热效应作用下S波入射弹性地基自由场地地震地面运动研究

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摘要基于热弹性介质中波的传播理论，建立了平面S波入射下弹性地基自由场地模型，采用亥姆霍兹矢量分解原理，对热效应作用下弹性地基自由场地中的波场进行分析，获得了热效应作用下平面S波入射弹性地基自由场地地震地面运动的解析解答。通过数值计算，分析了热传导系数、介质温度、热膨胀系数等热物性参数对弹性地基自由场地地震地面运动所产生的影响规律。研究结果表明：考虑热效应和不考虑热效应的两种理论模型下所得到的水平和竖向位移放大系数有着明显差异；地表水平和竖向位移放大系数以及相应的加速度随着热膨胀系数和介质温度的增大而增大；热传导系数和热通量相位延迟对地表位移放大系数和加速度的影响较小；随着入射波频率的增大，地表位移放大系数和加速度均逐渐增大。

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	杨奕琪1
	马强1
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关键词 ：热弹性介质, 热效应, 自由场地, 地震地面运动, 平面S波

Abstract：Based on the theory of wave propagation in thermoelastic media, this paper establishes a model of an elastic foundation free-field under plane S-wave incidence, uses the Helmholtz vector decomposition principle to analyze the wave field in the elastic foundation-free field under thermal effects, and obtains the analytical solution of seismic ground motion in elastic foundation free field under plane S-wave incidence under thermal effects. The influence law of thermal conductivity, medium temperature, thermal expansion coefficient, and other thermal physical parameters on the seismic ground motion of elastic foundation free field is analyzed through numerical calculations. The results show that there are significant differences between the horizontal and vertical displacement amplification coefficients obtained under the two theoretical models with and without thermal effects; the amplification coefficients of surface level and vertical displacement and the corresponding acceleration increase with the increase of thermal expansion coefficient and medium temperature; the effects of thermal conduction coefficient and heat flux phase delay on the amplification coefficients of surface displacement and acceleration are smaller; the amplification coefficients of surface displacement and acceleration increase gradually with the increase of incident wave frequency.

Key words： Thermoelastic medium Thermal effects Free field Seismic ground motion Plane S-wave

收稿日期: 2023-07-26 出版日期: 2024-05-28

引用本文:

杨奕琪1，马强1,2. 热效应作用下S波入射弹性地基自由场地地震地面运动研究[J]. 振动与冲击, 2024, 43(10): 114-122.
YANG Yiqi1，MA Qiang1,2. Seismic response of a S-wave incident elastic foundation free field under the effect of heat. JOURNAL OF VIBRATION AND SHOCK, 2024, 43(10): 114-122.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2024/V43/I10/114

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