... surface. screw theory reciprocity linear line complex third law of gearing curvature surface Proceedings of the ASME 2024 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference IDETC-CIE2024 August 25-28, 2024, Washington, DC DETC2024...

...) has been a central problem in screw theory since its conception. Until now, there has been no autonomous computational tool that can identify, locate, and orient a freedom space defined by any set of desired degree-of-freedom motions (i.e., twists). The authors are developing this tool as part...

... that they justify their design decisions. This paper also links the steps in the design process to specific tools developed in previous papers. Top-down Assembly Design Datum Flow Chain (DFC) Constraint Screw Theory Mechanical Assembly Tolerance Analysis Proceedings of DETC'01 ASME 2001 Design...

... Abstract The paper presents a generalized mathematical framework for computation and compensation of tool tip errors in multi-axis machine tools using screw theory. In contrast to conventional Denavit–Hartenberg notation, Screw theory offers several advantages including: (i) modeling of complex...

... a solid foundation for further research on kinematically redundant 3T1R PMs. Parallel manipulator Kinematically redundant parallel manipulator Type synthesis Virtual-chain approach Screw theory TYPE SYNTHESIS OF KINEMATICALLY REDUNDANT 3T1R PARALLEL MANIPULATORS Xianwen Kong School...

.... Variable degrees-of-freedom parallel manipulator Parallel manipulator with multiple operation modes Type synthesis Virtual-chain approach Screw theory Proceedings of the ASME 2012 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference IDETC/CIE...

... and compare every microstructural concept that best satisfies the design requirements before selecting the final design. A screw-theory-based analytical tool is also provided in this paper to help designers calculate and optimize the thermal properties of microstructural concepts, which are generated using...

... screw theory singularity reciprocal screws Proceedings of the ASME 2012 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference IDETC/CIE 2012 August 12 15, 2012, Chicago, IL, USA DETC2012-70636 CLASSIFICATION OF SCREW SYSTEMS COMPOSED OF THREE...

... to the singularity (stability) analysis of a single-loop structure. Fi- nally, the geometric characteristics of singular configurations of the class of parallel manipulators are obtained with almost no algebraic derivation. KEY WORDS Parallel mechanism, screw theory, singular- ity, equivalent serial kinematic chain...

... 13 06 2012 This paper presents a novel parallel robot constructed with a three-limb CUP architecture. The mobility of the mechanism is obtained using screw theory, showing that the platform has three degrees of freedom, namely: (i) translation along the Z axis; and (ii) two...

... with multiple operation modes Type synthesis Virtual chain approach Screw theory Proceedings of the ASME 2011 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference IDETC/CIE 2011 August 28 31, 2011, Washington, DC, USA DETC2011-48510 TYPE SYNTHESIS...

... essential for design and analysis. This paper reports a numerical method for decoupling the Cartesian stiffness matrix, based on screw theory. With the aid of this method, the translational and rotational stiffness matrices can be analyzed independently. The mechanical properties of the decoupled stiffness...

... Parallel and serial flexure systems screw theory freedom and constraint spaces 1 Copyright © 2011 by ASME SYNTHESIZING PARALLEL FLEXURE CONCEPTS THAT MIMIC THE COMPLEX KINEMATICS OF SERIAL FLEXURES USING DISPLACED SCREW SYSTEMS Jonathan B. Hopkins Engineering Technologies Division Lawrence...

... 30 07 2010 This paper investigates the mobility of a family of 3-DOF parallel manipulators using screw theory. Based on the 3- P SP , 3- P PS and 3- P CU manipulators and a new 3- CUP parallel manipulator, the paper obtains the branch motion-screws for these architectures...

... 30 07 2010 Basic principles and main characteristics of three approaches for structure synthesis of robot mechanisms (the screw theory-based approach, the displacement subgroup-based approach and the approach based on position and orientation characteristic (in short, POC...

... are employed to identify whether the mobility is global. overconstrained linkage Bennett loop mobility screw theory 1 Copyright © 2009 by ASME Proceedings of the ASME 2009 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference IDETC/CIE 2009...

... is eliminated. 24 07 2009 parallel mechanisms forward position problem inverse position problem mobility screw theory onferences & Computers and Information in Engineering Conference IDETC/CIE 2008 P in W P in tt screws shows that the platform exhibits a screw motion, that is, important...

... form solutions for the inverse kinematics problem. The differential kinematical analysis is developed by deriving the Jacobian matrix through screw theory and the singularities are identified with workspace analysis. The paper ends with isotropic configuration analysis and illustrates...

... Assembly Feature Assembly Model Data Exchange Neutral Representation Open Assembly Model TechSpec Screw Theory a W i i Proceedings of the ASME 2007 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference IDETC/CIE 2007 September 4-7, 2007, Las...

... 30 06 2008 In this paper, a systematic method based on the screw theory is proposed for the geometric synthesis of a family of 3-DoF translational parallel manipulators (TPMs). The theory of screws and reciprocal screws is employed for the analysis of the geometric conditions...