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| Direct probability integral method for uncertainty analysis of stochastic phonon crystals |
| Received:May 25, 2023 Revised:July 20, 2023 |
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| DOI：10.7511/jslx20230525006 |
| KeyWord:phonon crystals direct probability integral method reliability probability density integral equation bandgap characteristic |
| Author | Institution |
| 李骜 |
大连理工大学 工程力学系, 工业装备结构分析优化与CAE软件全国重点实验室, 大连 |
| 陈国海 |
大连理工大学 工程力学系, 工业装备结构分析优化与CAE软件全国重点实验室, 大连 |
| 杨迪雄 |
大连理工大学 工程力学系, 工业装备结构分析优化与CAE软件全国重点实验室, 大连 |
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| Abstract: |
| Since there exist uncertainty factors in the manufacturing process,the material properties of phononic crystals possess randomness,resulting in the random physical response and affecting the vibration and noise reduction performance of phononic crystals.It is computationally expensive to quantify the uncertainty of the physical responses of phononic crystals by using Monte Carlo simulation (MCS).To this end,based on the efficient direct probability integral method (DPIM),this study examines the uncertainty propagation of phononic crystals with random material parameters.In the context of DPIM,firstly,the uncertainties of the upper and lower edge frequencies,bandgap width of the energy band structure and frequency response function of the random phononic crystals are quantified,and the influences of large variability of random parameters on the band gap width of the phononic crystals are investigated.Then,the computational formula of vibration and noise reduction reliability of the phononic crystal is established,and its performance of vibration and noise reduction considering the random uncertainty is evaluated quantitatively.By comparing the results with those of MCS,two numerical examples demonstrate the accuracy and high efficiency of DPIM for uncertainty quantification and vibration and noise reduction reliability evaluation of the random phononic crystals.Finally,the reliability of locally resonant random phononic crystals is assessed based on DPIM.It is shown that the randomness of rubber material imposes a larger influence on the vibration and noise reduction performance of the locally resonant phononic crystals than others. |
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