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Поле Співвідношення
 
Title Mathematical model of multi-frequency piezoresonance oscillation system
 
Names Zelensky, A.A.
Pidchenko, S.K.
Taranchuk, A.A.
Date Issued 2013 (iso8601)
Abstract The paper represents the basic model of multi-frequency piezoresonance oscillation system (MPOS) – the
piezoresonance devices (PRD) core, which enables to study the processes of establishing multi-frequency oscillation mode
and its stability. The basic structure of multi-channel multi-frequency PRD core, which is based on principles of filter
schemes, is proposed, and the main designations are entered. The peculiarities of truncated differential equations for amplitude,
phase and auto-bias voltage of MPOS for the quantity of simultaneously generated frequencies m³ 2 are examined.
On the example of three-frequency mode of oscillation under polynomial approximation of transferable characteristics of
active elements the characteristic cases of establishing oscillations in MPOS are represented. The area of a steady
three-frequency oscillating behavior is defined and the assessment of time of establishment of oscillations and value of group
runout of frequencies is made. Received results enable to form a new approach to construction of piezoresonance devices
with controlled dynamics, which are represented in the form of adaptive controlled systems with predictive standard model
and develop on its basis the new class of invariant to destabilizing disturbing PRD factors. On the basis of such approach
there is the principle of using natural redundancy in multi-frequency basis of PRD core – multi-frequency oscillation system,
which enables not only to synthesize the system with current identification of disturbing factors on basis of instruments of
invariance theory, but also do the adaptation of PRD in accordance with their influences.
Genre Стаття
Topic Stabilization of Oscillations
Identifier Pidchenko S. Mathematical Model of Multi-Frequency Piezoresonance Oscillation System / A. A. Zelensky, S. K. Pidchenko, A. A. Taranchuk // Communications. – 2013. – Vol. 1, No. 1. – P. 1-8.