Congruent Stewart Gough platforms with non-translational self-motions

نویسنده

  • Georg Nawratil
چکیده

A parallel manipulator of STEWART GOUGH (SG) type consists of a platform and a base, which are connected via six spherical-prismatic-spherical legs, where all prismatic joint are active (actuated) and all spherical joints are passive (non-actuated). If we fix the prismatic joints, the SG platform is generically rigid, but under particular geometric conditions the manipulator can perform a n-dimensional motion (n > 0), which is called self-motion.

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

On equiform Stewart Gough platforms with self-motions

A STEWART GOUGH (SG) manipulator, where the platform is similar to the base, is called equiform SG manipulator. It is well known that these SG manipulators with planar platform and planar base only have self-motions, if they are architecturally singular; i.e. the anchor points are located on a conic section. Therefore this study focuses on the non-planar case. We prove that an equiform SG manip...

متن کامل

On Elliptic Self-motions of Planar Projective Stewart Gough Platforms

It has been previously shown that non-architecturally singular parallel manipulators of Stewart Gough type, where the planar platform and the planar base are related by a projectivity, have either so-called elliptic self-motions or pure translational self-motions. As the geometry of all manipulators with translational selfmotions is already known, we focus on elliptic self-motions. We show that...

متن کامل

Self-motions of planar projective Stewart Gough platforms

In this paper, we study self-motions of non-architecturally singular parallel manipulators of Stewart Gough type, where the planar platform and the planar base are related by a projectivity. By using mainly geometric arguments, we show that these manipulators have either so-called elliptic self-motions or pure translational self-motions. In the latter case, the projectivity has to be an affinit...

متن کامل

Introducing the theory of bonds for Stewart Gough platforms with self-motions0

We transfer the basic idea of bonds, introduced by Hegedüs, Schicho and Schröcker for overconstrained closed chains with rotational joints, to the theory of self-motions of parallel manipulators of Stewart Gough type. Moreover we present some basic facts and results on bonds and demonstrate the potential of this theory on the basis of several examples. As a by-product we give a geometric charac...

متن کامل

Non-existence of planar projective Stewart Gough platforms with elliptic self-motions

In this paper, we close the study on the self-motional behavior of nonarchitecturally singular parallel manipulators of Stewart Gough (SG) type, where the planar platform and the planar base are related by a projectivity κ , by showing that planar projective SG platforms with elliptic self-motions do not exist. The proof of this result demonstrates the power of geometric and computational inter...

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:

دوره   شماره 

صفحات  -

تاریخ انتشار 2014