
S. A. Patare
Keyword(s):  
Mathematical Model ◽  
Analytical Solution ◽  
Boundary Conditions ◽  
Piezoelectric Material ◽  
Functionally Graded Material ◽  
Shape Control ◽  
Functionally Graded ◽  
Simple Mathematical Model ◽  
Graded Material ◽  
Flexural Analysis

AbstractThe present study takes its inspiration from notable work in the literature related to the flexural analysis of functionally graded material (FGM) plate along with a smart application of piezoelectric material but maintains its novelty in terms of simple approach, an analytical solution with a wide scope of application. Coupling the plate element with piezoelectric smart material can control deflection, vibration thereby increasing the safety, stability, and life of these elements. Plates made up of functionally graded material further enhances the applicability as two different materials are fused. Analysis of such a system is challenging especially for a closed form mathematical solution along with complex boundary conditions. In the present study, it is proposed to develop a simple analytical model for bending analysis of FGM plate coupled with piezoelectric layers. Polynomial based shear deformation function taken from literature is applied to develop a simple mathematical model. A complete flexural analysis is performed for FGM plate to validate the governing simple mathematical model. Through the smart application of piezoelectric material, the deflection of the FGM plate is controlled in as closed loop feedback system. Analytical solution valid over the entire plate domain is obtained incorporating fixed and simple support types of boundary conditions. The initial part of the study details complete mathematical formulation for the plate under consideration, followed by numerical validation in which results of the present model are compared with notable studies in the literature. Lastly, the smart application through shape control of the FGM plate is demonstrated graphically and numerically. The development and application of the discussed mathematical model presented in this study are complete in all aspects of its mathematical form, solution, and numerical validation.

scholarly journals Analyze thermo-mechanical problem by isogeometric analysis for structures used functionally graded material

2017 ◽  
Vol 20 (K3) ◽  
pp. 53-59
Author(s):  
Khuong Duy Nguyen ◽  
Tien Manh Nguyen ◽  
Chien Trung Vo ◽  
Hung Xuan Nguyen ◽  
Hoa Cong Vu
Keyword(s):  
Composite Material ◽  
Functionally Graded Material ◽  
Material Properties ◽  
Isogeometric Analysis ◽  
Functionally Graded ◽  
Basis Functions ◽  
Thickness Direction ◽  
Mechanical Problem ◽  
Advanced Composite ◽  
Graded Material

The objective of this paper is apply isogeometric analysis (IGA) to analyze thermoelastic behavior of functionally graded material (FGM) structures. IGA is built on NURBS basis functions used to model exact geometries with higher-order approached functions. The FGM is a type of advanced composite material has material properties is continuous distributed variation through thickness direction. The results are verified with other numerical results and results from COMSOL commercial software.

scholarly journals Analyse the behavior of the functionally graded material plate structures with piezoelectric patches by using isogeometric analysis

2020 ◽  
Vol 2 (SI2) ◽  
pp. First
Author(s):  
Khuong Duy Nguyen ◽  
Nguyen Manh Tien ◽  
Nguyen Ba Dat ◽  
Vu Cong Hoa
Keyword(s):  
Functionally Graded Material ◽  
Isogeometric Analysis ◽  
Order Approximation ◽  
Spline Approximation ◽  
Functionally Graded ◽  
High Order ◽  
Computational Time ◽  
Plate Structures ◽  
Plate Structure ◽  
Graded Material

This article presents the use of isogeometric analysis (IGA) to analyse the behaviour of the functionally graded material (FGM) plate structures with piezoelectric patches. This study investigates the effect of piezoelectric patches on the plate structure made of FGM material as a solid model. Because IGA is based on the NURBS (Non-uniform rational basis spline) approximation, this method describes the exact geometry with the higher-order functions approach. The effectiveness of the present method is to use the few degrees of freedom combining a high-order approximation function between elements to ensure the accuracy of the result, which reduces the computational time and saves the required memory. In addition, NURBS geometry has also been shown to be a viable approach due to the flexibility in mesh construction such as refinement and high-order continuity that warranty correctly the results of the problem. Based on the advantages that IGA has been proved by many previous studies, we built a three-dimensional model for plate structure consisting of upper and lower layers with piezoelectric patches, middle layer with FGM material. The results are verified and compared to the commercial Comsol software to prove the effectiveness of the method for this problem.

Natural vibration of imperfect sandwich plates considering the effects of transverse stretching

2021 ◽  
pp. 107754632110131
Author(s):  
YX Hao ◽  
MX Wang ◽  
W Zhang ◽  
LT Liu ◽  
SW Yang
Keyword(s):  
Functionally Graded Material ◽  
Natural Vibration ◽  
Sandwich Plate ◽  
Natural Frequencies ◽  
Ritz Method ◽  
Three Dimensional ◽  
Core Layer ◽  
Functionally Graded ◽  
Three Dimensional Model ◽  
Graded Material

In this article, the natural vibration investigation of a functionally graded material sandwich plate with initial geometrical imperfection of the exponential function is conducted. Two face sheets of the sandwich plate are composited by functionally graded material. Their material coefficients are affected by temperature and vary in the direction of thickness following the power law. The core layer is only the metal. With the aid of Reddy’s displacement fields, a quasi-three-dimensional model is used, in which the effects of transverse stretching on natural vibration are considered. The natural frequencies and model shapes of the system are calculated on the basis of Rayleigh–Ritz method and Chebyshev polynomials. A comparison of these results with those of the existing three-dimensional theory results shows the validity and computability of present method. The influences of various parameters on the natural frequencies are researched in detail.

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