Beam element with spatial variation of material properties for multiphysics analysis of functionally graded materials

Kutiš, Vladimı́r; Muŕın, Just́ın; Belák, R.; Paulech, Juraj

doi:10.1016/j.compstruc.2010.10.012

Cited by 46 publications

(30 citation statements)

References 20 publications

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“…The results have been found in good agreement with the reference solutions for various electrical and mechanical constrained conditions. In [19], Kutiŝ et al compared two methods of homogenization for the electro-thermal-structural analysis of FG beams, namely the multilayering and direct integration method.…”

Section: Introductionmentioning

confidence: 99%

Static analyses of FGM beams by various theories and finite elements

Filippi

Carrera

Zenkour

2015

Composites Part B: Engineering

136

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Section: Introductionmentioning

confidence: 99%

Static analyses of FGM beams by various theories and finite elements

Filippi

Carrera

Zenkour

2015

Composites Part B: Engineering

136

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“…In order to derive individual submatrices of the beam element with piezoelectric layers and FGM core, two steps in homogenization process have to be performed. At first, homogenization of material properties of FGM core have to be performed, where direct integration method is used [6]. In the next step, homogenization of piezoelectric layers and homogenized FGM core (from step one) is performed.…”

Section: Fem Equations Of Fgm Beam With Piezoelectric Layersmentioning

confidence: 99%

“…The calculation of components is identical for classical multilayer or FGM beam without piezoelectric layer and is described in [6]. Mass matrix M e uu can be calculated numerically using classical shape functions and homogenized density of FGM beam with piezoelectric layers according equation (26).…”

Section: Equations For Structural Analysismentioning

confidence: 99%

See 1 more Smart Citation

Finite Beam Element With Piezoelectric Layers and Functionally Graded Material of Core

Kutiš¹,

Muŕın²,

Paulech³

et al. 2016

Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS Congress 2016)

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Abstract. New smart materials have been developed in material science, that are suitable for mechatronic applications. Modern mechatronic systems are focusing on minimizing size, active control and low energy consumption. All this attributes can be incorporated into term Micro Electro Mechanical Systems (MEMS). To improve performance of MEMS system, new materials and technologies are developed -one of them, which found broad application usage is Functionally graded material (FGM). MEMS application usually contains multilayer structure and in some application class MEMS systems contain piezoelectric layers. Piezoelectric structures offer facilities to make motions. Piezoelectric layers can be also used to damp vibrations as an active damping or as an active sensor. For better understanding these multiphysical problems new mathematical models are developed. The paper deals with finite beam element with piezoelectric layers and functionally graded material of core. In the paper homogenization of FGM material properties and homogenization of core and piezoelectric layers is presented. In the process of homogenization direct integration method and multilayer method is used. There is also presented the derivation of individual submatrices of local stiffness and mass matrix, where concept of transfer constants is used. Functionality of new FGM finite beam with piezoelectric layers is presented by numerical experiments.

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“…At our department, the material homogenization methods were derived for functionally graded material (FGM) [10][11][12]. These homogenization techniques (with some modifications) can also be used for homogenization of the ACSR conductors.…”

Section: Homogenization Of Materials Propertiesmentioning

confidence: 99%

Dynamic Analysis of Overhead Power Lines after Ice–Shedding Using Finite Element Method

Muŕın

Hrabovský

Gogola

et al. 2016

Journal of Electrical Engineering

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In this paper, the analysis of ice-shedding from ACSR conductors to its swing up height and vibration using Finite Element Method (FEM) is presented. For the numerical simulations the effective material properties of the ACSR conductor are calculated using the homogenisation method. Numerical analysis concerning vibration of one and triple-bundle conductors with icing for a whole range or on their certain parts are performed. The impact of ice-shedding to the mechanical tension in the conductors at the points of attachment is investigated and evaluated. Identification of the impact of ice-shedding from the ACSR conductors on its mechanical state may contribute to increasing the safety and quality of an electrical transmission system.

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Beam element with spatial variation of material properties for multiphysics analysis of functionally graded materials

Cited by 46 publications

References 20 publications

Static analyses of FGM beams by various theories and finite elements

Static analyses of FGM beams by various theories and finite elements

Finite Beam Element With Piezoelectric Layers and Functionally Graded Material of Core

Dynamic Analysis of Overhead Power Lines after Ice–Shedding Using Finite Element Method

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