• 제목/요약/키워드: castigliano's theorem

검색결과 15건 처리시간 0.02초

환형 인덕티브 센서의 설계 및 압력센서로의 적용 (Ring-Shaped Inductive Sensor Design and Application to Pressure Sensing)

  • 노명규;김선영;백성기;박영우
    • 대한기계학회논문집A
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    • 제39권10호
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    • pp.995-999
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    • 2015
  • 자기유도(inductive) 센서는 원리가 간단하고 경제적이어서 변위, 힘, 압력 등 다양한 물리량 측정에 사용된다. 본 논문에서는 고리 모양의 강판과 코일로 이루어진 간단한 구조의 자기유도 센서를 제안하였다. 센서의 인덕턴스를 자기회로 방법을 이용하여 추정하고 유한요소 해석을 통해 검증하였다. 고리의 고유 진동수를 Castigliano 정리와 등가 질량 방법을 이용하여 추정하고 실험 및 유한요소 해석을 통해 검증하였다. 기계적 진동에 영향을 주지 않도록 센서의 가진 주파수를 결정하였으며, 구동 및 신호처리 회로를 설계하여 센서를 제작하였다. 제작된 자기유도 센서를 유연관 내부의 유체 압력을 비침습적으로 측정하는데 활용하였다. 압력과 센서 출력 간의 관계를 이차식 형태로 표현하면 2% 이내의 정확도로 압력을 측정할 수 있어 압력 센서로서의 가능성을 확인하였다.

Investigating the effect of edge crack on the modal properties of composite wing using dynamic stiffness matrix

  • Torabi, Ali Reza;Shams, Shahrokh;Fatehi-Narab, Mahdi
    • Steel and Composite Structures
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    • 제39권5호
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    • pp.543-564
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    • 2021
  • In this study free vibration analysis of a cracked Goland composite wing is investigated. The wing is modelled as a cantilevered beam based on Euler- Bernoulli equations. Also, composite material is modelled based on lamina fiber-reinforced. Edge crack is modelled by additional boundary conditions and local flexibility matrix in crack location, Castigliano's theorem and energy release rate formulation. Governing differential equations are extracted by Hamilton's principle. Using the separation of variables method, general solution in the normalized form for bending and torsion deflection is achieved then expressions for the cross-sectional rotation, the bending moment, the shear force and the torsional moment for the cantilevered beam are obtained. The cracked beam is modelled by separation of beam into two interconnected intact beams. Free vibration analysis of the beam is performed by applying boundary conditions at the fixed end, the free end, continuity conditions in the crack location of the beam and dynamic stiffness matrix determinant. Also, the effects of various parameters such as length and location of crack and fiber angle on natural frequencies and mode shapes are studied. Modal analysis results illustrate that natural frequencies and mode shapes are affected by depth and location of edge crack and coupling parameter.

판형 홀다운스프링 집합체의 탄성강성도 민감도 평가 (Evaluation of an elastic stiffness sensitivity of leaf type HDS)

  • 송기남
    • 대한기계학회논문집A
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    • 제21권8호
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    • pp.1276-1290
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    • 1997
  • The previous elastic stiffness formulas of leaf type holddown spring assemblies(HDSs) have been corrected and extended to be able to consider the point of taper runout for the TT-HDS and all the strain energies for both the TT-HDS and the TW-HDS based on Euler beam theory and Castigliano'stheorem. The elastic stiffness sensitivity of the leaf type holddown spring assemblies was analyzed using the derived elastic stiffness formulas and their gradient vectors obtained from the mid-point formula. As a result of the sensitivity analysis, the elastic stiffness sensitivity at each design variable is quantified and design variables having remarkable sensitivity are identified. Among the design variables, leaf thickness is identified as that of having the most remarkable sensitivity of the elastic stiffness. In addition, it was found that the sensitivity of the leaf type HDS's elastic stiffness is exponentially correlated to the leaf thickness.

코너부 곡률을 고려한 선박용 파이프 루프 설계식 개발 (Development of Design Formulas for Pipe Loops Used in Ships Considering the Curvature of Corners)

  • 박치모;양박달치
    • 한국해양공학회지
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    • 제23권4호
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    • pp.91-99
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    • 2009
  • Many longitudinally arranged pipes in ships are subject to considerable displacement loads caused by the hull girder bending of ships and/or thermal loads in some special pipes through which fluids with highly abnormal temperatures are conveyed. As these loads may cause failure in the pipes or their supporting structures, loops have been widely adopted as a measure to prevent such failure, with the idea that they can lower the stress level in a pipe by absorbing some portion of these loads. But since such loops have some negative effects, such as causing extra manufacturing cost and occupying extra space, the number and dimensions of the loops need to be minimized. This research developed design formulas for pipe loops, modeling them as a spring element, for which the axial stiffness is calculated based on the beam theory, incorporating the effects of the curvature of loop corners and the flexibility of the straight portion of the pipe. The accuracy of the proposed design formulas was verified by comparing two results respectively obtained by the proposed formulas and MSC/NASTRAN. The paper ends with a sample application of the proposed formulas showing their efficiency.

원자 현미경용 샘플 스캐너의 개발 (Development of a Sample Scanner for Atomic Force Microscope)

  • 이동연;이무연;권대갑
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2005년도 추계학술대회논문집
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    • pp.879-882
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    • 2005
  • This paper shows a method for design of the nano-positioning planar scanner used in the scanning probe microscope. The planar scanner is composed of flexure guides, piezoelectric actuators and feedback sensors. In the design of flexure guides, the Castigliano's theorem was used to find the stiffness of the guide. The motion amplifying mechanism was used in the piezoelectric actuator to achieve a large travel range. We found theoretically the travel range of the total system and verified using the commercial FEM(Finite element method) program. The maximum travel range of the planar scanner is above than 140 $\mu$m. The 3 axis positioning capability was verified by the mode analysis using the FEM program. Moreover, we presented the actual AFM(Atomic Force Microscope) imaging results with up to 2Hz imaging scan rate. Experimental results show that the properties of the proposed planar scanner is well enough to be used in SPM applications like AFM.

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