• 제목/요약/키워드: Law Material Reduction

검색결과 22건 처리시간 0.023초

Bending analysis of porous microbeams based on the modified strain gradient theory including stretching effect

  • Lemya Hanifi Hachemi Amar;Abdelhakim Kaci;Aicha Bessaim;Mohammed Sid Ahmed Houari;Abdelouahed Tounsi
    • Structural Engineering and Mechanics
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    • 제89권3호
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    • pp.225-238
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    • 2024
  • In this paper, a quasi-3D hyperbolic shear deformation theory for the bending responses of a functionally graded (FG) porous micro-beam is based on a modified couple stress theory requiring only one material length scale parameter that can capture the size influence. The model proposed accounts for both shear and normal deformation effects through an illustrative variation of all displacements across the thickness and satisfies the zero traction boundary conditions on the top and bottom surfaces of the micro-beam. The effective material properties of the functionally graded micro-beam are assumed to vary in the thickness direction and are estimated using the homogenization method of power law distribution, which is modified to approximate the porous material properties with even and uneven distributions of porosity phases. The equilibrium equations are obtained using the virtual work principle and solved using Navier's technique. The validity of the derived formulation is established by comparing it with the ones available in the literature. Numerical examples are presented to investigate the influences of the power law index, material length scale parameter, beam thickness, and shear and normal deformation effects on the mechanical characteristics of the FG micro-beam. The results demonstrate that the inclusion of the size effects increases the microbeams stiffness, which consequently leads to a reduction in deflections. In contrast, the shear and normal deformation effects are just the opposite.

Buckling analysis of functionally graded truncated conical shells under external displacement-dependent pressure

  • Khayat, Majid;Poorveis, Davood;Moradi, Shapour
    • Steel and Composite Structures
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    • 제23권1호
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    • pp.1-16
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    • 2017
  • This paper is presented to solve the buckling problem of functionally graded truncated conical shells subjected to displacement-dependent pressure which remains normal to the shell middle surface throughout the deformation process by the semi-analytical finite strip method. Material properties are assumed to be temperature dependent, and varied continuously in the thickness direction according to a simple power law distribution in terms of the volume fraction of a ceramic and metal. The governing equations are derived based on first-order shear deformation theory which accounts for through thickness shear flexibility with Sanders-type of kinematic nonlinearity. The element linear and geometric stiffness matrices are obtained using virtual work expression for functionally graded materials. The load stiffness also called pressure stiffness matrix which accounts for variation of load direction is derived for each strip and after assembling, global load stiffness matrix of the shell which may be un-symmetric is formed. The un-symmetric parts which are due to load non-uniformity and unconstrained boundaries have been separated. A detailed parametric study is carried out to quantify the effects of power-law index of functional graded material and shell geometry variations on the difference between follower and non-follower lateral buckling pressures. The results indicate that considering pressure stiffness which arises from follower action of pressure causes considerable reduction in estimating buckling pressure.

Modal-based model reduction and vibration control for uncertain piezoelectric flexible structures

  • Yalan, Xu;Jianjun, Chen
    • Structural Engineering and Mechanics
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    • 제29권5호
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    • pp.489-504
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    • 2008
  • In piezoelectric flexible structures, the contribution of vibration modes to the dynamic response of system may change with the location of piezoelectric actuator patches, which means that the ability of actuators to control vibration modes should be taken into account in the development of modal reduction model. The spatial $H_2$ norm of modes, which serves as a measure of the intensity of modes to system dynamical response, is used to pick up the modes included in the reduction model. Based on the reduction model, the paper develops the state-space representation for uncertain flexible tructures with piezoelectric material as non-collocated actuators/sensors in the modal space, taking into account uncertainties due to modal parameters variation and unmodeled residual modes. In order to suppress the vibration of the structure, a dynamic output feedback control law is designed by imultaneously considering the conflicting performance specifications, such as robust stability, transient response requirement, disturbance rejection, actuator saturation constraints. Based on linear matrix inequality, the vibration control design is converted into a linear convex optimization problem. The simulation results show how the influence of vibration modes on the dynamical response of structure varies with the location of piezoelectric actuators, why the uncertainties should be considered in the reductiom model to avoid exciting high-frequency modes in the non-collcated vibration control, and the possiblity that the conflicting performance specifications are dealt with simultaneously.

염색가공분야에서 청정생산활동 접금방법 (Cleaner Production System in Dyeing & Finishing Its Approaching Mehods)

  • 이혜정;남창우;박영환
    • 청정기술
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    • 제9권2호
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    • pp.87-100
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    • 2003
  • 본 연구는 청정생산기술의 개념을 염색가공분야에 도입시키기 위한 방법론을 제시한 것이다. 먼저 각 분야별 전문가로 이루어진 진단지도팀을 구성하여 대상업체에서 진행중인 제조공정 진행상태를 파악하고 사용하는 원부자재의 성능 및 환경적 분석과 폐수의 환경적 분석을 실시하였다. 원부자재(조제 및 염료)의 환경성은 TOC, CODMn, CODCr, $BOD_5$의 항목으로 평가하였고, 발생되는 폐수는 TOC, CODMn, CODCr, $BOD_5$, TDS, pH의 항목으로 평가하였다. 또 물질수지 분석과 LCA 평가 후 다음 단계로 공정, 에너지, 원부자재, 생산관리, 일반관리에서의 문제점을 도출한 후 그 중에서 개선 대상을 선정하고 마지막 단계에서 각 부분에 대해 지도하여 개선토록 한 후 최종 개선 효과를 분석하였다.

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On post-buckling characteristics of functionally graded smart magneto-electro-elastic nanoscale shells

  • Asrari, Reza;Ebrahimi, Farzad;Kheirikhah, Mohammad Mahdi
    • Advances in nano research
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    • 제9권1호
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    • pp.33-45
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    • 2020
  • Geometrically nonlinear buckling of functionally graded magneto-electro-elastic (FG-MEE) nanoshells with the use of classical shell theory and nonlocal strain gradient theory (NSGT) has been analyzed in present research. Mathematical formulation based on NSGT gives two scale coefficients for simultaneous description of structural stiffness reduction and increment. Functional gradation of material properties is described based on power-law formulation. The nanoshell is under a multi-physical field related to applied voltage, magnetic potential, and mechanical load. Exerting a strong electric voltage, magnetic potential or mechanical load may lead to buckling of nanoshell. Taking into account geometric nonlinearity effects after buckling, the behavior of nanoshell in post-buckling regime can be analyzed. Nonlinear governing equations are reduced to ordinary equations utilizing Galerkin's approach and post-buckling curves are obtained based on an analytical procedure. It will be shown that post-buckling curves are dependent on nonlocal/strain gradient parameters, electric voltage magnitude and sign, magnetic potential magnitude and sign and material gradation exponent.

Elasto-plastic thermal stress analysis of functionally graded hyperbolic discs

  • Demir, Ersin;Callioglu, Hasan;Sayer, Metin
    • Structural Engineering and Mechanics
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    • 제62권5호
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    • pp.587-593
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    • 2017
  • The objective of this analytical study is to calculate the elasto-plastic stresses of Functionally Graded (FG) hyperbolic disc subjected to uniform temperature. The material properties (elastic modulus, thermal expansion coefficient and yield strength) and the geometry (thickness) of the disc are assumed to vary radially with a power law function, but Poisson's ratio does not vary. FG disc material is assumed to be non-work hardening. Radial and tangential stresses are obtained for various thickness profile, temperature and material properties. The results indicate that thickness profile and volume fractions of constituent materials play very important role on the thermal stresses of the FG hyperbolic discs. It is seen that thermal stresses in a disc with variable thickness are lower than those with constant thickness at the same temperature. As a result of this, variations in the thickness profile increase the operation temperature. Moreover, thickness variation in the discs provides a significant weight reduction. A disc with lower rigidity at the inner surface according to the outer surface should be selected to obtain almost homogenous stress distribution and to increase resistance to temperature. So, discs, which have more rigid region at the outer surface, are more useful in terms of resistance to temperature.

발포 알루미늄 샌드위치 패널의 차음성능 (Sound Insulation Performance of the Foamed Aluminum Sandwich Panel for a Railway Vehicle)

  • 안용찬;이중혁;변준호;김석현
    • 산업기술연구
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    • 제37권1호
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    • pp.1-4
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    • 2017
  • Speeding up of railway vehicles requires weight reduction of the vehicle body. However, when the vehicle body is lighter, the sound insulation performance for blocking the noise from the outside is reduced. Aluminum is an important material used in the bodywork of transportation vehicles such as railway vehicles, aircraft, and automobiles. In this study, the bending stiffness and sound insulation performance of foamed aluminum with sandwich structure are investigated experimentally. The transmission loss is measured in accordance with the international standard ASTM E 2249-02. The mass-law deviation is used to evaluate the sound insulation performance per weight. In order to examine the applicability of the foamed aluminum sandwich panel to railway vehicles, the analysis of bending stiffness and an experimental review are carried out at the same time.

The Estimation of the Dielectric Strength Decrease of the Solid-solid Interfaces by using the Applied Voltage to Breakdown Time Characteristics

  • Shin, Cheol-Gi;Bae, Duck-Kweon
    • Transactions on Electrical and Electronic Materials
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    • 제8권6호
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    • pp.278-282
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    • 2007
  • In the complex insulation system that is used in extra high voltage(EHV) devices, according to the trend for electric power equipment of high capacity and reduction of its size, macro interfaces between two different bulk materials which affect the stability of insulation system exist inevitably. In this paper, the dielectric strength decrease of the macro interfaces between epoxy and ethylene propylene diene terpolymer(EPDM) was estimated by using the applied voltage to breakdown time characteristics. Firstly, the AC short time dielectric strength of specimens was measured at room temperature. Then, the breakdown time was measured under the applied constant voltage which is 70% of short time breakdown voltage. With these processes, the life exponent n was determined by inverse power law, and the long time breakdown voltage can be evaluated. The best condition of the interface was LOS(low viscosity(350 cSt) silicone oil spread specimen). When 30 years last on the specimens, the breakdown voltage was estimated 44% of the short time breakdown voltage.

해수환경에서의 차축소재(RSA1) 부식특성 평가 (Evaluation of Corrosion Behavior of Railway Axle Material (RSA1) in Seawater)

  • 최두호;서승일
    • 한국산학기술학회논문지
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    • 제16권8호
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    • pp.5039-5044
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    • 2015
  • 본 연구에서는 철도차량의 차축소재로 사용되는 RSA1 소재에 대한 해수 부식특성 평가를 하였다. 미국재료시험협회에서 규정한 ASTM-D1141에 해당하는 인공해수를 사용하여 3전극 셀 구조를 이용한 동전위 분극법과 임피던스 분광법을 바탕으로 산출된 부식전류밀도와 부식속도는 각각 $18.3{\mu}A/cm2$와 0.217 mm/yr이다. 이 결과에 따르면 철도차량의 일반적인 내구연한인 25년을 가정할 때 한 면에서의 차축부식량은 5mm정도로 예상된다. 패러데이법칙을 바탕으로 한 정전류 부식 가속화 시험을 통해 1,3,4년의 부식양을 인위적으로 형성하였고, 단면적 감소분을 고려하여 인장시험을 시행하였다. 탄성구간에서는 부식에 의한 기계적 특성변화가 관찰되지 않았지만 소재의 연성 값은 부식이 진행 될수록 감소되는 경향을 보였다. 본 연구 결과는 향후 해수환경에서 사용될 철도차량 설계 시 고려할 기초 부식데이타로 활용될 것으로 기대된다.

Nonlinear transient analysis of FG pipe subjected to internal pressure and unsteady temperature in a natural gas facility

  • Soliman, Ahmed E.;Eltaher, Mohamed A.;Attia, Mohamed A.;Alshorbagy, Amal E.
    • Structural Engineering and Mechanics
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    • 제66권1호
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    • pp.85-96
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    • 2018
  • This study investigates the response of functionally graded (FG) gas pipe under unsteady internal pressure and temperature. The pipe is proposed to be manufactured from FGMs rather than custom carbon steel, to reduce the erosion, corrosion, pressure surge and temperature variation effects caused by conveying of gases. The distribution of material graduations are obeying power and sigmoidal functions varying with the pipe thickness. The sigmoidal distribution is proposed for the 1st time in analysis of FG pipe structure. A Two-dimensional (2D) plane strain problem is proposed to model the pipe cross-section. The Fourier law is applied to describe the heat flux and temperature variation through the pipe thickness. The time variation of internal pressure is described by using exponential-harmonic function. The proposed problem is solved numerically by a two-dimensional (2D) plane strain finite element ABAQUS software. Nine-node isoparametric element is selected. The proposed model is verified with published results. The effects of material graduation, material function, temperature and internal pressures on the response of FG gas pipe are investigated. The coupled temperature and displacement FEM solution is used to find a solution for the stress displacement and temperature fields simultaneously because the thermal and mechanical solutions affected greatly by each other. The obtained results present the applicability of alternative FGM materials rather than classical A106Gr.B steel. According to proposed model and numerical results, the FGM pipe is more effective in natural gas application, especially in eliminating the corrosion, erosion and reduction of stresses.