1,721,071 research outputs found
Higher-order curvature analysis of planar curves enveloped by straight-lines
No full textThe main focus of this paper is on higher-order curvature analysis of curve envelopes generated by planar motion of straight-lines. Classic Burmester theory mainly deals with curvature properties of moving point trajectories. When compared with this case, very few investigations dedicated to curvature properties of envelopes generated through planar motion are on the record.In the present paper, for planar curve envelopes generated by straight-lines, the analytical expressions of curvature ratios lambda(1) and lambda(2) have been deduced in terms of Bottema's invariants. The theoretical findings are used to propose a new algorithm for the kinematic synthesis of linkages for fourth-order curve generation through the envelope of a moving straight-line.The paper offers two kinematic synthesis applications of the theory herein developed. For a planar four-bar, at a given position, is computed the coupler driven straight-line generating envelopes with prescribed third and fourth-order curvature ratios. (C) 2018 Elsevier Ltd. All rights reserved
Corrigendum to “Generalized Burmester points computation by means of Bottema's instantaneous invariants and intrinsic geometry” [(Mechanism and Machine Theory) (2018) 129 (316–335), (S0094114X18306128), (10.1016/j.mechmachtheory.2018.07.011))
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The mechanical generation of planar curves by means of point trajectories, line and circle envelopes: A unified treatment of the classic and generalized Burmester problem
No full textIt is herein addressed the generation of planar curves by means of circles envelopes. The theoretical approach follows from a combined use of intrinsic geometry and the derivatives of Euler-Savary equation for conjugate profiles. The analytical results deduced are general and include, as particular cases, the formulas for the computation of classic and generalized Burmester points. Furthermore, also as particular case, follows the generation of planar curves as envelopes of a moving straight line. A new analytical form of the cubic of stationary is also presented. All the results are expressed in terms of classic kinematic invariants. In the Appendix the relationships of these invariants with those named after Bottema are deduced. Numerical examples are also discussed. (C) 2019 Published by Elsevier Ltd
Generalized Burmester points computation by means of Bottema's instantaneous invariants and intrinsic geometry
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Sperimentazione di un impianto in scala ridotta per la conservazione della patata a medio-lungo periodo mediante la frigoventilazione
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