A control method of attractor migration in nonlinear vibration isolation system

Abstract

The invention discloses an attractor migration control method for a nonlinear vibration isolation system, and the method comprises the following steps: 1), analyzing a nonlinear vibration isolation system, and building a dynamic model of the nonlinear vibration isolation system; 2), carrying out the analysis of the global behavior of the nonlinear vibration isolation system according to the dynamic model, and obtaining a global behavior which comprises the size and position of an attractor and the intensity of an attraction domain; 3), employing an attractor migration control strategy according to an analysis result at step 2), and enabling the motion on a large-amplitude periodic attractor to be changed to a small-amplitude chaotic attractor; 4), employing a control effect index set, andcarrying out the comprehensive assessment of a line spectrum control effect after migration control. The method provided by the invention can enable the motion on the large-amplitude periodic attractor to be quickly migrated to the small-amplitude chaotic attractor, remains the motion on the small-amplitude chaotic attractor as much as possible, and enables a system to continuously operate on theattractor which has the minimum amplitude and the low line spectrum intensity.

Description

technical field [0001] The invention relates to vibration and noise control technology, in particular to an attractor migration control method for a nonlinear vibration isolation system. Background technique [0002] The low-frequency line spectrum components in submarine radiated underwater sound are the main characteristic signals for passive sonar to search, track and identify targets in underwater acoustic countermeasures, and are the main hazards to submarine acoustic stealth performance and tactical technical performance. The line spectrum chaotic method utilizes the characteristic that the response spectrum is continuous when the nonlinear vibration isolation system is in a chaotic state, which can effectively weaken the line spectrum vibration energy and improve the acoustic stealth performance of the submarine. However, the multivalued nature of nonlinear systems makes nonlinear vibration isolation systems have multiple attractors with different topological characte...

AI Technical Summary

Problems solved by technology

At present, the migration control methods mainly include open-loop control, closed-loop control, open-loop plus linear closed-loop control, but the requirements of open-loop control and closed-loop control are very strict, and it is difficult to determine the range and existence of the transmission domain for both; The loop plus linear closed-loop control has a high control effect only for the system whose right end of the differential equation is a second-order polynomial, and the open-loop plus linear closed-loop control is limited by the convergence area and the conveying basin

Images