On the qualitative analysis of nonlinear resonant modes in multidimensional structures


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Abstract

The resonant behavior of multidimensional structures simulated via strongly nonlinear dynamic systems has been studied. The energy balance principle has been applied for the qualitative analysis of these systems. The number of potential nonlinear resonant modes under periodic polyharmonic force and parametric excitation has been estimated. The dynamic effects have been investigated and examples have been provided.

About the authors

V. L. Krupenin

Blagonravov Mechanical Engineering Research Institute of the Russian Academy of Sciences

Author for correspondence.
Email: krupeninster@gmail.com
Russian Federation, Moscow, 101990

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