Investigation of vibrations of complex mechanical systems

Abstract

In this work, a unified methodological approach and software for the calculation of structural elements under the action of vibration loads are proposed. Algorithms for determining the dynamic characteristics of machine-building structures are based on methods of forming Rayleigh-type functionals and minimizing them by coordinate descent. This approach avoids the problems associated with the formation, saving and handling of global stiffness and mass matrices. This makes it possible to significantly save the RAM of a personal computer when solving large-scale problems. The developed software is formed according to the modular principle, which makes it possible to improve and develop this package of application programs taking into account modern needs. The proposed software approach was debugged on a large number of applied problems and implemented in engineering practice. The urgent task of determining the stability of the Pico21 centrifuge movement has been solved.