• 제목/요약/키워드: equations of motion

검색결과 2,321건 처리시간 0.083초

Maneuvering and Active Vibration Control of Slewing Flexible Beam Using Input Shaper (입력성형기를 이용한 회전 유연보의 조종 및 진동제어)

  • Kwak, Moon-K.;Yang, Dong-Ho;Lee, Jae-Ha
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • 제22권6호
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    • pp.542-549
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    • 2012
  • This research is concerned with the derivation of equations of motion for a slewing beam and the application of input shaper to the bang-bang control to achieve vibration suppression. When a uniform beam with a tip mass rotates about the axis perpendicular to the undeformed beam's longitudinal axis, it experiences inertial loading. Hence, the beam vibrates. In this paper, we used the input shaper for the maneuvering control to suppress vibrations. The maneuvering control which can achieve a minimum-time control is a bang-bang control. The input-shaped bang-bang maneuvering is used to suppress vibrations both theoretically and experimentally. The slewing beam experiment is not an easy subject because of the inherent damping existing inside the rotor. We propose the use of a negative damping to eliminate the rotor damping. Numerical and experimental results show that the input-shaper can be effectively used for the vibration suppression of a slewing beam.

A Study on the Approximate Formula for Radiation Efficiency of a Simply Supported Rectangular Plate in Water (단순지지 사각 접수 평판의 방사효율 근사식에 관한 연구)

  • Kim, Hyun-Sil;Kim, Jae-Seung;Kim, Bong-Ki;Kim, Sang-Ryul
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • 제24권1호
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    • pp.21-27
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    • 2014
  • In this paper, an approximate formula for radiation efficiency of the plate surround by an infinite rigid baffle is studied. The plate is simply supported and one side is in contact with air, while other side with water. By assuming an infinite plate, the fluid loading effect is derived in terms of an effective mass. Based on the observation that the fluid loading effect decreases as frequency increases, the radiation efficiency formula at high frequency, which was originally derived for a plate vibrating in the air, is modified as the approximate formula for a submerged plate. The fluid loading effect is taken into account in the wavenumber of the plate. Comparisons of the approximate formula with the numerical results shows that they match well except the mid-frequency range in which numerical results show many oscillations. In numerically solving the fully coupled equations of motion, fourfold integrals of the impedance coefficients are reduced to single nonsingular integrals, which results in substantial reduction in computing time.

Performance Analysis with Different Tire Pressure of Quarter-vehicle System Featuring MR Damper (MR 댐퍼를 장착한 1/4차량의 타이어 공기압에 따른 성능분석)

  • Sung, Kum-Gil;Lee, Ho-Guen;Choi, Seung-Bok;Park, Min-Kyu;Park, Myung-Kyu
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • 제20권3호
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    • pp.249-256
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    • 2010
  • This paper presents performance analysis of a quarter-vehicle magneto-rheological(MR) suspension system with respect to different tire pressure. As a first step, MR damper is designed and manufactured based on the optimized damping force levels and mechanical dimensions required for a commercial mid-sized passenger vehicle. After experimentally evaluating dynamic characteristics of the manufactured MR damper, the quarter-vehicle MR suspension system consisting of sprung mass, spring, tire and the MR damper is constructed in order to investigate the ride comfort. After deriving the equations of the motion for the proposed quarter-vehicle MR suspension system, vertical tire stiffness with respect to different tire pressure is experimentally identified. The skyhook controller is then implemented for the realization of quarter-vehicle MR suspension system. Ride comfort characteristics such as vertical acceleration RMS and weighted RMS of sprung mass are evaluated under various road conditions.

Dynamic analysis for anti-symmetric cross-ply and angle-ply laminates for simply supported thick hybrid rectangular plates

  • Benhenni, Mohamed Amine;Daouadji, Tahar Hassaine;Abbes, Boussad;Adim, Belkacem;Li, Yuming;Abbes, Fazilay
    • Advances in materials Research
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    • 제7권2호
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    • pp.119-136
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    • 2018
  • In this paper, static and vibration analysis for anti-symmetric cross-ply and angle- ply carbon/glass hybrid laminates rectangular composite plate are presented. In this analysis, the equations of motion for simply supported thick laminated hybrid rectangular plates are derived and obtained through the use of Hamilton's principle. The closed-form solutions of anti-symmetric cross-ply and angle- ply laminates are obtained using Navier solution. The effects of side-to-thickness ratio, aspect ratio, and lamination schemes on the fundamental frequencies loads are investigated. The study concludes that shear deformation laminate theories accurately predict the behavior of composite laminates, whereas the classical laminate theory over predicts natural frequencies. The excellent accuracy of the present analytical solution is confirmed by making some comparisons of the present results with those available in the literature. It can be concluded that the proposed theory is accurate and simple in solving the free vibration behaviors of anti-symmetric cross-ply and angle- ply hybrid laminated composite plates.

A Study on the Depth Dependent Characteristics of Earthquake Ground Motions in a Layered Ground Medium Using Point Source Models (점진원모델을 사용한 층상지반에서의 깊이에 따른 지반운동 특성 변화연구)

  • Koh, Hyun Moo;Kim, Jae Kwan;Kwon, Ki Jun
    • KSCE Journal of Civil and Environmental Engineering Research
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    • 제14권3호
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    • pp.453-462
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    • 1994
  • Variation of seismic wave field in a multi-layered attenuating elastic half space is studied by the propagator matrix method and point source models of which fault-slip functions are defined as ramp functions. In this paper, the earth is modeled as being composed of horizontally stratified layers, with uniform material properties for each layer. The partial differential equations for the seismic motion in each layer are solved using a Fourier Hankel transform approach. Time histories and frequency contents of accelerations and displacements due to a vertical dip-slip and strike-slip point source located in the underlain half space are calculated at the layer interfaces using the developed programs and their characteristics are represented.

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Extension of the LQR to Accomodate Actuator Saturation Bounds for Flexible Space Structures (제한된 제어입력을 갖는 유연우주구조물에 대한 확장된 LQR)

  • Lee, Sang-Chul
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • 제30권8호
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    • pp.71-77
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    • 2002
  • We consider the simultaneous slewing and vibration suppression control problem of an idealized structural model which has a rigid hub with two cantilevered flexible appendages and finite tip masses. The finite clement method(FEM) is used to obtain linear finite dimensional equations of motion for the model. In the linear quadratic regulator(LQR) problem, a simple method is introduced to provide a physically meaningful performance index for space structure models. This method gives us a mathematically minor but physically important modification of the usual energy type performance index. A numerical procedure to solve a time-variant LQR problem with inequality control constraints is presented using the method of particular solutions.

Development of Piezoelectric Energy Harvesting Device and Experiments (압전체를 이용한 에너지 수집 장치 개발 및 실험)

  • Kim, Ki-Young;Kwak, Moon-K.;Kang, Ho-Yong;Kim, Nae-Soo
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 한국소음진동공학회 2008년도 춘계학술대회논문집
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    • pp.81-89
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    • 2008
  • This paper is concerned with the development of the piezoelectric energy harvesting(PEH) device for ubiquitous sensor node(USN). The USN needs auxiliary power to lengthen its operational life. In this study, the piezoelectric energy harvesting system consisting of a cantilever with a tip mass and piezoelectric wafer was investigated in detail both theoretically and experimentally. The dynamic model for the addressed system was derived using the assumed mode method. The resulting equations of motion were expressed in matrix form, which had never been developed before. The power output characteristics of the PEH was then calculated and discussed. Various experiments were carried out to investigate the charging characteristics of electrical components. Theoretical and experimental results showed that the PEH was able to charge a battery with ambient vibrations but still needed an effective mechanism which can convert mechanical energy to electrical energy and an optimal electric circuit which dissipates small energy.

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Seismic Effect of LRB Base Isolator on Bridges (LRB 기초분리장치의 교량 내진효과)

  • Hwang, Eui Seung
    • KSCE Journal of Civil and Environmental Engineering Research
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    • 제13권5호
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    • pp.13-18
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    • 1993
  • The purpose of this study is to analyze the seismic effects of Lead Rubber Bearing base isolators on bridges. Base isolation is the tool to minimize the effect of earthquake before the seismic force is transfered to the structure. Currently, many structures including the buildings, power plants, and bridges, were built and planned with base isolation method. The simple model is developed for bridges with Lead Rubber Bearings. Equations of motion are solved by Newmark ${\beta}$ method. Springs representing the base isolators are assumed as bilinear springs and piers are modeled as nonlinear springs implementing Q-HYST model. Analysis is performed for the selected bridge. El Centro (N-S) earthquake(1940) is used. Deck displacement, pier ductility and pier shear force are calculated for the various Lead Rubber Bearings.

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Dynamic Modeling of Piezoelectric Energy Harvesting Device and Experiments (압전 에너지 수집 장치의 동적모델링 및 실험)

  • Kwak, Moon-K.;Kim, Ki-Young;Kang, Ho-Yong;Kim, Nae-Soo
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • 제18권6호
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    • pp.632-641
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    • 2008
  • This paper is concerned with the development of the piezoelectric energy harvesting(PEH) device for ubiquitous sensor node(USN). The USN needs auxiliary power to lengthen its operational life. In this study, the piezoelectric energy harvesting system consisting of a cantilever with a tip mass and piezoelectric wafer was investigated in detail both theoretically and experimentally. The dynamic model for the addressed system was derived using the assumed mode method. The resulting equations of motion were expressed in matrix form, which had never been developed before. The power output characteristics of the PEH was then calculated and discussed. Various experiments were carried out to investigate the charging characteristics of electrical components. Theoretical and experimental results showed that the PEH was able to charge a battery with ambient vibrations but still needed an effective mechanism which can convert mechanical energy to electrical energy and an optimal electric circuit which dissipates small energy.

Parametric Study on Dynamic Stability Behaviors of Beck's Column considering Shear Deformation and Damping Effects (전단변형 및 감쇠효과를 고려한 비보존력을 받는 외팔기둥의 동적 안정성거동에 대한 매개변수연구)

  • Lee, Jun-Seok;Kim, Nam-Il;Kim, Moon-Young
    • Journal of the Earthquake Engineering Society of Korea
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    • 제9권6호
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    • pp.1-12
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    • 2005
  • For a shear-deformable beam-column element subjected io non-conservative forces, equations of motion and a finite element formulation are presented applying extended Hamilton's principle. The influence of non-conservative force's direction parameter, internal and external damping forces, and shear deformation and rotary inertia effects on divergence and flutter loads of Beck's columns are intensively investigated based on element stiffness, damping and mass matrixes derived for the non-conservative system.