Methods of forming vibration modes of test benches with two vibration exciters

Аuthors

Eliseev A. V.^*, Kuznetsov N. K.^**

Irkutsk National Research Technical University, 83, Lermontov str., Irkutsk, 664074, Russia

*e-mail: eavsh@ya.ru
**e-mail: knik@istu.edu

Abstract

The article discusses the tasks of assessing, forming and correcting the dynamic states of technical objects modeled by mechanical oscillatory systems. The research is focused on the development of mathematical models of vibration test benches for long-length structures critical to aerospace engineering, such as spars and helicopter blades. Based on the methods of structural mathematical modeling, the theory of oscillations and elements of the theory of automatic control, a structural mathematical model of a stand with two vibration exciters has been developed. The model, reduced to four degrees of freedom by taking into account rigid joints, allows for analyzing the system's dynamics. The key result is the demonstration of the possibility of implementing simultaneous dynamic vibration damping modes at two points of the exciter installation by varying the coupling coefficient between external harmonic influences. It is established that the convergence of the dynamic damping frequencies with the natural frequencies of the system leads to specific forms of vibrations that exclude resonant phenomena. The obtained results open up the possibility of optimizing the parameters of vibration stands for effective testing of complex aerospace structures, where the test sample itself can act as a dynamic vibration absorber, increasing the reliability and safety of the tests.

Keywords:

structural mathematical modeling; mechanical oscillatory system; transfer function; dynamic vibration damping modes; vibration stand; simultaneous dynamic vibration damping modes in two coordinates; dynamic vibration dampener

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