• 제목/요약/키워드: Screw theory

검색결과 48건 처리시간 0.023초

스크류 이론을 이용한 평면형 병렬로봇의 자코비안 및 특이점 해석 (Analysis of Jacobian and Singularity of Planar Parallel Robots Using Screw Theory)

  • 최정현;이재원;이혁진
    • 대한기계학회논문집A
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    • 제36권11호
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    • pp.1353-1360
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    • 2012
  • 병렬로봇의 구동을 계산하기 위해서 자코비안과 특이점 해석이 필요하다. 기존의 자코비안을 구하는 미분의 방식은 그 계산과정이 복잡하고 기하학적인 의미도 찾기 어렵다. 본 논문에서는 스크류 이론을 사용하여 병렬로봇의 자코비안을 쉽게 구하고 그것의 기하학적인 의미도 구하였다. 뿐만 아니라 특이점도 간단한 형태로 식을 구성할 수 있으며 기하학적인 의미도 가진다. 또한, 스크류 이론의 적용이 5 링크와 같이 간단한 형태의 비 여유구동 로봇뿐만 아니라 다양한 형태의 평면형 여유구동 병렬로봇에도 적용 가능하다는 것을 본 논문에서 제시하였다.

조립체 공차설계를 위한 제약해석과 과잉제약 개선 - 볼밸브 설계 사례연구 (Constraint Analysis and Reduction of Over-Constraints for Tolerance Design of Assemblies - A Case Study of Ball Valve Design)

  • 박준일;임현준
    • 한국정밀공학회지
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    • 제33권8호
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    • pp.669-681
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    • 2016
  • Mechanical designers often make mistakes that result in unwanted over-constraints, causing difficulty in assembly operations and residual stress due to interference among parts. This study is concerned with detection and elimination of over-constraints. Screw theory is a general method that is used for constraint analysis of an assembly and motion analysis of a mechanism. Mechanical assemblies with plane-plane, pin-hole, and pin-slot constraint pairs are analyzed using screw theory to illustrate its utility. As a real-world problem, a ball valve design is analyzed using the same method, and several unwanted over-constraints are detected. Elimination measures are proposed. Nominal dimensions of some parts are adjusted, and dimensions and tolerances of the pins and holes are modified using the virtual condition boundary concept. The revised design is free of over-constraints. General procedure for applying screw theory to constraint analysis is established and demonstrated; it will contribute to improving quality of assembly designs.

다물체계의 진동해석 및 능동적 방진설계 (Vibration Analysis and Active Absorber Design for a Multi-Body System)

  • 오준환;최용제
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2003년도 춘계학술대회 논문집
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    • pp.1503-1507
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    • 2003
  • A general vibration phenomenon of a rigid-body supported by springs can be viewed as a small repetitive screw displacement. From this view, a multi-directional vibration absorber can be designed by use of screw theory and transfer matrix method. In this paper, the basic equations of motion for a multi-body system have been expressed in terms of screws using transfer matrix method and a simple approach to the design of a multi-degrees-of-freedom absorber has been presented. In order to illustrate the methodology, an example for the design of a 2-DOF active absorber which is capable of absorbing vibration of a rigid body excited by 3-DOF external force has been presented.

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6자유도 진동 흡진기의 기하적 설계 이론 (Geometrical Design Theory of a 6 DOF Vibration Absorber)

  • 장선준;최용제
    • 한국정밀공학회지
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    • 제22권7호
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    • pp.191-199
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    • 2005
  • Many researchers have been investigating the design of multi-mode absorption vibration absorber for multi degree-of-freedom (DOF) system. The approach taken to this problem has been to find the optimized constants of stiffness and damping for the given set of single-DOF absorbers or single multi-DOF absorber attached to a multi degree-of-freedom system. This paper presents a novel geometrical and direct design theory of a 6 DOF vibration absorber via screw theory. Theoretical development is demonstrated by a practical example in which the diagonal stiffness matrix is synthesized using rectangular configuration of springs. The performance of this absorber is simulated by modal analysis.

Static Load Analysis of Twin-screw Kneaders

  • Wei, Jing;Zhang, Guang-Hui;Zhang, Qi;Kim, Jun-Seong;Lyu, Sung-Ki
    • International Journal of Precision Engineering and Manufacturing
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    • 제9권3호
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    • pp.59-63
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    • 2008
  • A static load analysis of twin-screw kneaders is required not only for the dynamic analysis, but also because it is the basis of the stiffness and strength calculations that are essential for the design of bearings. In this paper, the static loads of twin-screw kneaders are analyzed, and a mathematical model of the force and torque moments is presented using a numerical integration method based on differential geometry theory. The calculations of the force and torque moments of the twin-screw kneader are given. The results show that the $M_x$ and $M_y$ components of the fluid resistance torque of the rotors change periodically in each rotation cycle, but the $M_z$ component remains constant. The axis forces $F_z$ in the female and male rotors are also constant. The static load calculated by the proposed method tends to be conservative compared to traditional methods. The proposed method not only meets the static load analysis requirements for twin-screw kneaders, but can also be used as a static load analysis method for screw pumps and screw compressors.

DC 모터 전류 신호를 이용한 자동나사체결기 토크의 간접 측정 (Indirect Measurement of Torque of the Auto Screw Drive to using the Current Signals of DC Motor)

  • 이정윤;이정우;이준호
    • 한국공작기계학회:학술대회논문집
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    • 한국공작기계학회 2003년도 춘계학술대회 논문집
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    • pp.299-304
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    • 2003
  • This paper proposes an algorithm to estimate the screw torque from parameters of induction motor and current of DC motor without strain gage and torque cell. The parameters of friction torque search for damping ratio and electromotive force constant use the motor torque and angula speed signals be generated in the induction motor, make use of oscilloscope and stroboscope for precise measured of experimental data, measured physical parameters through experimental. In addition the screw torque estimated use of measured current signals from induction moor. The results, theory and simulation recognized well coincidence.

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광디스크 트랙킹 계의 동특성 해석 및 진동 안정화 (Vibration Stabilization of the Tracking System of an Optical Disc Drive)

  • 단병주;최용제
    • 한국정밀공학회지
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    • 제16권1호통권94호
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    • pp.191-199
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    • 1999
  • In designing the tracking system of an optical disc drive, it is first necessary to eliminate the undesired influence of any visible mechanical vibrations. In this paper a geometrical method to analyze the frequency response of an elastically supported planar rigid body has been presented. Using the theory of screw, a geometrical expression of a compliant transfer function which describes the effects of the locations of an applied force and observation on the response has been derived. Applying the substructure synthesis method, a technique to stabilize the tracking mechanical system has been presented with a numerical example.

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특이형상의 위치를 고려한 병렬 기구의 작업공간 최적설계 (Workspace Optimal Design of Parallel Mechanisms Reflecting the Singularity Locations)

  • 강재구;김희국
    • 로봇학회논문지
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    • 제7권2호
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    • pp.101-112
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    • 2012
  • It is well-known that when singularities are located within the workspace of the parallel mechanism (PM), the usefulness of its workspace is significantly deteriorated. To handle this problem, we suggest an optimal design method which leads to more useful and larger workspace of the PM by taking its singularity locations into consideration in design process. Kinematic models of three selected planar PMs, a 5R type PM, a 3-RPR type planar PM, and a 3-RRR type planar PM, are derived via screw theory and their singularity analyses are conducted. Then workspace optimal designs for those three PMs are conducted to verify that the suggested design method leads more useful and larger workspace in which deterioration by singularity is minimal.