A Mathematical and Numerically Integrable Modeling of 3D Object Grasping under Rolling Contacts between Smooth Surfaces

المؤلفون المشاركون

Arimoto, Suguru
Yoshida, Morio

المصدر

Modelling and Simulation in Engineering

العدد

المجلد 2011، العدد 2011 (31 ديسمبر/كانون الأول 2011)، ص ص. 1-8، 8ص.

الناشر

Hindawi Publishing Corporation

تاريخ النشر

2011-11-02

دولة النشر

مصر

عدد الصفحات

8

التخصصات الرئيسية

هندسة مدنية

الملخص EN

A computable model of grasping and manipulation of a 3D rigid object with arbitrary smooth surfaces by multiple robot fingers with smooth fingertip surfaces is derived under rolling contact constraints between surfaces.

Geometrical conditions of pure rolling contacts are described through the moving-frame coordinates at each rolling contact point under the postulates: (1) two surfaces share a common single contact point without any mutual penetration and a common tangent plane at the contact point and (2) each path length of running of the contact point on the robot fingertip surface and the object surface is equal.

It is shown that a set of Euler-Lagrange equations of motion of the fingers-object system can be derived by introducing Lagrange multipliers corresponding to geometric conditions of contacts.

A set of 1st-order differential equations governing rotational motions of each fingertip and the object and updating arc-length parameters should be accompanied with the Euler-Lagrange equations.

Further more, nonholonomic constraints arising from twisting between the two normal axes to each tangent plane are rewritten into a set of Frenet-Serre equations with a geometrically given normal curvature and a motion-induced geodesic curvature.

نمط استشهاد جمعية علماء النفس الأمريكية (APA)

Arimoto, Suguru& Yoshida, Morio. 2011. A Mathematical and Numerically Integrable Modeling of 3D Object Grasping under Rolling Contacts between Smooth Surfaces. Modelling and Simulation in Engineering،Vol. 2011, no. 2011, pp.1-8.
https://search.emarefa.net/detail/BIM-490307

نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)

Arimoto, Suguru& Yoshida, Morio. A Mathematical and Numerically Integrable Modeling of 3D Object Grasping under Rolling Contacts between Smooth Surfaces. Modelling and Simulation in Engineering No. 2011 (2011), pp.1-8.
https://search.emarefa.net/detail/BIM-490307

نمط استشهاد الجمعية الطبية الأمريكية (AMA)

Arimoto, Suguru& Yoshida, Morio. A Mathematical and Numerically Integrable Modeling of 3D Object Grasping under Rolling Contacts between Smooth Surfaces. Modelling and Simulation in Engineering. 2011. Vol. 2011, no. 2011, pp.1-8.
https://search.emarefa.net/detail/BIM-490307

نوع البيانات

مقالات

لغة النص

الإنجليزية

الملاحظات

Includes bibliographical references

رقم السجل

BIM-490307