Hypothesis Of Linear Relationship Research Articles

Testing the assumption of linear dependence between the rolling friction torque and normal force

Rolling friction is present in all nonconforming bodies in contact. A permanent topic is the characterization of the moment of rolling friction. A number of authors accept the hypothesis of linear dependency between the rolling torque and the normal force while other researchers disagree with this assumption. The present paper proposes a method for testing the hypothesis of linear relationship between rolling moment and normal pressing force. A doubly supported cycloidal pendulum is used in two situations: symmetrically and asymmetrically supported, respectively. Under the hypothesis of a linear relationship, the motions of the pendulum should be identical.

Optimal design of measurement systems for current distribution measurement in parallel cables

Purpose – The purpose of this paper is to propose the optimal allocation and alignment of probes for current distribution measurement (CDM) in the case of twin cable in conduit conductor (CICC) cables with equal and opposite current.Design/methodology/approach – The most effective approach to CDM in CICC cables is to perform indirect measurements starting from magnetic field map measured externally to the cable. A number of approaches have been proposed to optimize the layout of magnetic field probes external to the cable, but all dealing with single cables. In this paper, an approach to the optimized design of measurement system for twin cables will be proposed, based on the minimization of a suitable cost function.Findings – A method for the optimal allocation of probes both in terms of rejection of the background field and of condition number of the Green matrix has been defined.Research limitations/implications – The method is valid only in the hypothesis of linear relationship between currents and ma...