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    Mobility of Single-Loop Kinematic Mechanisms Under Differential Displacement 

    Source: Journal of Mechanical Design:;2010:;volume( 132 ):;issue: 004:;page 41001
    Author(s): Paul Milenkovic
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Linear analysis of motion screws is a means for determining the mobility of a mechanism composed of the parallel combination of serial kinematic chains. Such a mechanism may have one or more ...
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    Solution of the Forward Dynamics of a Single-loop Linkage Using Power Series 

    Source: Journal of Dynamic Systems, Measurement, and Control:;2011:;volume( 133 ):;issue: 006:;page 61002
    Author(s): Paul Milenkovic
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The kinematic differential equations express the paths taken by points, lines, and coordinate frames attached to a rigid body in terms of the instantaneous screw for the motion of that body. ...
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    Mobility of Multichain Platform Mechanisms Under Differential Displacement 

    Source: Journal of Mechanisms and Robotics:;2010:;volume( 002 ):;issue: 003:;page 31004
    Author(s): Paul Milenkovic
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: For a platform connected to its base through two chains forming a single loop, the instantaneous mobility may be expressed by a set of motion screws that is in the intersection of the sets ...
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    Series Solution for Finite Displacement of Planar Four-Bar Linkages 

    Source: Journal of Mechanisms and Robotics:;2011:;volume( 003 ):;issue: 001:;page 14501
    Author(s): Paul Milenkovic
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A time-varying instantaneous screw characterizes the motion of a rigid body. The kinematic differential equation expresses the path taken by any point on that rigid body in terms of this screw. ...
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    Nonsingular Spherically Constrained Clemens Linkage Wrist 

    Source: Journal of Mechanisms and Robotics:;2011:;volume( 003 ):;issue: 001:;page 11014
    Author(s): Paul Milenkovic
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The parallel connection of a revolute-spherical-revolute Clemens linkage with a revolute-universal joint (RU) spherical linkage realizes a two-axis spherical pointing device suitable for use in a ...
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    Series Solution for Finite Displacement of Single-Loop Spatial Linkages 

    Source: Journal of Mechanisms and Robotics:;2012:;volume( 004 ):;issue: 002:;page 21016
    Author(s): Paul Milenkovic
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The kinematic differential equation for a spatial point trajectory accepts the time-varying instantaneous screw of a rigid body as input, the time-zero coordinates of a point on that rigid body ...
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    Triangle Pseudocongruence in Constraint Singularity of Constant-Velocity Couplings 

    Source: Journal of Mechanisms and Robotics:;2009:;volume( 001 ):;issue: 002:;page 21006
    Author(s): Paul Milenkovic
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Congruent triangles establish that a class of intersecting-shaft couplings is constant velocity. These mechanisms employ a pair of linkages in parallel: a spherical joint at the intersection of ...
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    Properties of the Bennett Mechanism Derived From the RRRS Closure Ellipse 

    Source: Journal of Mechanisms and Robotics:;2011:;volume( 003 ):;issue: 002:;page 21012
    Author(s): Paul Milenkovic; Morgan V. Brown
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: For many single-loop closed-chain mechanisms, mobility may be characterized by the closure of sets in the theory of Lie groups. The four-revolute (4R) Bennett mechanism remains a persistent ...
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    A Time Domain Method for Estimating Forces Applied to an Unrestrained Structure 

    Source: Journal of Vibration and Acoustics:;2001:;volume( 123 ):;issue: 004:;page 524
    Author(s): Adam D. Stelzner; Senior Staff; Daniel C. Kammer; Paul Milenkovic
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A new method for the estimation of forces applied to a structure is presented. This time domain technique uses the structures response time history and returns an estimate of the applied force ...
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