岩溶隧道在SH波激励下动力响应位移解析解

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臧万军,孙文涛.岩溶隧道在SH波激励下动力响应位移解析解[J].,2018,58(2):159-165

岩溶隧道在SH波激励下动力响应位移解析解

Displacement analytical solutions of dynamic response of karst tunnel subjected to SH waves

DOI：10.7511/dllgxb201802008

中文关键词:岩溶隧道位移解析解 SH波波函数展开法 Fourier-Bessel级数变换

英文关键词:karst tunnel displacement analytical solution SH wave wave function expansion method Fourier-Bessel series transformation

基金项目:福建省自然科学基金资助项目(2016J01205)；福州市科技局科技项目(2017-G-63)；中铁二十四局集团福建铁路建设有限公司项目(GY-H-15034).

作者	单位
臧万军,孙文涛

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中文摘要:

基于工程波动理论，利用波函数展开法和Fourier-Bessel级数变换，推导了岩溶隧道在平面SH波激励下动力响应位移解析解的计算公式，并提出实用的简化解．通过数值模拟解验证了该动力响应位移解析解的合理性，两种解法在入射角度为0°和90°时溶洞与隧道的位移幅值峰值均相差10%左右．研究了溶洞半径、平面SH波入射角度以及溶洞与隧道间的中心距等3个影响因素对溶洞和隧道的动力响应作用，结果表明：溶洞和隧道位移幅值与溶洞半径成正比，与两者间的中心距成反比，与平面SH波入射角度成正比．

英文摘要:

Based on the engineering wave theory, displacement analytical solutions are derived for the dynamic response of a karst tunnel subjected to SH waves with the wave function expansion method and Fourier-Bessel series transformation, and a practical simplified solution is proposed. The rationality of which is verified by numerical simulation solution. The differences of displacement amplitude peak value of the karst cave and the tunnel are about 10% between the two methods when the incident angles are 0° and 90°. The dynamic response effects of three factors, such as the radius of karst cave, the incident angle of plane SH wave and the center distance between karst cave and tunnel, are studied. The results show that the displacement amplitude values of the karst cave and the tunnel are proportional to the radius of karst cave, are inversely proportional to the center distance between the karst cave and the tunnel, and are proportional to the plane SH wave incident angle.

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