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Study on dispersion characteristics calculation and coupling mechanism of multi-modes superposition of Rayleigh wave based on spectral element method
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Bo YANG1, 2, 3, Meng ZHANG1, Jianghai XIA2, Youming LONG1, You WU1
Earthquake Engineering and Engineering Dynamics | 2024, 44(1) : 205 - 213
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Earthquake Engineering and Engineering Dynamics | 2024, 44(1): 205-213
Study on dispersion characteristics calculation and coupling mechanism of multi-modes superposition of Rayleigh wave based on spectral element method
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Bo YANG1, 2, 3, Meng ZHANG1, Jianghai XIA2, Youming LONG1, You WU1
Affiliations
  • 1.School of Civil Engineering, Chongqing Jiaotong University, Chongqing 400074, China
  • 2.School of Earth Sciences, Zhejiang University, Hangzhou 310027, China
  • 3.National and Local Joint Laboratory of Transportation and Civil Engineering Materials, Chongqing Jiaotong University, Chongqing 400074, China
doi: 10.13197/j.eeed.2024.0120
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In order to improve the refinement level of mechanical parameters of layered structures explored by Rayleigh wave, this study constructed the Rayleigh wave dispersion equation in layered elastic semi-infinite stratum based on the spectral element method. For the two stratum structures of semi-infinite and “upper soft and lower hard”, compared and calculated the dispersion curves of multi-modes Rayleigh wave with spectral element method and fast vector-transfer algorithm. The results show that the relative error between the calculation results of spectral element method and the corresponding results of fast vector-transfer algorithm is under 0.05%, which has high calculation accuracy. On this basis, for the three complex layered structures of “upper hard and lower soft”pavement structure, containing “soft interlayer” and containing “hard interlayer”, this study derived the calculation method of surface displacement based on spectral element method, and established an semi-analytical method to determine the superposition coupling mechanism of multi-modes Rayleigh wave in complex stratum structure by analyzing the contribution of each mode phase velocity of Rayleigh wave to surface displacement energy, which are in good agreement with the corresponding simulation results of velocity-stress finite element method, indicating that it is reasonable and feasible to calculate the dispersion curves of Rayleigh wave and reveal the superposition coupling mechanism of multi-modal Rayleigh wave based on spectral element method.

spectral element method  /  Rayleigh wave dispersion curves  /  mode superposition coupling  /  layered structure  /  surface wave exploration
Bo YANG, Meng ZHANG, Jianghai XIA, Youming LONG, You WU. Study on dispersion characteristics calculation and coupling mechanism of multi-modes superposition of Rayleigh wave based on spectral element method[J]. Earthquake Engineering and Engineering Dynamics, 2024 , 44 (1) : 205 -213 . DOI: 10.13197/j.eeed.2024.0120
Year 2024 volume 44 Issue 1
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Article Info
doi: 10.13197/j.eeed.2024.0120
  • Receive Date:2023-01-21
  • Online Date:2026-03-30
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  • Received:2023-01-21
  • Revised:2023-03-03
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Affiliations
    1.School of Civil Engineering, Chongqing Jiaotong University, Chongqing 400074, China
    2.School of Earth Sciences, Zhejiang University, Hangzhou 310027, China
    3.National and Local Joint Laboratory of Transportation and Civil Engineering Materials, Chongqing Jiaotong University, Chongqing 400074, China
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表12种不同金属材料的力学参数

Family
属数
Number of
genus
种数
Number of
species
占总种数比例
Percentage of
total species (%)

Genus
种数
Number of
species
占总种数比例
Percentage of total
species (%)
鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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