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Improved Method of Multiple Scattering of Elastic Waves and Its Application in Engineering

Author: ChenChen
Tutor: XiaTangDai
School: Zhejiang University
Course: Geotechnical Engineering
Keywords: Elastic wave Wave function Multi-row pile Multiple scattering Engineering vibration isolation Lining
CLC: TU311.3
Type: Master's thesis
Year: 2010
Downloads: 65
Quote: 0
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Abstract


Dynamics Basic Theory waves in an infinite homogeneous space is the rectilinear propagation constant speed, but if it is embedded in a uniform medium there are obstacles, then the wave propagation will be the impact of obstacles and produce such as scattering, reflection and diffractive phenomena such. The phenomenon of multiple scattering of elastic waves in the actual project wide range of applications, the elastic soil vibration isolation as well as the dynamic structures such as tunnels, lining surrounding stress concentration problems very early attention and research. Far, discontinuous barrier isolation problem, the theoretical analysis method to study the object are limited to a single row of the pile or hole; dynamic stress concentrated on the lining of the problem, The research also most of the limited dual parallel lining (actually single row lining). However, the purpose of the actual project, in order to enhance the barrier the overall stiffness and to enhance the effect of vibration isolation, often use double-row and even multi-row pile or hole underground lining distribution does not necessarily are in the form of double parallel lining, therefore, theoretically double-row piles or multi-row pile vibration isolation, as well as any underground distribution lining, tunnel vibration response is extremely important. Firstly, based on the basic theory of elastic wave Aviles scholars single row of non-continuous barrier isolation system and calculation method based on the use of a more complete wave function expansion, and combined with a more broad sense Graf addition theorem, the scattering wave potential function expression transforms into a cylindrical coordinate system, the analytical solutions derived arbitrary distribution of multiple cylinder on the multiple scattering of elastic wave scattering coefficients. Such improved algorithm can calculate arbitrary distribution of the pile or isolate the problem of the holes on the elastic wave, past the scope of application of the algorithm greatly enhanced. Next, arbitrary distribution of the rigid cylinder are regularly arranged on the two lines, the problem is evolved into a double rigid pile barrier elastic waves. The improved algorithm based on the multiple scattering of elastic waves using the boundary conditions between pile and soil, multiple scattering coefficients of a double row of rigid pile incident elastic waves (P waves, SV waves and SH waves) are derived. The introduction of the concept of the dimensionless displacement (the displacement caused by the barrier of the displacement of the soil mass behind the incident plane wave ratio) and transmission coefficient (dimensionless barrier width range displacement geometric mean), double row of rigid pile barrier isolation effect a detailed analysis of the parameters. Then, the arbitrary distribution of the elastic cylinder regularly arranged in two parallel lines, combined with the elastic boundary between the pile and soil conditions, the double elastic pile barrier isolated incident SV wave. Similarly, the introduction of the concept of non-dimensional displacement and transmission coefficients, using computer numerical methods, carried out a detailed analysis of the parameters of the double row of elastic pile barrier isolation effect. Finally, the arbitrary distribution of underground buried deep lining elastic SH wave incident response, combined with the elastic wave based on this improved algorithm of multiple scattering, where three lining arbitrary distribution, for example, derived lining the multiple scattering of elastic SH wave scattering coefficients analytic solution.

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CLC: > Industrial Technology > Building Science > Building structure > Structure theory to calculate > Structural Mechanics > Structural Dynamics
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