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Structural Engineering and Mechanics Volume 40, Number 3, November10 2011 , pages 373-392 DOI: https://doi.org/10.12989/sem.2011.40.3.373 |
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Vibration attenuation in periodic composite Timoshenko beams on Pasternak foundation |
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Hong-Jun Xiang and Zhi-Fei Shi
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| Abstract | ||
| Periodic and quasi-periodic Timoshenko beams on Pasternak foundation are investigated using the differential quadrature method. Not only band gaps in the beams but also the dynamic response of them is analyzed. Numerical results show that vibration in periodic beams can be dramatically attenuated when the exciting frequency falls into band gaps. Different from the band structures of periodic beams without foundation, the so-called critical frequency was found because of the Pasternak foundation. Its physical meaning was explained in detail and a useful formula was given to calculate the critical frequency. Additionally, a comprehensive parameter study is conducted to highlight the influence of foundation modulus on the band gaps. | ||
| Key Words | ||
| vibration attenuation; periodic beams; band gap; dynamic response; Pasternak foundation | ||
| Address | ||
| Hong-Jun Xiang and Zhi-Fei Shi: School of Civil Engineering, Beijing Jiaotong University, Beijing 100044, China | ||