In this work labeling of planar graphs is taken up which involves labeling the p vertices, the q edges and the f internal faces such that the weights of the faces form an arithmetic progression with common difference d. If d = 0, then the planar graph is said to have an Inner Magic labeling; and if d = 0, then it is Inner Antimagic labeling. Some new kinds of graphs have been developed which ha...

Local design and optimization of the components of a fault-management system results in sub-optimal decisions. This means that the target system will likely not meet its objectives (under-performs) or cost too much if conditions, objectives, or constraints change. We can fix this by applying a nested, management system for the fault-management system itself. We believe that doing so will produc...

We conjecture an exact formula for the Kontsevich integral of the unknot, and also conjecture a formula (also conjectured independently by Deligne [De]) for the relation between the two natural products on the space of Chinese characters. The two formulas use the related notions of “Wheels” and “Wheeling”. We prove these formulas ‘on the level of Lie algebras’ using standard techniques from the...

This paper describes a motion controller for differential drive vehicles with a compensation for castor wheel turn forces. The controller has been developed for electric wheelchairs with two front castor wheels, which require large steering forces to move into the direction given by the joystick in situations where a sharp turn of the castor wheels is needed. It computes the required forces to ...

Stress concentration and large displacements are usual problems in the components of the structure of agricultural machinery such harvesters coffee, and that finite element method (FEM) can be a tool to minimize its effects. The goal of this paper is to get results of stresses and displacements of a coffee harvester structure by using FEM for static simulation. The main parts of the coffee harv...

in front wheels driven vehicles, fuel economy can be obtained by summing torques applied to rear wheels. on the other hand, unequal torques applied to rear wheels provides enhanced safety. in this paper, a model with seven degrees of freedom is considered for the vehicle body. thereafter, power-train subsystems are modeled. considering an electrical machine on each rear wheel, a fuzzy controlle...

This paper discusses the mechanical design and simulation of a novel omnidirectional wheel based on Reuleaux-triangles. The main feature of our omniwheel is that the point of contact of the wheel with the floor is always at the same distance from the center of rotation. This produces smooth translational movement on a flat surface, even when the profile of the complete wheel assembly has gaps b...

We develop tracking control laws for a rigid spacecraft using both thrusters and momentum wheels. The model studied comprises a rigid body with external thrusters and with N rigid axisymmetric wheels controlled by axial torques. The thruster torques and the axial motor torques are the controls used to track given attitude motions. Specifically, the thruster torques are used to implement the coa...