• Title/Summary/Keyword: Dead tip load

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Extensible Elastica Solutions on the Large Deflection of Fiber Cantilever with Circular Wavy Crimp (I) - Derivation of Models and Their Solutions-

  • Jung Jae Ho;Kang Tae Jin
    • Fibers and Polymers
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    • v.6 no.1
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    • pp.55-65
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    • 2005
  • Extensible elastica solutions of two-dimensional deflection of crimped fiber cantilever of circular wavy crimp were obtained for one end clamped boundary under concentrated, inclined and dead tip load Fiber was also regarded as a linear elastic material. Crimp was described as a combination of semicircular arcs smoothly connected with each other having con­stant curvature of all the same magnitude and alternative sign. Also the inclined load direction was taken into account. The solutions were expressed as the recursive forms of integrals in two different cases, which can also be transformed to elliptic integrals respectively. Comparing the data with inextensible ones was carried out. Consequently in the solution, the normal strain of neutral axis is expressed in terms of cross-sectional area, second moment of area and normalized load parameter. Examples of the circular cross-sectioned fiber are presented. As a result, the differences of normalized load between inexten­sible and extensible elastica solutions when the radius ratio becomes 0.1 were maximum $\Lambda$ = 0.1.

Dynamic Stability of a Cantilevered Vertical Column Subjected to a Subtangential Force and Having a Tip Mass (끝단질량을 갖고 아접선력을 받는 외팔 수직기둥의 동적 안정성)

  • Park, Young-Pil;Ryu, Bong-Jo;Lee, Gyu-Seop;Kim, In-Sung
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.21 no.2
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    • pp.245-251
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    • 1997
  • The dynamic behavior of elastic columns under the action of the subtangential force is studied in this paper. The subtangential force is the combination of the tip mass dead load and pure follower thrust. In this study, the tip mass is assumed to be a rigid body rather than a point mass. The equations of motion are derived based on the extended Hamilton's principle and the finite element method. Then the equations of motion are trasformed into a dimensionless form, and several parameters are identified. It is found that the critical subtangential force can be changed subtangentially by considering the parameters related to tip mass. It is also shown that the nonconservativeness of the applied force has a significant effect on the type of instability. The influence of the self-weight of the column on the variation of the critical force is also investigated.

Dynamic Stability of Vertical Columns Subjected to a Subtangential Froce (아접선력을 받는 수직 기둥의 동적 안정성)

  • 박영필
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1996.04a
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    • pp.313-318
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    • 1996
  • This paper deals with the dynamic behavior of elastic columns under the action of subtangential forces. The above subtangential force can be-realized by the combination force between the dead load of thetip mass and the pure follower thrust. The tip mass is assumed to be a rigid body not a mass point as it has been assumed so for. The equations of motion are formulated based on extended Hamilton's principle and the finite element method. It is shown that nonconservativeness of the applied force has greatly effect on the instability type. It is found that the critical subtangential force can also be changed by consideration of the tip mass parameters taking into account of its magnitude, rotary inertia and size. The influence of the self-weight of the column on the change of the critical force is also investigated.

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Fabrication of a Multiplexing Sensor Probe for Measuring the Blade Deflection of a Wind Power Generator (풍력발전기 블레이드 처짐 측정을 위한 다중화 센서 탐촉자 설계 제작)

  • Kim, Ji-Dea;Lee, Dong-Ju
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.23 no.2
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    • pp.178-185
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    • 2014
  • This paper describes a fabrication multiplexing sensor probe that employs a fiber Bragg grating(FBG) based on multiple measurements to determine the blade deflection of a wind power generator the reliability analysis of this probe is also presented. To diminish the temperature sensitivity of the FBG sensor, we form multiple CFRPs onto the upper and lower layers of the FBG and package it with an epoxy resin. As a result, the depth of the CFRP is 1mm, and the temperature sensitivity is $2.39pm/^{\circ}C$. We construct a sensor network utilizing the fabricated sensor with a blade beam model. As the number of pendulums is increased on the fore-end of the beam, the strain value is measured. The strain variation is calculated from the measurement of the load on the blade beam model by monitoring the strain of the FBG sensor. When the linear equation is applied, the strain error is 0.4% and when the finite difference method is used, the tip deflection error is 3.3%. The displacement error derived from the strain value of the FBG sensor is 4.39%. The calculated result between the measured value of the dead-end of the beam and the strain is less than 2.46% tip distortion error. Therefore, our proposed multiplexing sensor probe is a low-cost and high-reliability solution for a commercial wind power generator.