Generalized Boozer coordinates: A natural coordinate system for quasisymmetry

A Generalized Recursive Coordinate Reduction Method for Multibody System Dynamics

Th e method of recursive coordinate reduction (RCR) off ers solutions to the forward problem of multibody dynamics at a cost in which the number of operations is linear in both the number of generalized coordinates, n, and the number of independent algebraic constraints, m (e.g., O(n + m)). However, the RCR is presently restricted in applicability (albeit broad) and susceptible to formulation s...

Generalized barycentric coordinates

Visual Generalized Coordinates

An open problem in robotics is that of using vision to identify a robot’s own body and the world around it. Many models attempt to recover the traditional C-space parameters. Instead, we propose an alternative C-space by deriving generalized coordinates from n images of the robot. We show that the space of such images is bijective to the motion space, so these images lie on a manifold V homeomo...

Generalized Lorentz Coordinate Transformation

This paper derives equations for generalized Lorentz coordinate transformation based on a simple principle that only the wave equation must be form invariant and valid in both coordinate systems. The usual requirement that the speed of light is a universal constant and thus has an identical value in any inertial coordinate systems is removed. This leads to some interesting conclusions and possi...

An Exact Solution for Lord-Shulman Generalized Coupled Thermoporoelasticity in Spherical Coordinates

In this paper, the generalized coupled thermoporoelasticity model of hollow and solid spheres under radial symmetric loading condition (r, t) is considered. A full analytical method is used and an exact unique solution of the generalized coupled equations is presented. The thermal, mechanical and pressure boundary conditions, the body force, the heat source and the injected volume rate per unit...