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Steel and Composite Structures Volume 32, Number 5, September10 2019 , pages 643-655 DOI: https://doi.org/10.12989/scs.2019.32.5.643 |
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On forced and free vibrations of cutout squared beams |
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Khalid H. Almitani, Alaa A. Abdelrahman and Mohamed A. Eltaher
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| Abstract | ||
| Perforation and cutouts of structures are compulsory in some modern applications such as in heat exchangers, nuclear power plants, filtration and microeletromicanical system (MEMS). This perforation complicates dynamic analyses of these structures. Thus, this work tends to introduce semi-analytical model capable of investigating the dynamic performance of perforated beam structure under free and forced conditions, for the first time. Closed forms for the equivalent geometrical and material characteristics of the regular square perforated beam regular square, are presented. The governing dynamical equation of motion is derived based on Euler-Bernoulli kinematic displacement. Closed forms for resonant frequencies, corresponding Eigen-mode functions and forced vibration time responses are derived. The proposed analytical procedure is proved and compared with both analytical and numerical analyses and good agreement is noticed. Parametric studies are conducted to illustrate effects of filling ratio and the number of holes on the free vibration characteristic, and forced vibration response of perforated beams. The obtained results are supportive in mechanical design of large devices and small systems (MEMS) based on perforated structure. | ||
| Key Words | ||
| free vibration; forced vibration; dynamical behavior; perforation; Euler-Bernoulli beam; semi-analytical method | ||
| Address | ||
| (1) Khalid H. Almitani, Mohamed A. Eltaher: Mechanical Engineering Department, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah, Saudi Arabia; (2) Alaa A. Abdelrahman, Mohamed A. Eltaher: Mechanical Design & Production Department, Faculty of Engineering, Zagazig University, P.O. Box 44519, Zagazig, Egypt. | ||