Gauss, Landen, Ramanujan, the arithmetic-geometric mean, ellipses, &pgr;, and the Ladies Diary
American Mathematical Monthly
Introduction to Robotics: Mechanics and Control
Introduction to Robotics: Mechanics and Control
Modelling and Control of Robot Manipulators
Modelling and Control of Robot Manipulators
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As the speed of industrial pick and place robots continues to increase, new trajectory planning strategies will need to be developed in order to optimise the dynamic characteristics of high speed motion. The use of elliptical pick and place cycles coupled with a Modified Sine cam motion profile is proposed and compared to the traditional rectangular cycle with trapezoidal velocity profile. The elliptical cycle exhibits very smooth, continuous motion curves. Asymmetric acceleration can optionally be specified to reduce peak joint torques and increase maximum pick and place speed.