Kinematics of General Spatial Mechanical Systems. M. Kemal Ozgoren

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Kinematics of General Spatial Mechanical Systems - M. Kemal Ozgoren

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target="_blank" rel="nofollow" href="#fb3_img_img_f515d6e4-3fc2-5cb8-9124-c23396e1b903.png" alt="images"/>Unit vector along the common normal imagesimagesUnit vector along the axis of imagesimagesBasis vector triad of a reference frame images; imagesimagesBasis vector triad of the link frame images; imagesimagesTip point velocity influence coefficient due to images; imagesimagesVelocity of an implied point (in a general use)imagesTip point velocity with respect to the base frame; imagesimagesColumn matrix representation of images in the base frame; imagesimagesVelocity of a point P with respect to an implied reference frameimagesVelocity of a point P with respect to a reference frame images; imagesimagesWrist point velocity influence coefficient due to images; imagesimagesWrist point velocity with respect to the base frame; imagesimagesColumn matrix representation of images in the base frame; imagesimagesGeneratrix line vector of a conical surface imagesimagesColumn matrix representation of images in the link frame imagesimagesColumn matrix of the primary variablesimagesColumn matrix of the secondary variablesimagesColumn matrix of the primary and secondary variables

      Symbols Based on the Greek Alphabet

      imagesAngular acceleration of an implied body or frame (in a general use)imagesAngular acceleration of images or images with respect to an implied frameimagesAngular acceleration of images or images with respect to imagesβkTwist angle of images with respect to imagesγkCumulative twist angle of images with respect to images; γk = β1 + β2 + … + βkimagesModified gradient of a conical surface expressed in the link frame imagesδijKronecker Delta function of the indices i and jδkConstant rotation angle of images with respect to images if images is prismaticεijkLevi‐Civita Epsilon function of the indices i, j, and kimagesColumn matrix of the end‐effector velocity state in the task space imagesθkJoint variable (angular displacement) of the revolute joint imagesθkVariable rotation angle of images with respect to images if images is revoluteλDoF of the working or operational space of a mechanical systemλabGradient ratio between images and images; imagesμMobility (DoF) of a system in its working or operational spaceμabRelative mobility (DoF) of images with respect to images; μba = μab

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