An approach for solving the scattering of SH waves by elastic solid piles in one row
The scattering issue of shear horizontal(SH)waves from solid elastic piles in a single row was analyzed using the wave function expansion technique and Graf's addition theorem.By changing a single variable,we analyzed the effects of the pile-soil shear modulus ratio and the number of piles on the vibration isolation capabilities of row piles.Our results show that when di-mensionless frequency is low to medium,the dimensionless displacement curve beyond the row piles tends to zero at infinity.As the number of piles increases,the vibration isolation effect also gradually improves.However,the ratio of dimensionless displacement changes greatly in the range of 0-70a following the piles,leading to unstable and poor vibration isolation performance.When the pile-soil shear modulus ratio is less than 500,the vibration isolation effect within the range of 250a-380a proves to be satisfactory.Conversely,when the pile-soil shear modulus ratio is equal to or exceeds 500,there is no substantial increase in the vibration isolation effect.This suggests that the pile can be regarded as a rigid pile at this time.In instances of medium dimen-sionless frequency,the vibration isolation effect performs well within the 100a-120a range.The ratio of dimensionless displacement in this range experiences a sudden increase before gradually de-creasing.However,as the dimensionless frequency escalates to high frequencies,the vibration isolation effect shows minor variation with different numbers and exhibits good performance close to the row piles.
wave function expansion methodGraf's addition theoremvibration isolation effect
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