Concept of Vector Multicomponent Physical Quantities, Models and Measurement Method
https://doi.org/10.21122/2220-9506-2022-13-4-281-290
Abstract
The paper presents a new view of vector physical quantities as multicomponent quantities. Each of the components of the mentioned multicomponent quantities can carry important and even unique information about the sources and causes of their occurrence. Looking at the vector quantity as the multicomponent quantity led to the need to form the corresponding conception. There are three positions of this conception in this paper, which are formulated as follows: vector multicomponent physical quantities are considered as functions of the set of their constituent information components; the communication functions of the specified information components in the models of multicomponent physical quantities are determined by the laws of vector algebra; information models of vector multicomponent physical quantities allow an alternative representation of information components depending on the selected coordinate system.
The mathematical model of the vector multicomponent physical quantity is presented. This model is fundamental and directly follows from the positions of the conception formulated above. This model can be applied to describe multicomponent displacements and deformations that both simple and complex objects undergo. An example of the complex object can be the manipulator of the universal industrial robot. The space for modeling multicomponent displacements of simple objects was shown in the paper. Information models of vector multicomponent physical quantities allow one to alternatively represent informative components. And the task of constructing such models is complex and ambiguous. Therefore, the formal apparatus for the synthesis of such models, which is based on certain rules and conventions, was proposed in the paper. The theoretical foundations of the method of optical measurements of informative components of multicomponent displacements and deformations of simple objects, which involves the use of multidimensional test objects, are presented.
About the Author
V. N. NesterovRussian Federation
Address for correspondence:
Nesterov V.N. –
Samara National Research University,
Moskovskoe highway, 34А, Samara 443086, Russia
e-mail: nesterov.ntc@yandex.ru
References
1. RMG 29-2013. Gosudarstvennaya sistema obespecheniya edinstva izmerenij. Metrologiya. Osnovnye terminy i opredeleniya [RIS 29-2013. State system for ensuring the uniformity of measurements. Metrology. Basic terms and definitions]. Moscow, Standartinform Publ., 2014, 56 p.
2. Nesterov V.N. [Theoretical foundations for measuring the components of vector multicomponent physical quantities]. Trudy III mezhdunarodnoj konferencii «Identifikaciya sistem i zadachi upravleniya» [Proceedings of the III International Conference “Identification of Systems and Management Problems”]. Moscow, Institute of Management Problems named after V.A. Trapeznikov RAS Publ., 2004, pp. 1691–1700 (in Russian).
3. Nesterov V.N. [The conception of vector multicomponent physical quantities and its application]. Trudy IV mezhdunarodnoj konferencii i molodezhnoj shkoly «Informacionnye tekhnologii i nanotekhnologii» (ITNT-2018) [Proceedings of the IV International Conference and Youth School “Information Technologies and Nanotechnologies” (ITNT-2018)]. Samara, Samara National Research University named after academician S.P. Korolev Publ., 2018, pp. 1822–1832 (in Russian).
4. Nesterov V.N. Mathematical modeling of complex multicomponent movements and optical method of measurement. CEUR Workshop Proceedings, 2016, vol. 1638, pp. 642–649. DOI: 10.18287/1613-0073-2016-1638-642-649
5. Fu K.S., Gonzalez R.C., Lee C.S.G. Robotics: control, sensing, vision and intelligence. New York, Paris: Ms Grow-Hill etc., 1987, 580 p.
6. Metody i sredstva izmerenij mnogomernyh peremeshchenij elementov konstrukcij silovyh ustanovok [Methods and tools for measuring multidimensional displacements of structural elements of power plants]. Ed. YU.N. Sekisov, O.P. Skobelev. Samara, Samarskij nauchnyj centr RAN Publ., 2001, 188 p.
7. Bondarenko L.N., Nefediev D.I. [Analysis of test methods to improve measure-ment accuracy]. Izmerenie. Monitoring. Upravlenie. Kontrol [Measurement. Monitoring. Management. Control.], 2014, no. 1(7), pp. 15–20 (in Russian).
8. Svistunov B.L. [Measuring transducers for parametric sensors using analytical redundancy]. Izmerenie. Monitoring. Upravlenie. Kontrol [Measurement. Monitoring. Management. Control.], 2017, no. 2(20), pp. 94– 100 (in Russian).
9. Zemel’man M.A. Avtomaticheskaya korrekciya pogreshnostej izmeritel'nyh ustrojstv [Automatic correction of measurement devices errors]. Moscow, Publishing house of standards, 1972, 199 p.
10. Nesterov V.N., Meshchanov A.V., Muhin V.M. Sposob izmereniya komponentov slozhnyh peremeshchenij ob"ekta [Method for measuring the components of complex displacements of an object]. Patent RF, no. 2315948, 2006.
11. Nesterov V.N., Nesterov D.V., Muhin V.M. Sposob izmereniya komponentov slozhnyh peremeshchenij ob"ekta [Method for measuring the components of complex displacements of an object]. Patent RF, no. 2610425, 2015.
Review
For citations:
Nesterov V.N. Concept of Vector Multicomponent Physical Quantities, Models and Measurement Method. Devices and Methods of Measurements. 2022;13(4):281-290. https://doi.org/10.21122/2220-9506-2022-13-4-281-290