• 제목/요약/키워드: Equation of Motion Solution

검색결과 285건 처리시간 0.035초

방수형 로봇팔의 설계, 실험 및 제어 연구 (A study on design, experiment control of the waterproof robot arm)

  • 하지훈;주영도;김동희;김준영;최형식
    • Journal of Advanced Marine Engineering and Technology
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    • 제38권6호
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    • pp.648-657
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    • 2014
  • 본 논문에서는 화재나 홍수로 인하여 침수된 건물 내부를 탐사할 수 있는 새로운 방수형 4축 로봇팔을 설계하고 로봇의 기구학 및 동역학 해석을 수행한다. 로봇팔은 카메라를 이용한 탐사를 위한 Pitch-Pitch-Pitch-Yaw 4축 구조로 설계하고, 이를 구동하기 위한 관절구동기의 용량을 선정한다. 또한 수심 10m의 방수가능한 관절구동기를 설계 하고 실제 구동시험을 통하여 방수성능을 검증한다. 설계한 로봇팔의 순기구학 및 역기구학 식의 해석을 통해 닫힌 해를 유도하며, 메커니컬실의 마찰력을 고려한 로봇팔의 운동방정식을 뉴턴-오일러 방법에 의해 유도한다. 유도한 동역학식을 이용하여 개발한 로봇이 목표궤적을 잘 추종할 수 있도록 슬라이딩모드 제어기를 설계하고, 시뮬레이션을 통해 그 성능을 확인한다.

Time-domain coupled analysis of curved floating bridge under wind and wave excitations

  • Jin, Chungkuk;Kim, MooHyun;Chung, Woo Chul;Kwon, Do-Soo
    • Ocean Systems Engineering
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    • 제10권4호
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    • pp.399-414
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    • 2020
  • A floating bridge is an innovative solution for deep-water and long-distance crossing. This paper presents a curved floating bridge's dynamic behaviors under the wind, wave, and current loads. Since the present curved bridge need not have mooring lines, its deep-water application can be more straightforward than conventional straight floating bridges with mooring lines. We solve the coupled interaction among the bridge girders, pontoons, and columns in the time-domain and to consider various load combinations to evaluate each force's contribution to overall dynamic responses. Discrete pontoons are uniformly spaced, and the pontoon's hydrodynamic coefficients and excitation forces are computed in the frequency domain by using the potential-theory-based 3D diffraction/radiation program. In the successive time-domain simulation, the Cummins equation is used for solving the pontoon's dynamics, and the bridge girders and columns are modeled by the beam theory and finite element formulation. Then, all the components are fully coupled to solve the fully-coupled equation of motion. Subsequently, the wet natural frequencies for various bending modes are identified. Then, the time histories and spectra of the girder's dynamic responses are presented and systematically analyzed. The second-order difference-frequency wave force and slowly-varying wind force may significantly affect the girder's lateral responses through resonance if the bridge's lateral bending stiffness is not sufficient. On the other hand, the first-order wave-frequency forces play a crucial role in the vertical responses.

LES와 One Equation Dynamic Smagorinsky 난류모형을 이용한 Beach Cusps 쇄파역에서의 경계층 Streaming 수치해석 (Numerical Analysis of the Hydraulic Characteristics of a Boundary Layer Streaming over Beach Cusps Surf-Zone Using LES and One Equation Dynamic Smagorinsky Turbulence Model)

  • 조용준
    • 한국해안·해양공학회논문집
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    • 제32권1호
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    • pp.55-68
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    • 2020
  • 너울이 우세한 온화한 해양환경에서 출현하는 beach cusp에서의 경계층 streaming 수리특성을 살펴보기 위해 edge waves의 천수 과정을 수치 모의하였다. Beach cusp을 유지하는 것으로 알려진 synchronous edge waves는 같은 주기와 파고를 지니는 두 개의 Cnoidal wave가 전면해역에서 비스듬히 조우 되도록 조파하여 재현하였다. Beach cusp의 진폭 AB과 파장 LB은 맹방 해변에서 수행된 관측결과를 토대로 각각 1.25 m, 18 m로 선정하였다. 모의결과 천수 각 단계에서 예외 없이 경계층 streaming을 관측할 수 있었으며 최대 경계층 streaming은 사주 정점에서 발생하였다. 주기가 가장 짧은 RUN 1의 경우 그 세기는 약 0.32 m/s 내외에 분포하며 이러한 수치는 free stream 유속 u 진폭의 두 배에 달하는 것으로 wave Reynolds 응력에 기반한 Longuet-Higgins(1957)의 해석 해와는 상당한 차이를 보였다. 수치 모의과정에서 온화한 해양환경에서 해빈이 복원되는 과정을 특정할 수 있었으며 이 과정을 정리하면 다음과 같다: 너울로 구성된 파랑 무리에서 성분 파랑 간의 공진성 상호작용으로 생성된 외 중력파가 쇄파선 인근에 도달하는 경우 중력으로 인한 가속이 더해진 Phase II 파랑 궤도 운동으로 수면 가까이 상승한 많은 모래가 쇄파 시 발생하는 파 마루로부터 시작된 up-rush에 의해 전 빈 정점 가까이 이동하며 이 과정에서 발생하는 침투로 인해 퇴적되는 것으로 모의 되었다.

라그랑지 방법을 이용할 철봉 몸굽혀 휘돌기 동작의 시뮬레이션 (Simulation of Scooped Swing in High Bar Using Lagrange's Method : A Case Study)

  • 하종규
    • 한국콘텐츠학회논문지
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    • 제7권4호
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    • pp.234-240
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    • 2007
  • 이 연구는 철봉 몸굽혀 휘돌기 동작의 최적 모델을 구축하는 것이다. 연구 대상자는 국가대표 남자체조선수(나이 18세, 신장 153cm, 질량 48kg) 1명을 선정하였고, K대학교 체조장에 기 설치된 Spieth사의 철봉을 이용하여 실험하였다. 먼저 대상자에게 연구의 목적과 주의 사항을 주지시키고 사전 서면동의를 받은 후 실험을 실시하였다. 인체를 2분절로 모형화한 몸 굽혀 휘돌기 동작의 영상분석을 위하여 Qualisys사의 카메라(MCU-240) 6대와 소프트웨어인 QTM(Qualisys Track Mannager)을 사용하였다. 이 동작을 이중진자(HAT/total leg)로 모형화하고 라그랑지 운동방정식의 파라메터에 실험에서 획득한 수치를 입력하여 시뮬레이션하였다. 데이터 처리와 모델(미분 연립 방정식)의 해는 Mathematicas5.0으로 프로그래밍하여 구하였다. 분석변인에 대한 모델치와 실험치의 비교 결과는 첫째, 철봉의 최대변위는 모델치(약 0.18 m)가 실험치(약 0.16 m)보다 약 0.02m 더 크게 나타났다. 둘째, 분절1(HAT)의 각변위 패턴은 모두 증가곡선을 보였으나 변곡점의 차이가 나타났다. 셋째, 분절2(total leg)의 각변위 패턴은 전반적으로 유사하게 나타났으나 최대 각은 약 $4^{\circ}$ 차이를 보였다. 결론적으로 실험치와 일치하는 최적모델을 도출하지는 못하였지만 라그랑지 모델을 통한 시뮬레이션의 가능성을 제시하였다. 향후 제한된 2분절 모형을 3, 4분절 모델로 확장하고 생체물성(근골격계)을 정확하게 표현하는 물리적 도구를 개발하는 연구와 인체시스템을 근골격계와 근신경계을 통합한 모델구축이 이루어져야 하겠다.

역도 인상동작 성공 시 최대 바벨무게 예측 (The Forecasting a Maximum Barbell Weight of Snatch Technique in Weightlifting)

  • 하종규;류지선
    • 한국운동역학회지
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    • 제15권3호
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    • pp.143-152
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    • 2005
  • The purpose of this study was to predict the failure or success of the Snatch-lifting trial as a consequence of the stand-up phase simulated in Kane's equation of motion that was effective for the dynamic analysis of multi-segment. This experiment was a case study in which one male athlete (age: 23yrs, height: 154.4cm, weight: 64.5kg) from K University was selected The system of a simulation included a multi-segment system that had one degree of freedom and one generalized coordinate for the shank segment angle. The reference frame was fixed by the Nonlinear Trans formation (NLT) method in order to set up a fixed Cartesian coordinate system in space. A weightlifter lifted a 90kg-barbell that was 75% of subject's maximum lifting capability (120kg). For this study, six cameras (Qualisys Proreflex MCU240s) and two force-plates (Kistler 9286AAs) were used for collecting data. The motion tracks of 11 land markers were attached on the major joints of the body and barbell. The sampling rates of cameras and force-plates were set up 100Hz and 1000Hz, respectively. Data were processed via the Qualisys Track manager (QTM) software. Landmark positions and force-plate amplitudes were simultaneously integrated by Qualisys system The coordinate data were filtered using a fourth-order Butterworth low pass filtering with an estimated optimum cut-off frequency of 9Hz calculated with Andrew & Yu's formula. The input data of the model were derived from experimental data processed in Matlab6.5 and the solution of a model made in Kane's method was solved in Matematica5.0. The conclusions were as follows; 1. The torque motor of the shank with 246Nm from this experiment could lift a maximum barbell weight (158.98kg) which was about 246 times as much as subject's body weight (64.5kg). 2. The torque motor with 166.5 Nm, simulated by angular displacement of the shank matched to the experimental result, could lift a maximum barbell weight (90kg) which was about 1.4 times as much as subject's body weight (64.5kg). 3. Comparing subject's maximum barbell weight (120kg) with a modeling maximum barbell weight (155.51kg) and with an experimental maximum barbell weight (90kg), the differences between these were about +35.7kg and -30kg. These results strongly suggest that if the maximum barbell weight is decided, coaches will be able to provide further knowledge and information to weightlifters for the performance improvement and then prevent injuries from training of weightlifters. It hopes to apply Kane's method to other sports skill as well as weightlifting to simulate its motion in the future study.

스텝 하중을 받는 공간 트러스 시스템의 멀티스텝 테일러 급수 해석과 동적 불안정 (Dynamic Instability and Multi-step Taylor Series Analysis for Space Truss System under Step Excitation)

  • 이승재;손수덕
    • 한국강구조학회 논문집
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    • 제24권3호
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    • pp.289-299
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    • 2012
  • 본 연구의 목적은 비선형 불연속 시스템인 공간 트러스에 멀티스텝 테일러 해법을 적용하는 것과 비선형 동적 응답 및 불안정 특성을 분석하는 것이다. 해석적 접근에 기초한 보다 정밀한 해는 공간 구조물의 역 문제나 또는 불안정 문제를 다루는데 매우 필요하며, 이는 지배방정식의 비선형성에 기인한다. 따라서 기하학적 비선형을 고려하여 지배 운동 방정식을 유도하였으며, 테일러 해법을 이용하여 정밀한 해석적 해를 구하였다. 해석 방법의 정밀도 검증을 위해서 단일자유도 모델을 채택하였으며, 테일러 해법을 이용한 결과를 4차 룬게-쿠타 법과 비교하였다. 또한, 스텝 하중을 받는 모델의 동적 불안정과 좌굴 특성을 고찰하였다. 두 해석 방법의 비교 결과는 매우 잘 일치하였고, 동적 응답과 위상공간에서의 끌개는 스텝하중 아래에서의 동적 좌굴 현상과, 모델에 감쇠가 미치는 영향을 잘 설명할 수 있음을 보여주었다. 해석결과에서 비감쇠 시스템과 감쇠 시스템의 동적 좌굴 하중 레벨은 각각 정적 좌굴 하중 레벨의 약 77%와 83%의 범위로 나타났다.

상용 CFD 프로그램을 사용한 베인형 관성분리기의 설계인자 영향 검토 (Study on the Effect of Design Parameters of the Vane Type Inertial Separator Using Commercial CFD Code)

  • 이답연;류재문
    • 대한조선학회논문집
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    • 제54권6호
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    • pp.470-475
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    • 2017
  • Since the intake air of gas turbine engine of marine purpose contains water particles, inertial separator for separating the air and water particles are provided. Saw type and wave type separator are now used to separate inflow water particle from the gas. In this paper, the design parameters of saw type separator are studied by numerical simulations. Using the commercial CFD program, Star-CCM+, Lagrangian-Eulerian method was used to perform the analysis of two phase flow of the mist in the air. This method solves Reynolds-Averaged Navier-Stokes equations in Eulerian framework for the continuous phase, while solves equation of motion for individual particles in Lagrangian framework. Lagrangian multiphase method was applied to monitor the particles of different sizes and shapes and to verify collision between particles by chasing particles. Water particles were injected through injectors located at the inlet of the separator and escape mode was used which assumes that the particles attached on the surface of inertial separator were removed from the simulation, effectively escaping the solution domain. Through the numerical computations with the inlet condition of constant water particle size in the wetness fraction of 85%, efficiency of eliminating the water particle and the pressure drop between the inlet and outlet were examined.

Investigation of dynamic response of "bridge girder-telpher-load" crane system due to telpher motion

  • Maximov, Jordan T.;Dunchev, Vladimir P.
    • Coupled systems mechanics
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    • 제7권4호
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    • pp.485-507
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    • 2018
  • The moving load causes the occurrence of vibrations in civil engineering structures such as bridges, railway lines, bridge cranes and others. A novel engineering method for separation of the variables in the differential equation of the elastic line of Bernoulli-Euler beam has been developed. The method can be utilized in engineering structures, leading to "a beam under moving load model" with generalized boundary conditions. This method has been implemented for analytical study of the dynamic response of the metal structure of a single girder bridge crane due to the telpher movement along the bridge girder. The modeled system includes: a crane bridge girder; a telpher, moving with a constant horizontal velocity; a load, elastically fixed to the telpher. The forced vibrations with their own frequencies and with a forced frequency, due to the telpher movement, have been analyzed. The loading resulting from the telpher uniform movement along the bridge girder is cyclical, which is a prerequisite for nucleation and propagation of fatigue cracks. The concept of "dynamic coefficient" has been introduced, which is defined as a ratio of the dynamic deflection of the bridge girder due to forced vibrations, to the static one. This ratio has been compared with the known from the literature empirical dynamic coefficient, which is due to the telpher track unevenness. The introduced dynamic coefficient shows larger values and has to be taken into account for engineering calculations of the bridge crane metal structure. In order to verify the degree of approximation, the obtained results have been compared with FEM outcomes. An additional comparison has been made with the exact solution, proposed by Timoshenko, for the case of simply supported beam subjected to a moving force. The comparisons show a good agreement.

A novel hyperbolic plate theory including stretching effect for free vibration analysis of advanced composite plates in thermal environments

  • Elmascri, Setti;Bessaim, Aicha;Taleb, Ouahiba;Houari, Mohammed Sid Ahmed;Mohamed, Sekkal;Bernard, Fabrice;Tounsi, Abdelouahed
    • Structural Engineering and Mechanics
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    • 제75권2호
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    • pp.193-209
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    • 2020
  • This paper presents a new hyperbolic shear deformation plate theory including the stretching effect for free vibration of the simply supported functionally graded plates in thermal environments. The theory accounts for parabolic distribution of the transverse shear strains and satisfies the zero traction boundary conditions on the surfaces of the plate without using shear correction factors. This theory has only five unknowns, which is even less than the other shear and normal deformation theories. The present one has a new displacement field which introduces undetermined integral variables. Material properties are assumed to be temperature-dependent, and graded in the thickness direction according to a simple power law distribution in terms of the volume power laws of the constituents. The equation of motion of the vibrated plate obtained via the classical Hamilton's principle and solved using Navier's steps. The accuracy of the proposed solution is checked by comparing the present results with those available in existing literature. The effects of the temperature field, volume fraction index of functionally graded material, side-to-thickness ratio on free vibration responses of the functionally graded plates are investigated. It can be concluded that the present theory is not only accurate but also simple in predicting the natural frequencies of functionally graded plates with stretching effect in thermal environments.

Parametric study of the wave dispersion in the hydro-elastic system consisting of an inhomogeneously prestressed hollow cylinder containing compressible inviscid fluid

  • Surkay D. Akbarov;Gurbaneli J. Veliyev
    • Coupled systems mechanics
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    • 제12권1호
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    • pp.41-68
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    • 2023
  • The present work is concerned with the study of the influence of inhomogeneous initial stresses in a hollow cylinder containing a compressible inviscid fluid on the propagation of axisymmetric longitudinal waves propagating in this cylinder. The study is carried out using the so-called three-dimensional linearized theory of elastic waves in bodies with initial stresses to describe the motion of the cylinder and using the linearized Euler equations to describe the flow of the compressible inviscid fluid. It is assumed that the inhomogeneous initial stresses in the cylinder are caused by the internal pressure of the fluid. To solve the corresponding eigenvalue problem, the discrete-analytic solution method is applied and the corresponding dispersion equation is obtained, which is solved numerically, after which the corresponding dispersion curves are constructed and analyzed. To obtain these dispersion curves, parameters characterizing the magnitude of the internal pressure, the ratio of the sound velocities in the cylinder material and in the fluid, and the ratio of the material densities of the fluid and the cylinder are introduced. Based on these parameters, the influence of the inhomogeneous initial stresses in the cylinder on the dispersion of the above-mentioned waves in the considered hydro-elastic system is investigated. Moreover, based on these results, appropriate conclusions about this influence are drawn. In particular, it is found that the character of the influence depends on the wavelength. Accordingly, the inhomogeneous initial stresses before (after) a certain value of the wavelength lead to a decrease (increase) of the wave propagation velocity in the zeroth and first modes.