Dynamic Stability of the Periodic and Aperiodic Structures of the Bernoulli-Euler Beams

• Autorzy: Garus Justyna , Petrů Jana , Sochacki Wojciech , Garus Sebastian

Identyfikatory

DOI

10.24425/amm.2024.147819

• Języki publikacji: EN

Abstrakty

EN

The study analyzed the influence of periodic and aperiodic stiffness distribution for the four-element Bernoulli-Euler beam on the first two eigenfrequencies and the dynamic stability of the system. The influence of increasing the ratio of cross-sections of the analyzed elements was also analyzed. Significant differences were found in eigenfrequencies and dynamic stability. Using the variational Hamilton principle, the equation of motion was derived, on the basis of which the values of the eigenfrequencies were determined, and the transformation into the form of the Mathieu equation made it possible to determine the dynamic stability for the analyzed structures.

Słowa kluczowe

EN

beam; dynamic stability; Mathieu equation; aperiodic structure

• Wydawca: Institute of Metallurgy and Materials Science of Polish Academy of Sciences ; Committee of Materials Engineering and Metallurgy of Polish Academy of Sciences
• Czasopismo: Archives of Metallurgy and Materials
• Rocznik: 2024
• Tom: Vol. 69, iss. 1
• Strony: 275--279
• Opis fizyczny: Bibliogr. 28 poz., rys., wzory

Twórcy

autor

Garus Justyna

• Czestochowa University of Technology, Department of Mechanics and Machine Design Fundamentals, Faculty of Mechanical Engineering and Computer Science, 73 Dąbrowskiego Str., 42-201 Częstochowa, Poland

• https://orcid.org/0000-0001-8001-2113

autor

Petrů Jana

• VSB - Technical University of Ostrava, Faculty of Mechanical Engineering Department of Machining, Assembly and Engineering Metrology, 70833 Ostrava, Czech Republic

• https://orcid.org/0000-0002-2378-5678

autor

Sochacki Wojciech

• Czestochowa University of Technology, Department of Mechanics and Machine Design Fundamentals, Faculty of Mechanical Engineering and Computer Science, 73 Dąbrowskiego Str., 42-201 Częstochowa, Poland

• https://orcid.org/0000-0002-2764-6480

autor

Garus Sebastian

• Czestochowa University of Technology, Department of Mechanics and Machine Design Fundamentals, Faculty of Mechanical Engineering and Computer Science, 73 Dąbrowskiego Str., 42-201 Częstochowa, Poland

• https://orcid.org/0000-0002-6649-5435

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