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    An Alternative to Euclid’s Algorithm 

    Source: Journal of Mechanical Design:;1979:;volume( 101 ):;issue: 004:;page 582
    Author(s): G. K. Matthew
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A general method for finding factors common to two polynomials is developed. The process is shown to have immediate application to the removal of multiplicities when attempting to root polynomials. ...
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    The Design of Modeled Cam Systems—Part I: Dynamic Synthesis and Chart Design For the Two-Degree-of-Freedom Model 

    Source: Journal of Manufacturing Science and Engineering:;1975:;volume( 097 ):;issue: 004:;page 1175
    Author(s): G. K. Matthew; D. Tesar
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: An extension of the dynamic synthesis philosophy given earlier [1] for cam follower systems is made in terms of a two-degree-of-freedom model. Three additional dimensionless parameters η, λ, γ ...
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    The Design of Modeled Cam Systems—Part II: Minimization of Motion Distortion Due to Modeling Errors 

    Source: Journal of Manufacturing Science and Engineering:;1975:;volume( 097 ):;issue: 004:;page 1181
    Author(s): G. K. Matthew; D. Tesar
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The dynamic synthesis procedures of Part I are reinforced by qualitative and quantitative results from analysis. The principal concern is for the motion distortion which results from off-speed ...
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    Synthesis of Spring Parameters to Satisfy Specified Energy Levels in Planar Mechanisms 

    Source: Journal of Manufacturing Science and Engineering:;1977:;volume( 099 ):;issue: 002:;page 341
    Author(s): G. K. Matthew; D. Tesar
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The potential energy storage capabilities of linear springs are integrated with the nonlinear motion of mechanisms to provide approximation of desired counter-loading functions. The approximating ...
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    Synthesis of Spring Parameters to Balance General Forcing Functions in Planar Mechanisms 

    Source: Journal of Manufacturing Science and Engineering:;1977:;volume( 099 ):;issue: 002:;page 347
    Author(s): G. K. Matthew; D. Tesar
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The analytical formulation from a companion paper is extended to allow the concept of multiply separated positions to be applied to the spring-energy problem. A major change in perspective for ...
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    The Simultaneous Analytical Synthesis of Mass and Spring Elements in Planar Mechanisms 

    Source: Journal of Mechanical Design:;1981:;volume( 103 ):;issue: 004:;page 758
    Author(s): J. N. Griffin; G. K. Matthew
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The potential energy storage of linear springs and the kinetic energy storage of a body in motion are associated with the nonlinear motion of planar mechanisms to provide precision point control ...
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    Partial Dynamic State Synthesis by Use of Mass Parameters in a System Coupler Link 

    Source: Journal of Mechanical Design:;1979:;volume( 101 ):;issue: 002:;page 246
    Author(s): J. L. Elliott; G. K. Matthew; D. Tesar
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: One of the primary objectives of synthesis is the reduction of the number of controlling parameters facing the designer in the optimization phase of the design process while at the same time ...
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    The Geometry of Interference With Application to Obstacle Avoidance 

    Source: Journal of Mechanical Design:;1993:;volume( 115 ):;issue: 002:;page 300
    Author(s): Y. J. Choi; C. D. Crane; G. K. Matthew; J. Duffy
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A mapping which transforms the relative displacements of one object with respect to a reference object into image points has been developed by interpreting the relative displacement in terms ...
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