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    On the Multiple Generation of Coupler-Curves 

    Source: Journal of Manufacturing Science and Engineering:;1965:;volume( 087 ):;issue: 002:;page 177
    Author(s): Bernard Roth
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The existence of different linkages which generate identical coupler-curves is investigated. For a certain class of mechanisms, the skew pantograph is shown to be the basis for obtaining cognates. ...
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    The Kinematics of Motion Through Finitely Separated Positions 

    Source: Journal of Applied Mechanics:;1967:;volume( 034 ):;issue: 003:;page 591
    Author(s): Bernard Roth
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A rigid body is studied in a series of finitely separated positions, in order to determine those points which lie on a special locus (a sphere, circle, plane, line, or cylinder). Equations ...
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    Discussion: “Rodrigues’ Formula and the Screw Matrix” (Bisshopp, K. E., 1969, ASME J. Eng. Ind., 91, pp. 179–184) 

    Source: Journal of Manufacturing Science and Engineering:;1969:;volume( 091 ):;issue: 001:;page 184
    Author(s): Bernard Roth
    Publisher: The American Society of Mechanical Engineers (ASME)
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    Robots—State of the Art in Regard to Mechanisms Theory 

    Source: Journal of Mechanical Design:;1983:;volume( 105 ):;issue: 001:;page 11
    Author(s): Bernard Roth
    Publisher: The American Society of Mechanical Engineers (ASME)
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    Finding Geometric Invariants From Time-Based Invariants for Spherical and Spatial Motions 

    Source: Journal of Mechanical Design:;2005:;volume( 127 ):;issue: 002:;page 227
    Author(s): Bernard Roth
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: This paper shows how the instantaneous invariants for time-independent motions can be obtained from time-dependent motions. Relationships are derived between those parameters that define a ...
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    In Memory of Professor Ferdinand Freudenstein, 1926–2006 

    Source: Journal of Mechanical Design:;2007:;volume( 129 ):;issue: 003:;page 241
    Author(s): Bernard Roth
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: In the spring of 1999 Professor Marco Ceccarelli invited Professor Ferdinand Freudenstein to present the opening plenary lecture at the International Symposium on History of Machines and Mechanisms, ...
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    Instantaneous Properties of Multi-Degrees-of-Freedom Motions—Point Trajectories 

    Source: Journal of Mechanical Design:;1987:;volume( 109 ):;issue: 001:;page 107
    Author(s): Ashitava Ghosal; Bernard Roth
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A general framework is presented for the study of the properties of trajectories generated by points embedded in rigid bodies undergoing multi-degrees-of-freedom motions. Quantities are developed ...
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    Instantaneous Properties of Multi-Degrees-of-Freedom Motions—Line Trajectories 

    Source: Journal of Mechanical Design:;1987:;volume( 109 ):;issue: 001:;page 116
    Author(s): Ashitava Ghosal; Bernard Roth
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A general framework is presented for the study of the properties of trajectories generated by lines embedded in rigid bodies undergoing multi-degrees-of-freedom motions. Several new concepts, such ...
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    Synthesis of Path-Generating Mechanisms by Numerical Methods 

    Source: Journal of Manufacturing Science and Engineering:;1963:;volume( 085 ):;issue: 003:;page 298
    Author(s): Bernard Roth; Ferdinand Freudenstein
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Algebraic methods in kinematic synthesis are extended to cases in which the development of iterative numerical procedures are required. Algorithms are developed for the numerical solution of ...
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    Incompletely Specified Displacements: Geometry and Spatial Linkage Synthesis 

    Source: Journal of Manufacturing Science and Engineering:;1973:;volume( 095 ):;issue: 002:;page 603
    Author(s): Lung-Wen Tsai; Bernard Roth
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The screw axis geometry associated with displacements of points and lines is studied. Analytical expressions are developed for rigid body screw displacements which have one or more free parameters. ...
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