A Displacement Metric for Finite Sets of Rigid Body Displacements
نویسندگان
چکیده
Venkatesh Venkataramanujam Robotics & Spatial Systems Laboratory Department of Mechanical and Aerospace Engineering Florida Institute of Technology Melbourne, Florida 32901 Email: [email protected] Pierre Larochelle∗ Robotics & Spatial Systems Laboratory Department of Mechanical and Aerospace Engineering Florida Institute of Technology Melbourne, Florida 32901 Email: [email protected] Information in Engineering Conference I / I Au ust 3-6, 2008, Brooklyn, New York, USA Proceedings of the ASME 2008 International Design Engineering Technical Conferences & Computers and
منابع مشابه
A Metric for Finite Sets of Displacements
ABSTRACT There are various useful metrics for finding the distance between two points in Euclidean space. Metrics for finding the distance between two rigid body locations in Euclidean space depend on both the coordinate frame and units used. A metric independent of these choices is desirable. This paper presents a metric for a finite set of rigid body displacements. The methodology uses the pr...
متن کاملProjection Metrics for Rigid-body Displacements
An open research question is how to define a useful metric on SE(n) with respect to (1) the choice of coordinate frames and (2) the units used to measure linear and angular distances. We present two techniques for approximating elements of the special Euclidean group SE(n) with elements of the special orthogonal group SO(n+1). These techniques are based on the singular value and polar decomposi...
متن کاملAn Efficient Strain Based Cylindrical Shell Finite Element
The need for compatibility between degrees of freedom of various elements is a major problem encountered in practice during the modeling of complex structures; the problem is generally solved by an additional rotational degree of freedom [1-3]. This present paper investigates possible improvements to the performances of strain based cylindrical shell finite element [4] by introducing an additio...
متن کاملAnalysis of Axisymmetric and Non-Axisymmetric Stretching of Sheet Metals by the Finite Element Method
Stretching process of sheet metals in both cases of axisymmetric and non-axisymmetric is analyzed. A rigid-plastic, normal anisotrop material is assumed and large strain formulation is applied. Triangular elements are used and stiffness equations of elements are obtained from virtual work principle. These nonlinear equations are linearized by Newton-Raphsons method and are solved by Gaussian el...
متن کاملAnalysis of Axisymmetric and Non-Axisymmetric Stretching of Sheet Metals by the Finite Element Method
Stretching process of sheet metals in both cases of axisymmetric and non-axisymmetric is analyzed. A rigid-plastic, normal anisotrop material is assumed and large strain formulation is applied. Triangular elements are used and stiffness equations of elements are obtained from virtual work principle. These nonlinear equations are linearized by Newton-Raphson's method and are solved by Gaussian e...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008