• 대한기계학회논문집
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• 제10권1호
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• pp.102-109
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• 1986

본 연구에서는 앞의 여러 연구자들이 시도한 3차원 연쇄기구의 운동해석법을 비교 검토하고, 이중 기호방정식을 이용하여 3차원 연쇄기구의 운동해석을 일반화 하고져 한다. 또 품질향상, 대량생산(mass production) 및 생산가 절하를 위해 만족시키기 위해, 기본해석모델인2차원 연쇄기구에서 3차원연쇄기구로 정밀화 하면서, 가능한 모든 3차원 연쇄기구의 복잡화 되고 있는 현대 기계의 운동요구를 만족시키기 위해, 기본해석모델인 2차원 연쇄기구에서 3차원연쇄기구로 정밀화 하면서, 가능한 모든 3차원 연쇄기구의 운동을 해석 하기 위한 일반해석법을 개발하므로써 해석을 일반화 시키고, 그것을 컴퓨터로 시뮬레이션하여 운동해석을 신빙성있고 신속하게 수행토록 하며, 컴퓨터 결과를 실제모형 즉 구면 4-R 연쇄기구, R-S-S-R 기구 및 3C-R 기구등을 제작하여,실제결과와 비교 검토하므로써 개발된 일반운동해석법의 타당성을 실험적으로 입증 비교 검토하므로써 일반운동해석법의 타당성을 실험적으로 입증하려 한다.

• 한국정밀공학회지
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• 제16권4호통권97호
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• pp.26-36
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• 1999

A general procedure for determining the optimum location of suspension hard points with respect to kinematic design parametes is presented. Suspensions are modeled as connection of rigid bodies by ideal kinematic joints. Constraint equations of the kinematic joints are expressed in terms of the generalized coordinates and hard points. By directly differentiating the constraint equations with respect to the hard points, kinematic sencitivity equations are obtained. In order to cope with algebraic complexity associated with the differentiation process, a symbolic computation technique is used. A performance index is defined in terms of static design parameters such as camber, caster, toe, ect.. Gradient of the performance index can be analytically computed from the kinematic sensitivity equations. Optimization results show the effectiveness and validity of the procedure, which is applicable to any type of suspension if its kinematic configurations are given.

• 한국자동차공학회논문집
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• 제4권4호
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• pp.9-17
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• 1996

This paper develops a sequential updating method of the Euler parameter generalized coordinates for the machine kinematics and dynamics, The Newton's method is slightly modified so as to utilize the Jacobian matrix with respect to the virtual rotation instead of this with repect to the Euler parameters. An intermediate variable is introduced and the modified Newton's method solves for the variable first. Relational equation of the intermediate variable is then solved for the Euler parameters. The solution process is carried out efficiently by symoblic inversion of the relational equation of the intermediate variable and the iteration equation of the Euler parameter normalization constraint. The proposed method is applied to a kinematic and dynamic analysis with the Generalized Coordinate Partitioning method. Covergence analysis is performed to guarantee the local convergence of the proposed method. To demonstrate the validity and practicalism of the proposed method, kinematic analysis of a motion base system and dynamic analysis of a vehicle are carried out.

• 제어로봇시스템학회:학술대회논문집
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• 제어로봇시스템학회 2000년도 제15차 학술회의논문집
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• pp.427-427
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• 2000

In this study, singularity of two types of mobile robots for various input joints are investigated: One is the mobile robot with three caster wheels and the other is the mobile robot with two conventional wheels and one caster wheel. Kinematic models are derived via the transfer method of generalized coordinates. Then, determinants of the Jacobian of the mobile robots are used to identify the singularity configurations.

• 대한기계학회논문집
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• 제19권1호
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• pp.271-276
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• 1995

This paper presents a systematic method for the dynamic analysis of flexible mechanical systems containing closed kinematic loops. Kinematics between pairs of contiguous flexible bodies is described with the joint coordinates and the deformation modal coordinates. The cut-joint constraint equations associated with the closed kinematic loops are derived, simply using the geometric conditions. The equations of motions are initially written in terms of the joint and modal coordinates using the velocity transformation technique. Lagrange multipliers associated with the cut-joint constraints for closed-loop systems are then eliminated systematically using the generalized coordinate partitioning method, resulting to a minimal set of equations of motion.

• 제어로봇시스템학회:학술대회논문집
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• 제어로봇시스템학회 2003년도 ICCAS
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• pp.2057-2062
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• 2003

Chained form mobile robots have been studied from the viewpoint of the control and analysis of nonholonomic mechanical systems in literature. However, researches for the detailed closed form kinematic modeling are rarely progressed. Nothing that a chained form mobile robot can be considered as a parallel system including several chains and wheels, the transfer method using augmented generalized coordinates is applied to obtain inverse and forward kinematic models of chained form mobile robots. Various numerical simulations are conducted to verify the effectiveness of the suggested kinematic model.

• 한국자동차공학회논문집
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• 제2권4호
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• pp.80-90
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• 1994

Basic constraint equations derived from orthogonality conditions between a pair of body-fixed vectors and a body-fixed vector or a vector between two bodies are reformulated by using relative coordinate kinematics between two adjacent reference frames. Arithmetic numbers of operations required to compute derivatives of the constraint equations are drastically reduced. A mixed formulation of relative and cartesian coordinates is developed to further simplify derivatives of the constraints. Advantages and disadvantages of the new formulation are discussed. Possible singularity problem of para llelism constraints is resolved by introducing an extra generalized coordinate. Kinematic analysis of a McPherson strut suspension system are carried out to illustrate use and efficiency of the new formulation.

• 대한기계학회:학술대회논문집
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• 대한기계학회 2001년도 춘계학술대회논문집B
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• pp.465-470
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• 2001

This paper presents an algorithm which seeks steady-state equilibrium positions of constrained multibody systems driven by constant generalized speeds. Since the relative coordinates are employed, the constraint equations at cut joints are incorporated into the formulation. The proposed algorithm leads to nonlinear equations that need to be solved iteratively. This algorithm should satisfy both types of conditions: the force equilibrium equations and the kinematic constraint equations. To verify the effectiveness of the proposed algorithm, two numerical examples are solved and the results are compared with those of a commercial program. This method, compared to the conventional method of using dynamic analysis, has the advantage of computational efficiency and stability.

• 한국자동차공학회논문집
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• 제5권1호
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• pp.154-161
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• 1997

This paper presents the method to eliminate the constraint reaction in the Lagrange multiplier form equation of motion by using a generalized coordinate driveder from the velocity constraint equation. This method introduces a matrix method by considering the m dimensional space spanned by the rows of the constraint jacobian matrix. The orthogonal vectors defining the constraint manifold are projected to null vectors by the tangential vectors defined on the constraint manifold. Therefore the orthogonal projection matrix is defined by the tangential vectors. For correcting the generalized position coordinate, the optimization problem is formulated. And this correction process is analyzed by the quasi Newton method. Finally this method is verified through 3 dimensional vehicle model.

• 대한기계학회논문집A
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• 제41권9호
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• pp.869-876
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• 2017

기계시스템을 제어한다든지 그 부재를 설계하기 위하여 그리고 구동기의 용량을 결정하는데 있어서 구동력이나 조인트반력을 해석하는 것이 필요하다. 본 논문은 주어진 시스템의 운동을 구현하는 다양한 형태의 구동조건에 따른 구동력(또는 토크)을 조인트좌표 공간에서 계산하는 알고리즘을 제시한다. 조인트좌표를 기구학적 시스템의 일반좌표로 사용하며 운동방정식과 구속조건의 가속도식은 속도변환법을 이용하여 직교좌표공간으로부터 조인트좌표공간으로 변환한다. 수치예제를 통하여 제시된 알고리즘의 유용성을 확인한다.