• 한국정밀공학회지
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• 제26권8호
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• pp.79-88
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• 2009

This paper presents the analytical stiffness analysis method for a low-DOF planar parallel manipulator. An n-DOF (n<3) planar parallel manipulator to which 1- or 2-DOF serial mechanism is connected in series may be used as a positioning device in planar tasks requring high payload and high speed. Differently from a 3-DOF planar parallel manipulator, an n-DOF planar parallel counterpart may be subject to constraint forces as well as actuation forces. Using the theory of reciprocal screws, the planar stiffness is modeled such that the moving platform is supported by three springs related to the reciprocal screws of actuations (n) and constraints (3-n). Then, the spring constants can be precisely determined by modeling the compliances of joints and links in serial chains. Finally, the stiffness of two kinds of 2-DOF planar parallel manipulators with simple and complex springs is analyzed. In order to show the effectiveness of the suggested method, the results of analytical stiffness analysis are compared to those of numerical stiffness analysis by using ADAMS.

• 한국소음진동공학회논문집
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• 제14권2호
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• pp.150-156
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• 2004

In this paper, the dynamic behavior of a very flexible cable due to moving multibody system along its length is presented. The very deformable motion of a cable is presented using absolute nodal coordinate formulation, which is based on the finite element procedures and the general continuum mechanics theory to represent the elastic forces. Formulation for the sliding joint between a very flexible beam and a rigid body is derived. In order to formulate the constraint equations of this joint, a non-generalized coordinate, which has no inertia or forces associated with this coordinate, is used. The modeling of this sliding joint is very important to many mechanical applications such as the ski lifts. cable cars, and pulley systems. A multibody system moves along an elastic cable using this sliding joint. A numerical example is shownusing the developed analysis program for flexible multibody systems that include a large deformable cable.

• 한국강구조학회 논문집
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• 제15권5호통권66호
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• pp.551-559
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• 2003

강골조의 보-기둥 접합부에 대한 해석과 설계는 일반적으로 완전한 강접이나 마찰이 없는 완전한 핀접합으로 가정하는 것이 보통이다. 이러한 경우, 구조해석 및 설계과정을 단순화시키는 장점은 있으나, 실제 철골 접합부에서는 작용하중에 대하여 어느 정도의 모멘트 전달과 회전구속력을 갖는 반강접으로 해석해야 하므로 실제와는 다소 차이가 날 수 있다. 이에, 본 연구에서는 고정계수에 의한 기둥-보 접합부의 반강접성과 P-delta효과를 고려한 골조의 비선형 해석 프로그램을 작성하고, 수치해석을 통해 평면 강골조의 변형과 내력에 미치는 접합강성의 영향을 검토하였으며, 상용의 해석프로그램인 MIdas Gen과 비교하였다.

• 한국공간구조학회논문집
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• 제8권1호
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• pp.49-56
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• 2008

텐세그리티 구조물의 설계를 위한 다목적 최적화 기법이 제시되었다. 구조물의 기하가 먼저 주어지며, 설계변수는 부재력이다. 목적함수는 최대 강성매트릭스에 대한 최저 고유치와 찾고자 하는 목표값으로부터 가장 근접하게 일치하는 부재력이다. 복수의 목적함수 문제가 구속조건을 도입하여 일련의 단일 목적함수 문제로 전환되었다. 본 논문의 타당성을 알아보기 위해 텐세그리티 그리드에 대한 최적해를 구해 보았다.

• 생물환경조절학회지
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• 제25권3호
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• pp.193-199
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• 2016

본 연구에서는 플라스틱 온실에서 사용하는 죔쇠의 성능 평가 시 시험편 끝단의 구속조건이 미끄럼 저항력에 미치는 영향을 분석하기 위해 시험편 구속조건을 실험변수로 판형죔쇠의 미끄럼 저항력을 측정하였다. 각 구속조건별로 측정한 미끄럼 저항력의 평균값은 서까래 고정-고정단이 가장 컸으며, 내재해형 죔쇠의 평가 기준 값과 비교한 결과에서도 서까래 고정-고정단의 경우에만 기준을 만족하는 것으로 나타났다. 그러나 서까래 고정-고정단 구속조건은 다른 구속조건들에 비해 산포도가 상대적으로 크게 나타나 신뢰성이 떨어지는 결과를 보였다. 또한, 일원분산 분석결과에서도 서까래 고정-고정단은 다른 구속조건들과 비교해 미끄럼 저항력이 유의한 차이를 보였다. 따라서 시험편 구속조건이 미끄럼 저항력 평가에 영향을 미친다고 판단하며 연구자 및 기술자들이 죔쇠의 미끄럼 저항력을 측정할 때에는 시험편의 구속조건이 결과값의 신뢰성에 미치는 영향을 면밀히 검토해야 할 것으로 판단된다.

• 제어로봇시스템학회:학술대회논문집
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• 제어로봇시스템학회 2005년도 ICCAS
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• pp.631-637
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• 2005

This paper presents a stiffness analysis method for a low-DOF parallel manipulator, which takes into account of elastic deformations of joints and links. A low-DOF parallel manipulator is defined as a spatial parallel manipulator which has less than six degrees of freedom. Differently from the case of a 6-DOF parallel manipulator, the serial chains in a low-DOF parallel manipulator are subject to constraint forces as well as actuation forces. The reaction forces due to actuations and constraints in each limb can be determined by making use of the theory of reciprocal screws. It is shown that the stiffness model of an F-DOF parallel manipulator consists of F springs related to the reciprocal screws of actuations and 6-F springs related to the reciprocal screws of constraints, which connect the moving platform to the fixed base in parallel. The $6{times}6$ stiffness matrix is derived, which is the sum of the stiffness matrices of actuations and constraints. The six spring constants can be precisely determined by modeling the compliance of joints and links in a serial chain as follows; the link can be considered as an Euler beam and the stiffness matrix of rotational or prismatic joint can be modeled as a $6{times}6$ diagonal matrix, where one diagonal element about the rotation axis or along the sliding direction is zero. By summing the elastic deformations in joints and links, the compliance matrix of a serial chain is obtained. Finally, applying the reciprocal screws to the compliance matrix of a serial chain, the compliance values of springs can be determined. As an example of explaining the procedure, the stiffness of the Tricept parallel manipulator has been analyzed.

• 제어로봇시스템학회논문지
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• 제13권4호
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• pp.320-328
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• 2007

This paper presents a stiffness modeling of a low-DOF parallel robot, which takes into account of elastic deformations of joints and links, A low-DOF parallel robot is defined as a spatial parallel robot which has less than six degrees of freedom. Differently from serial chains in a full 6-DOF parallel robot, some of those in a low-DOF parallel robot may be subject to constraint forces as well as actuation forces. The reaction forces due to actuations and constraints in each serial chain can be determined by making use of the theory of reciprocal screws. It is shown that the stiffness of an F-DOF parallel robot can be modeled such that the moving platform is supported by 6 springs related to the reciprocal screws of actuations (F) and constraints (6-F). A general $6{\times}6$ stiffness matrix is derived, which is the sum of the stiffness matrices of actuations and constraints, The compliance of each spring can be precisely determined by modeling the compliance of joints and links in a serial chain as follows; a link is modeled as an Euler beam and the compliance matrix of rotational or prismatic joint is modeled as a $6{\times}6$ diagonal matrix, where one diagonal element about the rotation axis or along the sliding direction is infinite. By summing joint and link compliance matrices with respect to a reference frame and applying unit reciprocal screw to the resulting compliance matrix of a serial chain, the compliance of a spring is determined by the resulting infinitesimal displacement. In order to illustrate this methodology, the stiffness of a Tricept parallel robot has been analyzed. Finally, a numerical example of the optimal design to maximize stiffness in a specified box-shape workspace is presented.

• 대한기계학회논문집
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• 제7권1호
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• pp.52-63
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• 1983

The purpose of the study is to find development of contact area, contact pressure and friction forces occurring at joints or connection areas inbetween structural members or mechanical parts. The problem has a pair of difficulties intrinsically; a constraint of displacement due to contact, and presence of work term by nonconservative friction force in the variational principle of the problem. Because of these difficulties, the variational principle remains in the form of inequality. It is resolved by penalty method and perturbation method making the inequality to an equality which is proper for computational purposes. A contact problem without friction is solved to find contact area and contact pressure, which are to be used as data for the analysis of the friction problem using perturbed variational principle. For numerical experiments, a Hertz problem, a rigid punch problem, and the latter one with friction effects are solved using $Q_2$-finite elements.

• 한국공작기계학회:학술대회논문집
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• 한국공작기계학회 1997년도 추계학술대회 논문집
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• pp.304-309
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• 1997

Elastic elements, at first, were extensively used in suspensions as vibration isolators at joints. Nowadays they are used to improve stability and handling. The design of these elements has become a very important matter since the loading condition of the mechanism gives a mew suspension geometry without any modification. This paper presents an analysis of forces and moments of joints with elastic elements in the McPherson suspension mechanism to evaluate accurately the elastic deformation using the displacement matrix method in conjunction with the equilibrium equations. First the suspension is modeled as a multi-loop spatial rigid-body guidance mechanism which has elastic elements at the hardpoints of the suspension. Then a method and design euqations are developed to analyze the suspension characteristics by the various tire load. Also the displacement matrices and constraint equations for links are appllied to determine the sensitivity of the suspension mechanism. Finally this approach may conduct a realistic design of suspension mechanisms with elastic elements to improve the performance of the automobile under various driving conditions.

• International Journal of Automotive Technology
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• 제6권4호
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• pp.375-381
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• 2005

This paper presents linear algebraic equations in the form of recursive formula to compute elastokinematic characteristics of a suspension system. Conventional methods of elastokinematic analysis are based on nonlinear kinematic constrant equations and force equilibrium equations for constrained mechanical systems, which require complicated and time-consuming implicit computing methods to obtain the solution. The proposed linearized elastokinematic equations in the form of recursive formula are derived based on the assumption that the displacements of elastokinematic behavior of a constrained mechanical system under external forces are very small. The equations can be easily computerized in codes, and have the advantage of sharing the input data of existing general multi body dynamic analysis codes. The equations can be applied to any form of suspension once the type of kinematic joints and elastic components are identified. The validity of the method has been proved through the comparison of the results from established elastokinematic analysis software. Error estimation and analysis due to piecewise linear assumption are also discussed.