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| Vibration characteristics of one-dimensional phononic crystals with elastic supporting |
| HE Dongze1,SHI Dongyan1,WANG Qingshan2,3,MA Chunlong1, 4 |
1. College of Mechanical and Electrical Engineering, Harbin Engineering University, Harbin 150001, China;
2. College of Mechanical and Electrical Engineering, Central South University, Changsha 410083, China;
3. State Key Laboratory of High Performance Complex Manufacturing, Central South University, Changsha 410083, China;
4. Department of Automotive Engineering, Harbin Vocational & Technical College, Harbin 150001, China |
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Abstract In this paper, the Reverberation-Ray Matrix(MRRM) is adopted to investigate the vibration characteristics of one dimensional phononic crystals with elastic supporting and the frequency response curve is obtained. To verify the calculation correctness of presented method, the solutions are compared with the results by Finite element method(FEM). It can be found that the results by MRRM and FEM are agree well. Furthermore, the effect of geometric parameters and elastic stiffness under various conditions on the vibration characteristics for one dimensional phononic crystals with elastic supporting is proposed. Through the changing rule of the starting frequency, ending frequency and width of band gap, some conclusions are obtained. Numerical examples show that the geometric parameters and elastic stiffness under various conditions have its own influence on the vibration characteristics of one dimensional phononic crystals with elastic supporting.
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Received: 23 September 2020
Published: 28 February 2022
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