Optimal Synthesis of Overconstrained 6R Linkages by Curve Evolution

نویسندگان

  • Tudor-Dan Rad
  • Hans-Peter Schröcker
چکیده

The paper presents an optimal synthesis of overconstrained linkages, based on the factorization of rational curves contained in Study’s quadric. The group of Euclidean displacements is embedded in a affine space where a metric between motions based on the homogeneous mass distribution of the end effector is used to evolve the curves such that they are fitted to a set of target poses. In the end we present an example for the optimal synthesis of an overconstrained 6R linkage.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Classification of Angle-Symmetric 6R Linkage

In this paper, we consider a special kind of overconstrained 6R closed linkages which we call angle-symmetric 6R linkages. These are linkages with the property that the rotation angles are equal for each of the three pairs of opposite joints. We give a classification of these linkages. It turns that there are three types. First, we have the linkages with line symmetry. The second type is new. T...

متن کامل

Type Synthesis of Three-Degree-of-Freedom Spherical Parallel Manipulators

A spherical parallel manipulator (also called an orientational parallel manipulator or rotational parallel manipulator) refers to a threedegree-of-freedom (3-DoF) parallel manipulator in which the moving platform undergoes a 3-DoF spherical motion or rotates about a fixed point. In this paper, we propose a new method for the type synthesis of non-overconstrained (isostatic) spherical parallel m...

متن کامل

Analysis and Synthesis of Overconstrained Mechanisms

This paper describes how, based on a method originated by Raghavan and Roth and elaborated by Mavroidis and Roth, a systematic approach is defined in order to obtain and solve the input-output equations of any overconstrained mechanism. We show that the key to study overconstrained mechanisms lies in analyzing a certain matrix. We are using this matrix to prove overconstraint of special structu...

متن کامل

The theory of bonds II: Closed 6R linkages with maximal genus

In this paper, we study closed linkages with six rotational joints that allow a one-dimensional set of motions. We prove that the genus of the configuration curve of a such a linkage is at most five, and give a complete classification of the linkages with a configuration curve of genus four or five. The classification contains new families.

متن کامل

Method to determine uncertain configurations of 6R manipulators

In this paper, a method is proposed to analytically determine the "uncertain" configurations of a general 6R manipulator. A configuration is called uncertain if in that configuration the manipulator’s joint freedom is greater than its end-effector freedom. In uncertain configurations, the manipulator acts like a redundant system where the endeffector remains in the same pose even if one (or mor...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • CoRR

دوره abs/1702.00019  شماره 

صفحات  -

تاریخ انتشار 2017