Free vibration analysis of a single edge cracked symmetric functionally graded stepped beams
| Autor: | Shkelzen Shabani, Yusuf Cunedioglu |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Timoshenko beam theory
Materials science business.industry 02 engineering and technology Building and Construction Structural engineering Edge (geometry) 021001 nanoscience & nanotechnology Finite element method Vibration 020303 mechanical engineering & transports 0203 mechanical engineering 0210 nano-technology business Civil and Structural Engineering |
| Zdroj: | Advances in Structural Engineering. 23:3415-3428 |
| ISSN: | 2048-4011 1369-4332 |
| DOI: | 10.1177/1369433220939214 |
| Popis: | Free vibration analysis of a single edge cracked multi-layered symmetric sandwich stepped Timoshenko beams, made of functionally graded materials, is studied using finite element method and linear elastic fracture mechanic theory. The cantilever functionally graded beam consists of 50 layers, assumed that the second stage of the beam (step part) is created by machining. Thus, providing the material continuity between the two beam stages. It is assumed that material properties vary continuously, along the thickness direction according to the exponential and power laws. A developed MATLAB code is used to find the natural frequencies of three types of the stepped beam, concluding a good agreement with the known data from the literature, supported also by ANSYS software in data verification. In the study, the effects of the crack location, crack depth, power law gradient index, different material distributions, different stepped length, different cross-sectional geometries on natural frequencies and mode shapes are analysed in detail. |
| Databáze: | OpenAIRE |
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