TAILIEUCHUNG - Robot Manipulators 2011 Part 3

Tham khảo tài liệu 'robot manipulators 2011 part 3', kỹ thuật - công nghệ, cơ khí - chế tạo máy phục vụ nhu cầu học tập, nghiên cứu và làm việc hiệu quả | 62 Robot Manipulators Figure 9. A scheme of screw triangle for 3R manipulator design Screw Theory was developed to investigate the general motion of rigid bodies in its form of helicoidal screw motion in 3D space. A screw entity was defined to describe the motion and to perform computation still through vector approaches. A unit screw is a quantity associated with a line in the three-dimensional space and a scalar called pitch which can be represented by a 6 x 1 vector s r x s Xs T where s is a unit vector pointing along the direction of the screw axis r is the position vector of any point on the screw axis with respect to a reference frame and X is the pitch of the screw. A screw of intensity p is represented by S p . When a screw is used to describe the motion state of a rigid body it is often called a twist represented by a 6 x 1 vector as m v T where m represents the instant angular velocity and v represents the linear velocity of a point O which belongs to the body and is coincident with the origin of the coordinate system. Screw Theory has been applied to manipulator design by using suitable models of manipulator chains both with serial and parallel architectures in which the joint mobility is represented by corresponding screws Davidson and Hunt 2005 . Thus screw systems describe the motion capability of manipulator chains and therefore they can be used still with a Precision Point approach to formulate design equations and characteristics of the architectures. In an illustrative example is reported as based on the fundamental so-called Screw Triangle model for efficient computational purposes even to deduce closed-form design expressions. Optimization problem design The duality between serial and parallel manipulators is not anymore understood as a competition between the two kinematic architectures. The intrinsic characteristics of each architecture make each architecture as devoted to some manipulative tasks more than an alternative to the .

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