Abstract: Dual quaternions are used to derive equations of motion for an offset unsymmetrical gyroscope. From the equations, in view of the general characteristics of this six-degree-of-freedom system, ...

Abstract: Understanding the dynamic behavior of mechanisms, which is essential to their high-speed applications, demands a clear knowledge of the acceleration of the output relative to input. Such knowledge ...

Abstract: A closure equation, in terms of matrices with dual-number elements, for spatial five-link mechanisms, is presented in this paper. From the equation, a set of displacement equations for a RCRCR ...

Abstract: The objective of this paper is to make instantaneous invariants a more accessible tool for problem solving in the field of kinematics. We present a systematic procedure to determine the ...

Abstract: The paper generalizes the concepts of canonical systems and instantaneous invariants from planar to three-dimensional kinematics. It presents a systematic procedure to determine the instantaneous ...

Abstract: Dual-number quaternion algebra has been used to obtain explicit, closed-form algebraic expressions for the displacements, velocities, velocity ratios, forces, torques, mechanical advantages, transmission ...

Abstract: Characteristic numbers are derived which define a spherical curve, within a stretch rotation, to a given order. The loci of all points, which have the same characteristic numbers, under rigid ...

Abstract: The kinematics, statics, and inertia-force analysis of epicyclic bevel-gear trains have been described. Beginning with the general case of nonparallel, nonintersecting axes, the results are specialized ...

Abstract: In this paper we present a dynamic analysis of a general spherical four-link mechanism whose links have arbitrary mass distribution. Results, which are in explicit analytical expressions in terms ...