Mathematical Model for Studying the Accuracy Characteristics of Devices for Measuring the Resonant Frequency of Oscillatory Systems
DOI:
https://doi.org/10.9734/bpi/naer/v5/10242DKeywords:
Resonant frequency, oscillatory system, amplitude-frequency characteristic, Q factor; nonlinearity, errorAbstract
The article presents a mathematical model for studying the accuracy characteristics of devices for measuring the resonant frequency of oscillatory systems for devices proposed by one of the co-authors, as well as traditional devices that are technically closer to known (prototypes) devices. The compiled mathematical model makes it possible to identify additional factors affecting the accuracy of the final measurement result and to carry out a comparative analysis of the basic error in measuring the resonant frequency of oscillatory systems, both concentrated and with distributed parameters, taking into account the errors introduced by the constituent blocks of the device. The block diagram of the model, the block diagram of the algorithm and tabular data of the study of devices for measuring the resonant frequency, developed by one of the co-authors, are presented, as well as tabular data of the results of comparative analysis in relation to traditionally known devices.
