A lumped parameter model for exponentially tapered piezoelectric beam in transverse vibration
| Autor: | Seyed Ali Hosseini Kordkheili, Omid Fakharian, Hamed Salmani |
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| Rok vydání: | 2019 |
| Předmět: |
Physics
0209 industrial biotechnology Cantilever Mechanical Engineering Base (geometry) Tapering 02 engineering and technology Mechanics Piezoelectricity Power (physics) Vibration 020303 mechanical engineering & transports 020901 industrial engineering & automation 0203 mechanical engineering Mechanics of Materials Physics::Accelerator Physics Excitation Beam (structure) |
| Zdroj: | Journal of Mechanical Science and Technology. 33:2043-2048 |
| ISSN: | 1976-3824 1738-494X |
| DOI: | 10.1007/s12206-019-0407-x |
| Popis: | Tapered piezoelectric beams, because of their more efficiency to generate power, are required to be analyzed by simple models. In this paper, single degree of freedom (SDOF) relations are used to model transvers vibration of an exponentially tapered piezoelectric beam. For this purpose, first, response of the damped cantilevered Euler–Bernoulli beam with base excitation is obtained. Then, lumped parameters of the beam are extracted in order to calculate the SDOF model response. Comparing the Euler-Bernoulli beam model with the SDOF model shows that the lumped parameter model is not accurate enough to predict the beam’s response. Therefore, a tapering parameter dependent correction factor is introduced to adapt a reduced SDOF model. The results of some cases are reported and verified by test. It is concluded that in a tapered beams the accuracy of reduced SDOF model is increased for high tip mass values. |
| Databáze: | OpenAIRE |
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