2 Rigid - Body Kinematics

نویسنده

  • Gregory S. Chirikjian
چکیده

Gregory S. Chirikjian Johns Hopkins University 2.1 Rotations in Three Dimensions Rules for Composing Rotations • Euler Angles • The Matrix Exponential 2.2 Full Rigid-Body Motion Composition of Motions • Screw Motions 2.3 Homogeneous Transforms and the Denavit-Hartenberg Parameters Homogeneous Transformation Matrices • The Denavit-Hartenberg Parameters in Robotics 2.4 Infinitesimal Motions and Associated Jacobian Matrices Angular Velocity and Jacobians Associated with Parametrized Rotations • The Jacobians for Z X Z Euler Angles • Infinitesimal Rigid-Body Motions

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

Tenth World Congress on the Theory of Machine and Mechanisms

In this paper, we study the two positions displacement of a rigid body when six constraints are defined between the initial and final locations of the body. It is desired to calculate the screw parameters for this rigid body displacement. Two cases where two different sets of six constraints are imposed on the rigid body displacement are considered. A new method, called the “method of loci” is ...

متن کامل

A Note on the Kinematics of Rigid Molecules in Linear Flow Fields and Kinetic Theory for Biaxial Liquid Crystal Polymers

We present a systematic derivation of the extended Jefferys’ orbit for rigid ellipsoidal and V-shaped polymer molecules in linear incompressible viscous flows using a Lagrange multiplier’s method based on a constraining force argument [5]. It reproduces the well-known Jefferys’ orbit for rotating ellipsoids [12]. The method is simple and applicable to any rigid body immersed in a linear flow fi...

متن کامل

Kinematics, workspace and static analyses of 2-DOF flexure parallel mechanism

In this paper, we propose a 2-DOF parallel mechanism with flexure hinges. The kinematics and static analyses of this mechanism are studied in order to determine the kinematics properties, workspace, holding forces of the actuators and the reaction forces at the flexure hinges. These factors are useful for design process of this mechanism. The pseudo-rigid-body model (PRB model) of this mechanis...

متن کامل

Lie Groups and Lie Algebras in Robotics

In this lecture the group of rigid body motions is introduced via its representation on standard three dimensional Euclidian space. The relevance for robotics is that the links of a robot are usually modelled as rigid bodies. Moreover the payload of a robot is also usually a rigid body and hence much of robotics is concerned with understanding rigid transformations and sequences of these transf...

متن کامل

On contact interaction between a moving massive body and a linear elastic half space

We study a class of problems involving the motion of a linear elastic body in frictional contact with a linear elastic half space. The dynamic effects considered are the inertial properties of the body regarded as rigid. We study only those regimes of contact interaction for which the slip velocity with the body taken as absolutely rigid and the time rate of change of the elastic displacements ...

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 2004