• 제목/요약/키워드: System of Rigid Bodies

검색결과 86건 처리시간 0.018초

A Computer Method for the Dynamic Analysis of a System of Rigid Bodies in Plane Motion

  • Attia, Hazem-Ali
    • Journal of Mechanical Science and Technology
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    • 제18권2호
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    • pp.193-202
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    • 2004
  • This paper presents a computer method for the dynamic analysis of a system of rigid bodies in plane motion. The formulation rests upon the idea of replacing a rigid body by a dynamically equivalent constrained system of particles. Newton's second law is applied to study the motion of the resulting system of particles without introducing any rotational coordinates. A velocity transformation is used to transform the equations of motion to a reduced set. For an open-chain, this process automatically eliminates all of the non-working constraint forces and leads to an efficient integration of the equations of motion. For a closed-chain, suitable joints should be cut and few cut-joints constraint equations should be included. An example of a closed-chain is used to demonstrate the generality and efficiency of the proposed method.

생산자동화 시스템을 위한 산업용 로봇의 운전특성 시뮬레이션에 관한 연구 (A Study on the Simulation of Operational Characteristics of Industrial Robot for Automated Manufacturing System)

  • 김진광
    • 한국산업융합학회 논문집
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    • 제20권5호
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    • pp.405-410
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    • 2017
  • This paper deals with 3D simulation of industrial robot for automated manufacturing system. In order to evaluate the operational characteristics of the industrial robot system in the worst case motion scenario, flexible - rigid multibody analysis was performed. Then, the rigid body dynamics analysis was performed and the results were compared with the flexible - rigid multibody analysis. Modal analysis was also performed to confirm the dynamic characteristics of the robot system. In the case of the flexible-rigid multibody simulation, only the structural members of interest were modeled as elastic bodies to confirm the stress state. The remaining structural members were modeled as rigid bodies to reduce computer resources.

선형방정식의 재구성을 통한 강체 다관절체 충돌반응 속도 개선 (Faster Collision Response for Rigid Articulated Bodies by Reformulating Linear Equations)

  • 정대현;이중하;김은주;유관우
    • 한국멀티미디어학회논문지
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    • 제9권5호
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    • pp.554-563
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    • 2006
  • 본 논문에서는 물리기반 모델링에서 강체로 이루어진 다관절체 충돌반응을 선형시간에 처리할 수 있는 기법을 제시한다. 다관절체의 위상과 선형방정식에서의 행렬의 특성을 이용하여, 충돌반응과정에서 핵심 요소인 선형방정식의 해를 구하는 과정을 선형시간에 처리한다. 또한, 새로운 조인트의 조건식들을 제시하여, 다양한 조인트들로 구성된 다관절체 대해서도 충돌 반응을 가능하게 한다.

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Dynamic Modelling of Planar Mechanisms Using Point Coordinates

  • Attia, Hazem-Ali
    • Journal of Mechanical Science and Technology
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    • 제17권12호
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    • pp.1977-1985
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    • 2003
  • In the present study, the dynamic modelling of planar mechanisms that consist of a system of rigid bodies is carried out using point coordiantes. The system of rigid bodies is replaced by a dynamically equivalent constrained system of particles. Then for the resulting equivalent system of particles, the concepts of linear and angular momentums are used to generate the equations of motion without either introducing any rotational coordinates or distributing the external forces and force couples over the particles. For the open loop case, the equations of motion are generated recursively along the open chains. For the closed loop case, the system is transformed to open loops by cutting suitable kinematic joints with the addition of cut-joints kinematic constraints. An example of a multi-branch closed-loop system is chosen to demonstrate the generality and simplicity of the proposed method.

연체압측정기를 이용한 연체 사이의 압력 측정 (Measurement of the pressure between elastic bodies and between an elastic and a rigid body using elastic-body pressure meter)

  • 김운회;박경수
    • 대한인간공학회지
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    • 제8권2호
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    • pp.43-47
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    • 1989
  • An instrumentation system to measure the pressure between elastic bodies and between an elastic and a rigid body has been developed. The force between elastic bodies can be measured only by Elastric- body pressure Meter. As a standard Elastic-body pressure Meter, Model RCG-24A consists of 24 pick-ups, one switch box and one amplifier and measuring is possible at each of 24 measuring spots by swithing one to the nest using the switch box. The system can be used in various specialized disciplines, such as ergonomics, anthropometry and biomechanics.

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중복 고유 진동수를 갖는 진동하는 강체-유연체 계의 위상최적설계 (Topology Optimization of a Vibrating System of Rigid and Flexible Bodies for Maximizing Repeated Eigenfrequencies)

  • 안병성;김서인;김윤영
    • 대한기계학회논문집A
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    • 제40권4호
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    • pp.363-372
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    • 2016
  • 강체와 유연체가 혼합된 다종 구조 시스템의 동특성을 개선을 위한 최적화를 수행하는 경우, 일반적으로 그 시스템의 고유 진동수를 높이게 된다. 강체와 유연체의 시스템을 동시에 다루는 위상 최적화 정식화가 있으나, 그 시스템의 고유 진동수를 다룬 연구는 드물며, 특히 목적하는 진동수가 중복 고유 진동수 의 하나로 되는 경우를 다룬 연구는 보고된 바 없다. 본 연구에서는 중복 고유 진동수를 다루어야 하는 경우에 나타나는 수치적 문제를 해결하였으며 그 방법을 활용한 위상최적설계 정식화와 민감도 해석을 제시하였다. 그 다음, 몇 가지 수치 예제를 통해 제안된 정식화의 타당성을 검증해 보았다.

Dynamic analysis of deployable structures using independent displacement modes based on Moore-Penrose generalized inverse matrix

  • Xiang, Ping;Wu, Minger;Zhou, Rui Q.
    • Structural Engineering and Mechanics
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    • 제54권6호
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    • pp.1153-1174
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    • 2015
  • Deployable structures have gained more and more applications in space and civil structures, while it takes a large amount of computational resources to analyze this kind of multibody systems using common analysis methods. This paper presents a new approach for dynamic analysis of multibody systems consisting of both rigid bars and arbitrarily shaped rigid bodies. The bars and rigid bodies are connected through their nodes by ideal pin joints, which are usually fundamental components of deployable structures. Utilizing the Moore-Penrose generalized inverse matrix, equations of motion and constraint equations of the bars and rigid bodies are formulated with nodal Cartesian coordinates as unknowns. Based on the constraint equations, the nodal displacements are expressed as linear combination of the independent modes of the rigid body displacements, i.e., the null space orthogonal basis of the constraint matrix. The proposed method has less unknowns and a simple formulation compared with common multibody dynamic methods. An analysis program for the proposed method is developed, and its validity and efficiency are investigated by analyses of several representative numerical examples, where good accuracy and efficiency are demonstrated through comparison with commercial software package ADAMS.

A Recursive Algorithm for Generating the Equations of Motion of Spatial Mechanical Systems with Application to the Five-Point Suspension

  • Attia, Hazem-Ali
    • Journal of Mechanical Science and Technology
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    • 제18권4호
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    • pp.550-559
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    • 2004
  • In this paper, a recursive formulation for generating the equations of motion of spatial mechanical systems is presented. The rigid bodies are replaced by a dynamically equivalent constrained system of particles which avoids introducing any rotational coordinates. For the open-chain system, the equations of motion are generated recursively along the serial chains using the concepts of linear and angular momenta Closed-chain systems are transformed to open-chain systems by cutting suitable kinematic joints and introducing cut-joint constraints. The formulation is used to carry out the dynamic analysis of multi-link five-point suspension. The results of the simulation demonstrate the generality and simplicity of the proposed dynamic formulation.

Dynamic Analysis of a Chain of Rigid Rods

  • Attia, Hazem Ali
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제8권2호
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    • pp.75-86
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    • 2004
  • In this study, a recursive algorithm for generating the equations of motion of a chain of rigid rods is presented. The methods rests upon the idea of replacing the rigid body by a dynamically equivalent constrained system of particles. The concepts of linear and angular momentums are used to generate the rigid body equations of motion without either introducing any rotational coordinates or the corresponding transformation matrices. For open-chain, the equations of motion are generated recursively along the serial chains. For closed-chain, the system is transformed to open-chain by cutting suitable kinematic joints with the addition of cut-joints kinematic constraints. An example of a closed-chain of rigid rods is chosen to demonstrate the generality and simplicity of the proposed method.

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주상복합구조물의 효율적인 3차원 해석 (Efficient 3D Analysis of Building Structures with A Rigid Floor System)

  • 황현식;이동근
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1996년도 가을 학술발표회 논문집
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    • pp.239-246
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    • 1996
  • Very stiff floor system in a residential-commercial building causes some problems in the numerical analysis procedure due to significant difference in stiffness with adjacent structural elements. Static analysis of structure with a stiff transfer-floor can be peformed approximately in two steps for upper and lower pons for the structure. However, it is impossible to perform dynamic analysis in two steps with separate models. An efficient method for dynamic analysis of a structure with a rigid floor system is proposed in this study. The matrix condensation technique is employed to reduce the degree of freedom for upper and lower parts of the structure and a beam elements with rigid bodies of both ends are introduce to model the rigid floor system. Efficiency end accuracy of the proposed method ore verified through analysis of several example structures.

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