133 research outputs found

    Nonlinear Geometric Models

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    Shape characterisation of tool path motion

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    For a given application, the autonomous regulation of tool path motion by a machine’s controller can produce undesirable and unknown machining conditions. Machining parameters may therefore require a posteriori optimisation. Indeed, the methods employed are often iterative and informed by empirical evidence from machining trials. A shape characterisation of tool path motion is postulated by enforcing constraints on the kinematic equations describing velocity, acceleration and jerk. The resulting description of motion depends only upon the kinematic limits of a machine and the intrinsic shape properties of a tool path. The resulting shape schematics provide complete illustrations of the distinctive features of each of the kinematic vectors. Kinematic profiles, derived from a series of test tool path motions are compared with these shape schematics in order to provide supportive empirical evidence. The main contribution of this thesis is to demonstrate a priori shape characterisation of tool path motion. This characterisation is achieved without knowledge of the motion control algorithms implemented by a given machine’s controller. The characterisation may be employed to inform the selection of machining parameters and thereby reduce the time and the number of machining trials

    Cooperative Trajectory Planning for Automated Vehicles

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    On Triangular Splines:CAD and Quadrature

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    On Triangular Splines:CAD and Quadrature

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