摘要
研究了将功能梯度材料中应力波传播的计算模型应用到土介质中，提出了梯度土介质的概念。结合黄土地层的实际情况和试验结果，将土的剪切模量和阻尼比归纳为随深度旱指数连续变化的函数，推导了应力波在该梯度土介质材料中的运动方程，然后应用有限差分法对波动方程进行了求解。计算了在梯度士介质地层模型下，不同厚度上层、不同土介质时地表的位移、速度以及加速度对上部结构影响的反应谱曲线，并进行了比较分析，得出了在地震波作用下地表反应对结构物影响的有关规律性，可为地基抗震工程提供参考。
The model of wave propagation in functionally graded material（FGM） is introduced to soil medium, and the concept of functionally graded soil medium is brought forward. Combined with the actual conditions and test results, exponential functions are used to express the variation of the shear modulus and damping ratio of the soil with the depth. Then, the motion equations for the transmission of the stress wave are derived and solved by using finite difference method. The ground surface response spectra curves of the model are gained under different depths and different soil media. The comparisons and analysis are carried out under a series of circumstances, and some laws of the influences on above structures are obtained, which can provide some references to the antiseismic engineering.
出处
《岩石力学与工程学报》
EI
CAS
CSCD
北大核心
2005年第A01期4798-4804,共7页
Chinese Journal of Rock Mechanics and Engineering
基金
国家自然科学基金资助项目（50379043）：中国科学院岩士力学重点实验宝基金项目（z110302）
关键词
土力学
功能梯度材料
应力波传播
反应谱
soil mechanics
functionally graded material（FGM）, stress wave propagation
response spectra
