Abstract
The aim of this work has been to develop a method that can be used within synthesis of spatial mechanisms, specifically on the problem of designing a mechanism for which a coupler point can describe a given path, given by a number of discrete points.
In order to maintain the method general, i.e. be able to work for arbitrary mechanisms, a general analysis method is used as the basic tool, and to maintain a small number of degrees of freedom the joint, or relative, formulation is employed. No attempts are being made to match the points exactly. Instead an optimization procedure is employed to minimize the distance from the path of the coupler point and the desired path.
In order to stabilize the procedure, a continuation method is applied in conjunction with the optimization method so that the desired path is gradually changed from points being close to points on the initial coupler curve to the ones actually desired. With this combination a method for synthesizing a spatial mechanism towards a mechanism that can describe a given coupler curve has been developed that is both general and stable.
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© 1995 Springer Science+Business Media Dordrecht
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Hansen, J.M. (1995). Synthesis of Spatial Mechanisms Using Optimization and Continuation Methods. In: Pereira, M.F.O.S., Ambrósio, J.A.C. (eds) Computational Dynamics in Multibody Systems. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-1110-4_12
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DOI: https://doi.org/10.1007/978-94-017-1110-4_12
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