• Title/Summary/Keyword: 2D-FG

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Assessment of new 2D and quasi-3D nonlocal theories for free vibration analysis of size-dependent functionally graded (FG) nanoplates

  • Bendaho, Boudjema;Belabed, Zakaria;Bourada, Mohamed;Benatta, Mohamed Atif;Bourada, Fouad;Tounsi, Abdelouahed
    • Advances in nano research
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    • v.7 no.4
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    • pp.277-292
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    • 2019
  • In this present paper, a new two dimensional (2D) and quasi three dimensional (quasi-3D) nonlocal shear deformation theories are formulated for free vibration analysis of size-dependent functionally graded (FG) nanoplates. The developed theories is based on new description of displacement field which includes undetermined integral terms, the issues in using this new proposition are to reduce the number of unknowns and governing equations and exploring the effects of both thickness stretching and size-dependency on free vibration analysis of functionally graded (FG) nanoplates. The nonlocal elasticity theory of Eringen is adopted to study the size effects of FG nanoplates. Governing equations are derived from Hamilton's principle. By using Navier's method, analytical solutions for free vibration analysis are obtained through the results of eigenvalue problem. Several numerical examples are presented and compared with those predicted by other theories, to demonstrate the accuracy and efficiency of developed theories and to investigate the size effects on predicting fundamental frequencies of size-dependent functionally graded (FG) nanoplates.

Transient response of 2D functionally graded beam structure

  • Eltaher, Mohamed A.;Akbas, Seref D.
    • Structural Engineering and Mechanics
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    • v.75 no.3
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    • pp.357-367
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    • 2020
  • The objective of this article is investigation of dynamic response of thick multilayer functionally graded (FG) beam under generalized dynamic forces. The plane stress problem is exploited to describe the constitutive equation of thick FG beam to get realistic and accurate response. Applied dynamic forces are assumed to be sinusoidal harmonic, sinusoidal pulse or triangle in time domain and point load. Equations of motion of deep FG beam are derived based on the Hamilton principle from kinematic relations and constitutive equations of plane stress problem. The numerical finite element procedure is adopted to discretize the space domain of structure and transform partial differential equations of motion to ordinary differential equations in time domain. Numerical time integration method is used to solve the system of equations in time domain and find the time responses. Numerical parametric studies are performed to illustrate effects of force type, graduation parameter, geometrical and stacking sequence of layers on the time response of deep multilayer FG beams.

A FG-CPW Rat-race Diode Mixer for Wireless LAN Application (5.8 GHz 무선 LAN 대역의 FG-CPW Rat-race Diode Mixer)

  • 배중선;이종철;김종헌;이병제;김남영
    • Proceedings of the Korea Electromagnetic Engineering Society Conference
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    • 2000.11a
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    • pp.193-196
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    • 2000
  • 본 논문에서는 FG-CPW(Finite-Ground Coplanar Wave-Guide) 구조의 단일 평형 다이오드 믹서에 대해서 논의된다. 주파수 영역은 무선 LAN 대역으로 선택하였다. RF 신호는 5.725-5.875 GHz, LO 신호는 5.58GHz, 그리고 IF 신호는 140 MHz가 사용된다. 제시된 FG-CPW 구조의 LPF(low pass filter)는 회의크기를 줄일 수 있으며, 불필요한 하모닉 억제 특성이 우수하다. 5.635 GHz에서 5 dBm의 Power를 갖는 LO신호가 입력될 때 6.2 dB 의 혼합기의 변환손실을 얻는다. 또한 LO-RF isolation과 LO-IF isolation은 각각 30 dB $\Omega$dB 의 특성을 보인다. 이 혼합기는 CPW 구조가 일반적으로 알려진 밀리미터 대역에서의 장점뿐만 아니라 C-Band의 무선 LAN 분야에도 충분히 응용될 수 있으리라 기대된다.

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Nonlinear static analysis of functionally graded porous beams under thermal effect

  • Akbas, Seref D.
    • Coupled systems mechanics
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    • v.6 no.4
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    • pp.399-415
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    • 2017
  • This paper deals with the nonlinear static deflections of functionally graded (FG) porous under thermal effect. Material properties vary in both position-dependent and temperature-dependent. The considered nonlinear problem is solved by using Total Lagrangian finite element method within two-dimensional (2-D) continuum model in the Newton-Raphson iteration method. In numerical examples, the effects of material distribution, porosity parameters, temperature rising on the nonlinear large deflections of FG beams are presented and discussed with porosity effects. Also, the effects of the different porosity models on the FG beams are investigated in temperature rising.

Influence of pH, Emulsifier Concentration, and Homogenization Condition on the Production of Stable Oil-in-Water Emulsion Droplets Coated with Fish Gelatin

  • Surh, Jeong-Hee
    • Food Science and Biotechnology
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    • v.16 no.6
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    • pp.999-1005
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    • 2007
  • An oil-in-water (O/W) emulsion [20 wt% com oil, 0.5-6.0 wt% fish gelatin (FG), pH 3.0] was produced by high pressure homogenization, and the influence of pH, protein concentration, and homogenization condition on the formation of FG-stabilized emulsions was assessed by measuring particle size distribution, electrical charge, creaming stability, microstructure, and free FG concentration in the emulsions. Optical microscopy indicated that there were some large droplets ($d>10\;{\mu}m$) in all FG-emulsions, nevertheless, the amount of large droplets tended to decrease with increasing FG concentration. More than 90% of FG was present free in the continuous phase of the emulsions. To facilitate droplet disruption and prevent droplet coalescence within the homogenizer, homogenization time was adjusted in O/W emulsions stabilized by 2.0 or 4.0 wt% FG. However, the increase in the number of pass rather promoted droplet coalescence. This study has shown that the FG may have some limited use as a protein emulsifier in O/W emulsions.

A FG-CPW Single Balanced Diode Mixer for C-Band Application (C-Band 용 FG-CPW 단일 평형 다이오드 혼합기)

  • Bae, Joung-Sun;Lee, Jong-Chul;Kim, Jong-Heon;Lee, Byung-Je;Kim, Nam-Young
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.12 no.3
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    • pp.339-345
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    • 2001
  • In this paper, FG-CPW (Finite-Ground Coplanar Wave-Guide) balanced diode mixer is presented. Frequency bandwidth is selected for a C-band, which is 5.72~5.82 GHz for RF, 5.58~5.68 GHz for LO, and 140 MHz for IF signals. A rat-race hybrid is designed for the accomplishment of single balanced type. A low pass filter (LPF) with CPW structure is used far good conversion loss and unwanted harmonics suppression. When LO signal with the power of 4 dBm at 5.635 GHz is injected, a conversion loss of 6.2 dB is obtained for the mixer. Also, the LO to RF and LO to IF isolation of 30 dB and 40 dB are obtained, respectively. This mixer can be used in the area on wireless LAN application.

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2D and quasi 3D computational models for thermoelastic bending of FG beams on variable elastic foundation: Effect of the micromechanical models

  • Merzoug, Mostafa;Bourada, Mohamed;Sekkal, Mohamed;Abir, Ali Chaibdra;Chahrazed, Belmokhtar;Benyoucef, Samir;Benachour, Abdelkader
    • Geomechanics and Engineering
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    • v.22 no.4
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    • pp.361-374
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    • 2020
  • This paper is concerned with the thermoelastic bending of FG beams resting on two-layer elastic foundations. One of these layers is Winkler springs with a variable modulus while the other is considered as a shear layer with a constant modulus. The beams are considered simply supported and subjected to thermo-mechanical loading. Temperature-dependent material properties are considered for the FG beams, which are assumed to be graded continuously across the panel thickness. The used theories contain undetermined integral terms which lead to a reduction of unknowns functions. Several micromechanical models are used to estimate the effective two-phase FG material properties as a function of the particles' volume fraction considering thermal effects. Analytical solutions for the thermo-mechanical bending analysis are obtained based on Navier's method that satisfies the boundary conditions. Finally, the numerical results are provided to reveal the effect of explicit micromechanical models, geometric parameters, temperature distribution and elastic foundation parameters on the thermoelastic response of FG beams.

Thermal buckling analysis of metal-ceramic functionally graded plates by natural element method

  • J.R., Cho
    • Structural Engineering and Mechanics
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    • v.84 no.6
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    • pp.723-731
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    • 2022
  • Functionally graded materials (FGMs) have been spotlighted as an advanced composite material, accordingly the intensive studies have focused on FGMs to examine their mechanical behaviors. Among them is thermal buckling which has been a challenging subject, because its behavior is connected directly to the safety of structural system. In this context, this paper presents the numerical analysis of thermal buckling of metal-ceramic functionally graded (FG) plates. For an accurate and effective buckling analysis, a new numerical method is developed by making use of (1,1,0) hierarchical model and 2-D natural element method (NEM). Based on 3-D elasticity theory, the displacement field is expressed by a product of 1-D assumed thickness monomials and 2-D in-plane functions which are approximated by NEM. The numerical method is compared with the reference solutions through the benchmark test, from which its numerical accuracy has been verified. Using the developed numerical method, the critical buckling temperatures of metal-ceramic FG plates are parametrically investigated with respect to the major design parameters.

Thermal vibration of two-dimensional functionally graded (2D-FG) porous Timoshenko nanobeams

  • Mirjavadi, Seyed Sajad;Afshari, Behzad Mohasel;Shafiei, Navvab;Hamouda, A.M.S.;Kazemi, Mohammad
    • Steel and Composite Structures
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    • v.25 no.4
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    • pp.415-426
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    • 2017
  • The thermo-mechanical vibration behavior of two dimensional functionally graded (2D-FG) porous nanobeam is reported in this paper. The material properties of the nanobeam are variable along thickness and length of the nanobeam according to the power law function. The nanobeam is modeled within the framework of Timoshenko beam theory. Eringen's nonlocal elasticity theory is used to develop the governing equations. Using the generalized differential quadrature method (GDQM) the governing equations are solved. The effect of porosity, temperature distribution, nonlocal value, L/h, FG power indexes along thickness and length and are investigated using parametric studies.

Nonlocal strain gradient theory for bending analysis of 2D functionally graded nanobeams

  • Aicha Bessaim;Mohammed Sid Ahmed Houari;Smain Bezzina;Ali Merdji;Ahmed Amine Daikh;Mohamed-Ouejdi Belarbi;Abdelouahed Tounsi
    • Structural Engineering and Mechanics
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    • v.86 no.6
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    • pp.731-738
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    • 2023
  • This article presents an analytical approach to explore the bending behaviour of of two-dimensional (2D) functionally graded (FG) nanobeams based on a two-variable higher-order shear deformation theory and nonlocal strain gradient theory. The kinematic relations are proposed according to novel trigonometric functions. The material gradation and material properties are varied along the longitudinal and the transversal directions. The equilibrium equations are obtained by using the virtual work principle and solved by applying Navier's technique. A comparative evaluation of results against predictions from literature demonstrates the accuracy of the proposed analytical model. Moreover, a detailed parametric analysis checks for the sensitivity of the bending and stresses response of (2D) FG nanobeams to nonlocal length scale, strain gradient microstructure scale, material distribution and geometry.