Method of Analysis and correction of the Error from Nonlinearity of the Measurement Instruments

Abstract

In this work are examined the characteristics of the error from nonlinearity of the static characteristic of the measuring instruments. The possibilities to correct this error are analyzed. Mathematical models are presented, in order to allow evaluation of the error from nonlinearity regarding the permissible error of the measurement result, as well as to draw the necessary algorithms for correction of this error. The models are developed, based on the method of the smallest modules.

Optical Systems for Reducing the Divergence of Laser Beams

“…where: 𝑧𝑧 𝑘𝑘 and 𝑧𝑧 𝑘𝑘 ′ are the confocal parameters of the beam before and after the collimating system. Expression (6) shows that in order to reduce the divergence it is necessary that 𝑀𝑀𝑀𝑀 < 1 . This is achieved by proper selection of the focal lengths 𝑓𝑓 1 ′ and 𝑓𝑓 2 ′ , which results in the required ratio between the confocal parameters of the beam, which in turn causes a decrease in the divergence and an increase in the size of the beam waist after the collimating system.…”

“…It is assumed that the type of the laser and its parameters are known: 𝜆𝜆, 𝜔𝜔 0 = 𝜔𝜔 1 , 𝜃𝜃 = 𝜃𝜃 1 , 𝑟𝑟 𝑘𝑘 = 𝑟𝑟 𝑘𝑘1 . The design of the two-component collimating system was developed in the following sequence: a) Determining the angular magnification 𝑀𝑀𝑀𝑀 by expression (6).…”

“…Laser radiation has specific properties such as coherence, high monochromaticity, high focus, high spectral and surface power. These properties of lasers allow the development of highly efficient devices and machines, fundamentally different from those operating with thermal sources of radiation [1] - [6]. In recent decades, lasers have expanded their application in technological processes related to machining of metals and alloys, such as: marking, engraving, cutting, drilling, scribing, etc.…”

Optical Geometric Design of Small Modular Cylindrical Gears With Asymmetric Profile

“…Based on the 20-years experience of the authors and over 60 publications on the problems of the asymmetrical profile, it has been found that a major problem in its use is the reversal of the direction of movement [1,2,3]. As a solution, the authors set out [4,5] a basic principle of interlocking, allowing the making of gears with an unachievable until now quality and strength indicators [12]. On the basis of the implications of this principle, three approaches have been developed for geometric synthesis and realization of unconditional areas of existence in the field of independent variables.…”

Method for Measuring Motion Parameters of Moving Objects

“…This complicated model for reproducing the direction of the vertical leads to a number of disadvantages such as a complex design resulting in a bigger instrumental error, low reliability under extreme conditions, need for special systems ensuring the operation of the gyro-vertical, larger dimensions, higher price of the instrument or system, etc. [9], [10].…”