• 한국철도학회논문집
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• 제2권1호
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• pp.47-55
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• 1999

In this paper, an efficient and accurate formulation for the transient analysis of constrained multibody systems is presented. The formulation employs Kane's method along with the null space method. Kane's method reduces the dimension of equations of motion by using partial velocity matrix: it can improve the efficiency of the formulation. Furthermore, the formulation partitions the coefficient matrix of linear and nonlinear equations into several sub-matrices using kinematic uncoupling. This can solve the equations more efficiently. The proposed formulation can be used to perform dynamic analysis of systems which can be partitioned into several sub-systems such as train systems. One numerical example is given to demonstrate the efficiency and accuracy of the formulation, and another numerical example is given to show its application to the train systems.

• 대한기계학회논문집A
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• 제21권12호
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• pp.2156-2164
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• 1997

A new formulation for the dynamic analysis of constrained multibody systems is presented in this paper. The formulation employs Kane's method along with the null space method. Kane's method reduces the dimension of equations of motion by using partial velocity matrix introduced in this study : it can improve the efficiency of the formulation. Three numerical examples are given to demonstrate the accuracy and efficiency of the formulation.

• 한국자동차공학회논문집
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• 제6권3호
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• pp.169-176
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• 1998

A method for the dynamic analysis of multibody systems undertaking impulsive force is introduced in this paper. A partial velocity matrix based on Kane's method is introduced to reduce the number of equations to be solved. Only minimum number of equations of motion can be obtained by using the partial velocity matrix. This reduces the computational effort significantly to obtain the dynamic response of the system. At the very moment of the impulse, instead of using the numerical integrator to solve the equations of motion, the impulse and momentum principle is used to obtain the dynamic response. The impulse as wall as the reaction force acting on the kinematic joints can easily calculated too.

• 한국추진공학회지
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• 제13권3호
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• pp.41-49
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• 2009

본 논문은 공기흡입식 추진기관의 고체 로켓 부스터 분리에 관한 수학적 모델링과 시뮬레이션 기법을 기술하였다. 비행체 및 부스터는 하나의 다물체(multi-body)로 고려하였고 부스터는 단지 비행체의 축 방향으로 움직이는 것으로 가정하였다. 비행체 및 부스터의 동적 운동은 Kane 방법에 의해 모델링 되었다. 다양한 부스터 위치에 따라 전체 시스템에 작용하는 공력은 DATCOM 소프트웨어를 사용하여 산출되었으며 부스터 분리 유효 작용면에 작용하는 내부 분리 압력은 일반적인 기체역학 및 Taylor-MacColl 관계식에 의해 산출되었다. 수치적 해석은 Mathworks사의 Matlab이 사용되었다. 해석 결과에 의하면 부스터 분리 동안 마하수 및 받음각 변화 등은 크지 않는 것으로 나타났으며, 실제 시험 장치를 이용한 부스터 분리 시험이 진행될 경우 자세 각 변화, 흡입 유동 특성 등은 무시할 만한 수치임을 확인할 수 있었다.

• 항공우주시스템공학회지
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• 제16권3호
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• pp.63-72
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• 2022

본 논문에서는 전개형 메쉬 안테나의 동적 강성 설계 및 다물체 동역학을 이용한 요구되는 구동력 및 전개 특성을 분석하고자 한다. 프레임(frame) 요소를 이용하여 전개 구조물을 모델링한다. 다각(polygon) 형상 전개 구조물의 전개/수납된 형상에 따른 고유치 문제를 분석하였다. Kane's 방정식을 이용하여 전개 구조물의 다물체 동역학 방정식을 유도하고 PUTD (pseudo upper triangular decomposition) 방법을 적용하여 구속조건 문제를 해결하였다. 고유진동 해석 및 다물체 동역학 시뮬레이션을 통해 설계된 전개형 구조의 구조 동특성 및 실현성을 살펴보고자 한다.

• 한국철도학회:학술대회논문집
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• 한국철도학회 1998년도 추계학술대회 논문집
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• pp.437-444
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• 1998

In this paper, an efficient and accurate formulation for the transient analysis of constrained multibody systems is presented. The formulation employs Kane's method along with the null space method. Kane's method reduces the dimension of equations of motion by using partial velocity matrix: it can improve the efficiency of the formulation. Furthermore, the formulation partitions the coefficient matrix of linear and nonlinear equations into several sub-matrices using kinematic uncoupling. This can solve the equations more efficiently. The proposed formulation can be used to perform dynamic analysis of systems which can he partitioned into several sub-systems such as train systems. One numerical example is given to demonstrate the efficiency and accuracy of the formulation, and another numerical example is given to show its application to the train systems.

• 한국항공우주학회지
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• 제50권10호
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• pp.691-699
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• 2022

본 논문에서는 대형 메쉬 안테나 개발을 위한 모듈식 전개형 반사판 및 붐 구조의 전개 시 요구되는 구동력 및 전개 특성을 분석하고자 한다. 단위 전개 구조를 이용하여 모듈식 전개형 반사판 링과 붐 구조의 수납/전개된 형상을 분석하였다. Kane's 방정식을 이용하여 전개 구조물의 다물체 동역학 방정식을 유도하고 PUTD(Pseudo Upper Triangular Decomposition) 방법을 적용하여 구속조건 문제를 해결하였다. 다물체 동역학 시뮬레이션을 통해 설계된 모듈식 전개 반사판 링 그리고 붐 구조의 동적 특성을 살펴보고자 한다.

• 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.

• 한국광학회:학술대회논문집
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• 한국광학회 2005년도 제16회 정기총회 및 동계학술발표회
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• pp.290-291
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• 2005

We have presented a comprehensive effective-mass Hamiltonian for strained Wurtzite semiconductors using k${\cdot}$p method and Kane's model. This theoretical groundwork provides a foundation for investigating the electrical and optical properties of wurtzite strained quantum-well lasers.

• 대한기계학회:학술대회논문집
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• 대한기계학회 2007년도 춘계학술대회A
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• pp.1045-1050
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• 2007

Equations of motion of rotating cantilever curved beams are derived based on a dynamic modeling method developed in this paper. The Kane's method is employed to derive the equations of motion. Different from the classical linear modeling method which employs two cylindrical deformation variables, the present modeling method employs a non-cylindrical variable along with a cylindrical variable to describe the elastic deformation. The derived equations (governing the stretching and the bending motions) are coupled but linear. So they can be directly used for the vibration analysis. The coupling effect between the stretching and the bending motions which could not be considered in the conventional modeling method is considered in this modeling method. The natural frequencies of the rotating curved beams versus the rotating speed are calculated for various radii of curvature and hub radius ratios.