Determination of the Dynamic Young’s Modulus and Poisson’s Ratio Based on Higher Frequencies of Beam Transverse Vibration
Autor: | D. M. Dimitrov, Victor Alexeevich Chirikov, Yordan Simeonov Boyadjiev |
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Rok vydání: | 2020 |
Předmět: |
0209 industrial biotechnology
Cantilever Materials science transverse vibration Mathematical analysis Young's modulus impulse excitation Modulus 02 engineering and technology Poisson's ratio Poisson distribution Industrial and Manufacturing Engineering symbols.namesake 020303 mechanical engineering & transports 020901 industrial engineering & automation 0203 mechanical engineering Transverse vibration Artificial Intelligence symbols Boundary value problem natural frequencies Beam (structure) |
Zdroj: | Procedia Manufacturing. 46:87-94 |
ISSN: | 2351-9789 |
DOI: | 10.1016/j.promfg.2020.03.014 |
Popis: | In this paper, we suggest an experimental technique for the simultaneous determination of elastic constants (i.e.,Young’s modulus and Poisson’s ratio) based on measured higher natural frequencies of beam transverse vibration. The technique utilizes a universal relationship, derived in our prior research and proven valid for any boundary conditions imposed on a beam, as well as across all natural frequencies of beam transverse vibration. This provides an opportunity for the simultaneous calculation of Young’s modulus and Poisson’s ratio of a specimen by fitting the universal relationship to the experimentally derived higher natural frequencies of beam transverse vibration. The determination of the elastic constants for free-free and cantilever beams made from various materials and cross-sections is presented. Study results are compared to other published research and differences are comprehensively discussed. |
Databáze: | OpenAIRE |
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