On the Stiffness and Stability of Gough-Stewart Platforms

نویسندگان

  • Mikhail M. Svinin
  • Shigeyuki Hosoe
  • Masaru Uchiyama
چکیده

This paper deals with a class of parallel mechanisms, called Gough-Stewart platforms. For these mechanisms, pre-loaded by driving forces, the stiffness matrix is derived and its basic properties are established. It is shown when the stiffness matrix becomes asymmetric, how the parametric imbalance may influence the system stability, and how the center of stiffness depends on the force pre-loading. Next, some necessary and some sufficient conditions for the stability are established in an analytical form by transforming the stiffness matrix to the center of stiffness.

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

Planar Stewart Gough platforms with a type II DM self-motion

Due to previous publications of the author, it is already known that one-parametric self-motions of general planar Stewart Gough platforms can be classified into two so-called Darboux Mannheim (DM) types (I and II). Moreover, the author also proved the necessity of three conditions for obtaining a type II DM self-motion. Based on this result we determine in the article at hand, all general plan...

متن کامل

Singularity-invariant leg rearrangements in doubly-planar Stewart-Gough platforms

In general, rearranging the legs of a Stewart-Gough platform, i.e., changing the locations of its leg attachments, modifies the platform singularity locus in a rather unexpected way. Nevertheless, some leg rearrangements have been recently found to leave singularities invariant but, unfortunately, these rearrangements are only valid for Stewart-Gough platforms containing rigid components. In th...

متن کامل

Review and recent results on Stewart Gough platforms with self-motions

In Section 1, we give a review on Stewart Gough (SG) platforms with self-motions and the related Borel Bricard problem. Moreover, in Section 2, we report about recent results achieved by the author on this topic (SG platforms with type II DM self-motions). In context of these results, we also present two new theorems in Section 3, which open the way for addressed future work. In Section 4, we g...

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

The Stewart–gough Platform of General Geometry Can Have 40 Real Postures

For a general Stewart–Gough platform, two rigid bodies connected by six rods attached via spherical joints, it is known that the maximum number of assembly modes can be at most 40 (counting complex modes as well). However, it was not known yet if there exist examples of Stewart–Gough platforms which actually possess 40 real (the only realizable) assembly modes or postures. This article presents...

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 2001