2014
DOI: 10.2478/msr-2014-0025
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A Model of the Dynamic Error as a Measurement Result of Instruments Defining the Parameters of Moving Objects

Abstract: The present paper considers a new model for the formation of the dynamic error inertial component. It is very effective in the analysis and synthesis of measuring instruments positioned on moving objects and measuring their movement parameters. The block diagram developed within this paper is used as a basis for defining the mathematical model. The block diagram is based on the set-theoretic description of the measuring system, its input and output quantities and the process of dynamic error formation. The mod… Show more

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Cited by 39 publications
(14 citation statements)
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“…A distinguishing feature of the measuring instruments considered in this paper is that they operate under conditions of dynamic actions created either by motion of moving objects (shaking of ships, fluctuations of aircraft and road means of transport) or by vibrations existing in the location of the measuring instruments [4]. These motions generate inertial forces and moments which act upon the measuring instruments and systems causing a dynamic error in the measurement result [5]. When no appropriate solutions exist in the metrological chains and procedures of the measuring instruments, the dynamic error can be considerable, which leads to high inaccuracy of the measurement result.…”
Section: A Block Diagram Of the Measuring Methodsmentioning
confidence: 99%
See 1 more Smart Citation
“…A distinguishing feature of the measuring instruments considered in this paper is that they operate under conditions of dynamic actions created either by motion of moving objects (shaking of ships, fluctuations of aircraft and road means of transport) or by vibrations existing in the location of the measuring instruments [4]. These motions generate inertial forces and moments which act upon the measuring instruments and systems causing a dynamic error in the measurement result [5]. When no appropriate solutions exist in the metrological chains and procedures of the measuring instruments, the dynamic error can be considerable, which leads to high inaccuracy of the measurement result.…”
Section: A Block Diagram Of the Measuring Methodsmentioning
confidence: 99%
“…The block diagram developed in [5] offers a new approach to modeling and examining the dynamic error. It is based on the mathematical model of the function of the dynamic error as an independent component having particular characteristics and participating in the formation of the measurement result.…”
Section: The Mathematical Model Of the Dynamic Errormentioning
confidence: 99%
“…This modeling concept can overcome the disadvantages of the existing measuring instruments as it is based, on one hand, on a very simplified mechanical module, and on the other hand, on the possibilities of modern measuring equipment in the area of dynamic measurements. In addition, it is based on successfully integrated processing algorithms [8,9,10] intended for eliminating the dynamic error [9,11].…”
Section: A Concept Of Modeling Measuring Instrumentsmentioning
confidence: 99%
“…and the proposed processing procedure of the measuring system, vector ) t ( x r is determined by the motion of the physical pendulum along the β coordinate, which actually defines the dynamic error in this measuring channel. Error β is explained in detail in [9,17,18]. By transforming equation (1) from a continuous time function into a discrete time function, the following expression is obtained for the forecast estimate [16] …”
Section: Structural Model Of the Algorithmmentioning
confidence: 99%