A method for selection of structural theories for low to high frequency vibration analyses
| Autor: | Mohammad Tahaye Abadi, Hassan Haddadpour, M. Sadeghmanesh, H.M. Navazi |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Timoshenko beam theory
Computer science business.industry Wave propagation Mechanical Engineering General Physics and Astronomy Rotary inertia 02 engineering and technology Structural engineering 021001 nanoscience & nanotechnology Structural theory Vibration chemistry.chemical_compound 020303 mechanical engineering & transports 0203 mechanical engineering chemistry Mechanics of Materials Frequency domain General Materials Science 0210 nano-technology business Energy (signal processing) Beam (structure) |
| Zdroj: | European Journal of Mechanics - A/Solids. 75:27-40 |
| ISSN: | 0997-7538 |
| DOI: | 10.1016/j.euromechsol.2019.01.004 |
| Popis: | Energy methods such as Energy Flow and Statistical Energy Analyses have been popularly used to predict the medium to high frequency vibro-acoustic response of several structures. In these energy methods, usually the common simple structural theories are used for simplicity. Since, the effects of shear deformation and rotary inertia at high frequency regions are unavoidable, it is necessary to determine the validity of these theories in each frequency domain. This paper aims to propose a method for defining a criteria to select a proper structural theory based on the order of shear deformation and rotary inertia to be used in vibration analyses. Several common as well as higher-order beam theories are chosen as test examples to derive and compare the key wave parameters to evaluate the effects of shear deformation and rotary inertia for wave propagation in near-field and far-field regions. Based on the results, a new classification of the frequency range is introduced for selecting an appropriate beam theory and commensurate method for wave propagation and vibration analyses. The same method can be used for other structures to define a proper structural theory based on shear deformation and rotary inertia terms for low to high frequency vibration analyses. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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