Influence of material distribution and damping on the dynamic stability of Bernoulli-Euler beams

Sebastian Garus; Justyna Garus; Wojciech Sochacki; Marcin Nabiałek; Jana Petru; Wojciech Borek; Michal Šofer; Paweł Kwiatoń

doi:10.24425/bpasts.2023.145567

Authors

Sebastian Garus Faculty of Mechanical Engineering and Computer Science, Czestochowa University of Technology, Poland https://orcid.org/0000-0002-6649-5435
Justyna Garus Faculty of Mechanical Engineering and Computer Science, Czestochowa University of Technology, Poland https://orcid.org/0000-0001-8001-2113
Wojciech Sochacki Faculty of Mechanical Engineering and Computer Science, Czestochowa University of Technology, Poland https://orcid.org/0000-0002-2764-6480
Marcin Nabiałek Faculty of Production Engineering and Materials Technology, Department of Physics, Czestochowa University of Technology, Armii Krajowej 19, 42-201 Czestochowa, Poland https://orcid.org/0000-0001-6585-3918
Jana Petru Department of Machining, Assembly and Engineering Metrology, Faculty of Mechanical Engineering, VSB-Technical University of Ostrava, 70833 Ostrava, Czech Republic https://orcid.org/0000-0002-2378-5678
Wojciech Borek Department of Engineering Materials and Biomaterials, Silesian University of Technology, Konarskiego 18A, 44-100 Gliwice, Poland https://orcid.org/0000-0002-8292-4332
Michal Šofer Department of Applied Mechanics, Faculty of Mechanical Engineering, VSB—Technical University of Ostrava, 17. listopadu 2172/15, 70800 Ostrava, Czech Republic https://orcid.org/0000-0002-9253-5760
Paweł Kwiatoń Faculty of Mechanical Engineering and Computer Science, Czestochowa University of Technology, Poland https://orcid.org/0000-0002-0067-0384

DOI:

https://doi.org/10.24425/bpasts.2023.145567

Keywords

mechanical vibrations, damping, beam, dynamic stability, Mathieu equation

Abstract

The study analyzed the influence of materials and different types of damping on the dynamic stability of the Bernoulli-Euler beam. Using the mode summation method and applying an orthogonal condition of eigenfunctions and describing the analyzed system with the Mathieu equation, the problem of dynamic stability was solved. By examining the influence of internal and external damping and damping in the beam supports, their influence on the regions of stability and instability of the solution to the Mathieu equation was determined.

Influence of material distribution and damping on the dynamic stability of Bernoulli-Euler beams

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Influence of material distribution and damping on the dynamic stability of Bernoulli-Euler beams

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