• 제목/요약/키워드: shape equation

검색결과 1,148건 처리시간 0.033초

형상기억합금 작동기를 이용한 스마트 구조물의 진동 및 위치 추적제어 (Vibration and Position Tracking Control of a Smart Structure Using SMA Actuators)

  • 박노준;최승복;정재천
    • 한국정밀공학회지
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    • 제13권8호
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    • pp.155-163
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    • 1996
  • This paper presents vibration and position tracking control of a smart structure using shape memory alloy(SMA) actuators. A governing equation of motion of the proposed structure is obtained via Hamilton's princeple. The dynamic characteristics of the SMA actuator are experimentally identified and incorporated with the governing equation to furnish a control system model. Subsequently, a sliding mode controller which has inherent robustness to external disturbances is formulated on the basis of the sliding mode conplacement, and also for the position tracking control of desired trajectories with low-frequency sine and square waves.

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Free vibration analysis of FGP nanobeams with classical and non-classical boundary conditions using State-space approach

  • Tlidji, Youcef;Benferhat, Rabia;Daouadji, Tahar Hassaine;Tounsi, Abdelouahed;Trinh, L.Cong
    • Advances in nano research
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    • 제13권5호
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    • pp.453-463
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    • 2022
  • This paper aims to investigate the vibration analysis of functionally graded porous (FGP) beams using State-space approach with several classical and non-classical boundary conditions. The materials properties of the porous FG beams are considered to have even and uneven distributions profiles along the thickness direction. The equation of motion for FGP beams with various boundary conditions is obtained through Hamilton's principle. State-space approach is used to obtain the governing equation of porous FG beam. The comparison of the results of this study with those in the literature validates the present analysis. The effects of span-to-depth ratio (L/h), of distribution shape of porosity and others parameters on the dynamic behavior of the beams are described. The results show that the boundary conditions, the geometry of the beams and the distribution shape of porosity affect the fundamental frequencies of the beams.

Topological Design Sensitivity on the Air Bearing Surface of Head Slider

  • Yoon, Sang-Joon;Kim, Min-Soo;Park, Dong-Hoon
    • Journal of Mechanical Science and Technology
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    • 제16권8호
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    • pp.1102-1108
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    • 2002
  • In this study, a topological design sensitivity of the ai. bearing surface (ABS) is suggested by using an adjoint variable method. The discrete form of the generalized lubrication equation based on a control volume formulation is used as a compatible condition. A residual function of the slider is considered as an equality constraint function, which represents the slider in equilibrium. The slider thickness parameters at all grid cells are chosen as design variables since they are the topological parameters determining the ABS shape. Then, a complicated adjoint variable equation is formulated to directly handle the highly nonlinear and asymmetric coefficient matrix and vector in the discrete system equation of air-lubricated slider bearings. An alternating direction implicit (ADI) scheme is utilized for the numerical calculation. This is an efficient iterative solver to solve large-scale problem in special band storage. Then, a computer program is developed and applied to a slider model of a sophisticated shape. The simulation results of design sensitivity analysis (DSA) are directly compared with those of FDM at the randomly selected grid cells to show the effectiveness of the proposed approach. The overall distribution of DSA results are reported, clearly showing the region on the ABS where special attention should be given during the manufacturing process.

TA-ESPI에 의한 외팔보의 탄성계수 측정 (Evaluation of Young's Modulus of a Cantilever Beam by TA-ESPI)

  • 이항서;김경석;강기수;정현철;양승필
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2005년도 춘계학술대회 논문집
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    • pp.1115-1119
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    • 2005
  • The paper proposes the elastic modulus evaluation technique of a cantilever beam by vibration analysis based on time-average electronic speckle pattern interferometry (TA-ESPI) with non-contact and nondestructive and Euler-Bernoulli equation. General approaches for the measurement of elastic modulus of thin film are Nano indentation test, Bulge test and Micro-tensile test and so on. They each have strength and weakness in the preparation of test specimen and the analysis of experimental result. ESPI has been developed as a common measurement method for vibration mode visualization and surface displacement. Whole-field vibration mode shape (surface displacement distribution) at a resonance frequency can be visualized by ESPI. And the maximum surface displacement distribution from ESPI is a clue to find the resonance frequency at each vibration mode shape. And the elastic modules of test material can be easily estimated from the measured resonance frequency and Euler-Bernoulli equation. The TA-ESPI vibration analysis technique is able to give the elastic modulus of materials through the simple processing of preparation and analysis.

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Win-Road Simulation을 활용한 고속도로 중앙분리대 시선유도도장에 대한 경관선호도 분석 (Landscape Preference of the Guide Coating in the Median Barrier on the Expressway by Win-Road Simulation)

  • 김태균;최재영;이문영;금기정
    • 한국도로학회논문집
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    • 제15권3호
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    • pp.117-125
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    • 2013
  • PURPOSES: By conducting the landscape survey that considered landscape factors of the Guide Coating in the Median Barrier that applied of the various level by simulating of the Guide Coating in the Median Barrier on the expressway, they showed the quantitative standard of landscape preference factors that the Guide Coating gives. METHODS: The shape of the Structural Equation Modeling used AMOS program and made a shape that is made of landscape preference for the Guide Coating in the Median Barrier on the expressway a dependent variable. RESULTS: Result in this, they showed that functionality and emotionalism are the factors that affect the landscape preference. CONCLUSIONS: In the main study, not only showing the Guide Coating in the Median Barrier on the expressway landscape valuation but also embodying the Structural Equation Modeling(SEM) of each group, knowing the Guide Coating and unknowing the Guide Coating. By embodying this, they could study that the drivers' quantitative standard is different when the Guide Coating become first applied and being changed after.

대칭 모드 아치의 준-해석적 테일러 해와 동적 안정성 (Dynamic Stability and Semi-Analytical Taylor Solution of Arch With Symmetric Mode)

  • 비자야 P. 포크렐;손수덕;하준홍;이승재
    • 한국공간구조학회논문집
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    • 제18권3호
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    • pp.83-91
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    • 2018
  • In this study, we investigated the dynamic stability of the system and the semi-analytical solution of the shallow arch. The governing equation for the primary symmetric mode of the arch under external load was derived and expressed simply by using parameters. The semi-analytical solution of the equation was obtained using the Taylor series and the stability of the system for the constant load was analyzed. As a result, we can classify equilibrium points by root of equilibrium equation, and classified stable, asymptotical stable and unstable resigns of equilibrium path. We observed stable points and attractors that appeared differently depending on the shape parameter h, and we can see the points where dynamic buckling occurs. Dynamic buckling of arches with initial condition did not occur in low shape parameter, and sensitive range of critical boundary was observed in low damping constants.

고속전철의 형상에 따른 공력특성 연구 (A Study about aerodynamic characteristics of High speed train by fore-body shape design)

  • 진원재;이봉래
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 1997년도 추계학술대회 논문집
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    • pp.735-738
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    • 1997
  • The aerodynamic charateristics of high speed train can be improved by fore-body design. In this paper, the design a fore-body shape which has optimal aerodynamic charateristics, 6 models of fore-body shape are proposed and the change of aerodynamic characteristics is studied through calculations of flow field around high speed train fro each fore-body shape. The flow field around high speed trains are calculated using Navier-Stokes equation. The variational trends of aerodynamic characteristics are studied from the result of flow calculation around high speed trains for 6 fore-body shapes.

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가장 효율적인 음향 압축기의 튜브형상 (Tube Shape for Highly Efficient Sonic Compressor)

  • 전영두;김양한
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2000년도 춘계학술대회논문집
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    • pp.1455-1460
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    • 2000
  • When a tube is oscillated at a resonant frequency, acoustic variables such as density, velocity, and pressure undergo very large perturbation, often described as nonlinear oscillation. In order to analyze these phenomena, nonlinear governing equation has been drived and solved numerically. Numerical simulations were accomplished to study the effect of the tube shape on the maximum pressure we can obtain. The tubes of cylindrical, conical, and cosine-shape, which have same volume and length, were investigated. Results show that the resonant frequency and patterns of pressure waves strongly depend on not only the tube shape but also the amplitude of driving acceleration. The degree of non-linearity of wave patterns was also measured by the newly defined nonlinear energy ratio of the pressure signals. It was found that the 1/2 cosine-shape tube is more suitable to induce high compression ratio than other shapes.

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탄성 충돌체간의 충격력 재현에 관한 연구 (A Study on the Reconstruction of Impact Force produced by the Collision between Two Elastic Structures)

  • 조창기;류봉조;이규섭;박영필
    • 한국정밀공학회지
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    • 제20권4호
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    • pp.49-58
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    • 2003
  • In this study, the equation of motion of impacting elastic structures was derived through the theory, and the shape control of impact force using correlations of the dynamic characteristics and impact force history between two elastic structures was accomplished. Through numerical analysis and experiments, the classical contact mechanisms were verified, and the effects of the relative motion between impactor and elastic structure on the impact force shape were studied, and then the shape change of impact force depending on the impact position and mode shape of cantilever beam were analyzed. The 2-DOF impactor was designed and used. Reconstruction characteristics of impact force in cantilever beam were reviewed .

평형해법을 이용한 트렁크 리드의 단면해석과 3차원 형상합성 (The Sectional Analysis of Trunk-lid using the Equilibrium Approach and Three-Dimensional Shape Composition)

  • 정동원
    • 한국해양공학회지
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    • 제15권2호
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    • pp.66-71
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    • 2001
  • A sectional analysis of trunk-lid carried out by using the equilibrium approach based on the force balance together with geometric relations and plasticity theory. In computing a force balance equation, it is required to define a geometric curve approximating the shape of sheet metal at any step of deformation from the interaction between the die and the deformed sheet. The trunk-lid panel material is assumed to possess normal anisotropy and to obey Hill's new yield criterion. Deformation of each section of trunk-lid panel is simulated and composed to get the three-dimensional shape by using CAD technique. It was shown that the three-dimensional shape composition of the two-dimensional analysis.

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