• 제목/요약/키워드: Elastic Nonlinearity

검색결과 151건 처리시간 0.023초

The buckling of piezoelectric plates on pasternak elastic foundation using higher-order shear deformation plate theories

  • Ellali, Mokhtar;Amara, Khaled;Bouazza, Mokhtar;Bourada, Fouad
    • Smart Structures and Systems
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    • 제21권1호
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    • pp.113-122
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    • 2018
  • In this article, an exact analytical solution for mechanical buckling analysis of magnetoelectroelastic plate resting on pasternak foundation is investigated based on the third-order shear deformation plate theory. The in-plane electric and magnetic fields can be ignored for plates. According to Maxwell equation and magnetoelectric boundary condition, the variation of electric and magnetic potentials along the thickness direction of the plate is determined. The von Karman model is exploited to capture the effect of nonlinearity. Navier's approach has been used to solve the governing equations for all edges simply supported boundary conditions. Numerical results reveal the effects of (i) lateral load, (ii) electric load, (iii) magnetic load and (iv) higher order shear deformation theory on the critical buckling load have been investigated. These results must be the analysis of intelligent structures constructed from magnetoelectroelastic materials.

세 가지 상을 갖는 코드섬유-고무 복합재료의 계면의 영향 (Effect of Interface in Three-phase Cord-Rubber Composites)

  • 김종국;염영진
    • 대한기계학회논문집A
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    • 제33권11호
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    • pp.1249-1255
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    • 2009
  • Cord-rubber composites widely used in tires show very complicated mechanical behavior such as nonlinearity and large deformation. Three-phase(cord, rubber and the interface) modeling has been used to analyze the stress distribution in the cord-rubber composites more accurately. In this study, finite element methods were performed using two-dimensional generalized plane strain element and plane strain element to investigate the stress distribution and effective modulus of cord-rubber composites. Neo Hookean model was used for rubber property and several interface properties were assumed for various loading directions. It was found that the interface properties affect the effective modulus and the distributions of shear stress.

진동응답을 최소화하는 비구속형 제진보의 제진 부위 최적설계 (Optimal Treatment of Unconstrained Visco-elastic Damping Layer on Beam to Minimize Vibration Responses)

  • 이두호
    • 한국소음진동공학회논문집
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    • 제15권7호
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    • pp.829-835
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    • 2005
  • An optimization formulation of unconstrained damping treatment on beam is proposed to minimize vibration responses using a numerical search method. The fractional derivative model is combined with RUK's equivalent stiffness approach in order to represent nonlinearity of complex modulus of damping materials with frequency and temperature. Vibration responses are calculated by using the modal superposition principle, and of which design sensitivity formula with respect to damping layout is derived analytically. Plugging the sensitivity formula into optimization software, we can determine optimally damping treatment region that gives minimum forced response under a given boundary condition. A numerical example shows that the proposed method is very effective in suppressing nitration responses by means of unconstrained damping layer treatment.

지진시 철근콘크리트 기둥-기초 접합부의 불연속 변위에 관한 해석적 연구 (Analytical Study on Discontinuous Displacement in Reinforced Concrete Column-Footing Joint under Earthquake)

  • 김태훈;신현목
    • 콘크리트학회논문집
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    • 제12권6호
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    • pp.83-90
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    • 2000
  • This paper presents an analytical prediction of the elastic behavior of discontinuous displacement in reinforced concrete column-footing joint under earthquake. Material nonlinearity is taken into account by comprising tensile, compressive and shear models of cracked concrete and a model of reinforcing steel. The smeared crack approach is incorporated. In boundary plane at which each member with different thickness is connected, local discontinuous deformation due to the abrupt change in their stiffness can be taken into account by introducing interface element. The proposed numerical method for hysteretic behavior of discontinuous displacement in reinforced concrete column-footing joint will be verified by comparison with reliable experimental results.

수중운동체의 심도제어를 위한 제어기 설계 (Controller design for depth control of vehicle under seawater)

  • 윤강섭;박경철
    • 대한기계학회논문집A
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    • 제20권1호
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    • pp.24-34
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    • 1996
  • In ordaer to hold an underwater vehicle at a certain depth, buoyancy that acts on the underwater vehicle can be modulated. In this research, buoyancy that could control depth of underwater vehicle is generated by a buoyancy bag. Solenoid valves are operated by pulse with modulation(PWM) method. State equation, in consideration of the volume of buoyancy bag, pressure inside bag, and dynamic of the underwater vehicle, is derived. This system is very unstable, inculdes modelling error and nonlinearity. In depth control system, maintanance of performance is required., anainst vatiation of systerm parameter and operating depth, and designed. Through the computer simulation, performance is comparerd for each controllers.

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막구조물의 파손단면에서의 응력집중 현상에 관한 연구 (A Study on the Stress Concentration at Crack of Membrane Structures)

  • 전진형;정을석;김승덕
    • 한국공간구조학회:학술대회논문집
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    • 한국공간구조학회 2005년도 춘계학술발표회 및 정기총회 2권1호(통권2호)
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    • pp.89-98
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    • 2005
  • Membrane structures, a kind of lightweight soft structural system, are used for spatial structures. The material property of the membrane has strong axial stiffness, but little bending stiffness. Therefore membrane structures arc unstable structures initially. These soft structures need to be introduced initial stresses first because of its initial unstable state, and it happens large deformation phenomenon. To find the structural shape after large deformation caused by initial stiffness introduced, we need the shape analysis considering geometric nonlinearity in structural design procedure. In this study, we investigate into the stress concentration at crack of membrane structures. Therefore, using the nonlinear analysis program that NASS (Nonlinear Analysis for Spatial Structures) perform nonlinear analysis, and stress distribution for creak length investigate for using linear elastic fracture mechanics.

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비구속형 점탄성 제진층을 갖는 보의 제진층 길이 최적화 (Length Optimization for Unconstrained Visco-elastic Damping Layer of Beams)

  • 이두호;황우석
    • 한국소음진동공학회논문집
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    • 제13권12호
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    • pp.938-946
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    • 2003
  • Length of an unconstrained viscoelastic damping layer on beams is determined to maximizeloss factor using a numerical search method. The fractional derivative model can describe damping characteristics of viscoelastic damping materials accurately, and is used to represent nonlinearity of complex modulus with frequencies and temperatures. Equivalent flexural rigidity of the unconstrained beam is obtained using Ross, Ungar, Kelvin[RUK] equation. The loss factors of partially covered unconstrained beam are calculated by a modal strain energy method. Optimal lengths of the unconstrained viscoelastic damping layer of beams are identified with ambient temperatures and thickness ratios of beam and damping layer by using a finite-difference-based steepest descent method.

치형수정된 기어구동계의 비선형 동특성 해석 (Nonlinear Dynamic Characteristics of Gear Driving System with Tooth Modification)

  • 조윤수;최연선
    • 한국소음진동공학회논문집
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    • 제13권9호
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    • pp.688-693
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    • 2003
  • To reduce the vibration of a gear driving system. the modification of gear tooth from the orignal involute gear profile is usually done in gear manufacturers. The quantity of tooth modification has been decided on the basis of the interference between two gear teeth during gear meshing and the elastic deformation due to loading. However. the dynamic characteristics with tooth modification has to be investigated to avoid the instability to the variation of gear meshing stiffness and the nonlinearity due to gear backlash which results in sub- or super-harmonics in its responses. This research shows the dynamic characteristics with various tooth modifications in its type and quantity.

비구속형 점탄성 제진층을 갖는 보의 제진층 길이 최적화 (Length Optimization for Unconstrained Visco-elastic Damping Layer of Beams)

  • 이두호;황우석
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2003년도 추계학술대회논문집
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    • pp.665-671
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    • 2003
  • Length of an unconstrained viscoelastic damping layer on beams is determined to maximize loss factor using a numerical search method. The fractional derivative model can describe damping characteristics of the viscoelastic damping material, and is used to represent nonlinearity of complex modulus with frequencies and temperatures. Equivalent flexural rigidity of the unconstrained beam is obtained using Ross, Ungar, Kerwin(RUK) equation. The loss factors of partially covered unconstrained beam are calculated by a modal strain energy method. Optimal lengths of the unconstrained viscoelastic damping layer of beams are obtained with respect to ambient temperatures and thickness ratios of beam and damping layer.

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쉘 구조물의 비선형 동적응답 해석을 위한 Algorithm에 관한 연구 (A Study on the Algorithm for Nonlinear Dynamic Response Analysis of Shell Structure)

  • 최찬문
    • 수산해양기술연구
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    • 제32권2호
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    • pp.164-176
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    • 1996
  • The main intention of this paper is to develop and compare the algorithm based on finite element procedures for nonlinear transient dynamic analysis which has combined effects of material and geometric nonlinearities. Incremental equilibrium equations based on the principle of virtual work are derived by the finite element approach. For the elasto - plastic large deformation analysis of shells and the determination of the displacement-time configuration under time-varying loads, the explicit, implicit and combined explicit-implicit time integration algorithm is adopted. In the time structure is selected and the results are compared with each others. Isoparametric 8-noded quadrilateral curved elements are used for shell structure in the analysis and for geometrically nonlinear elastic behaviour, a total Lagrangian coordinate system was adopted. On the other hands, material nonlinearity is based on elasto-plastic models with Von-Mises yield criteria. Thus, the combined explicit-implicit time integration algorithm is benefit in general case of shell structure, which is the result of this paper.

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