引用本文: 王震强, 李奎奎, 汪过兵. 摩擦效应影响下矩形移动载荷作用对地面的动力响应分析. 力学与实践, xxxx, x(x): 1-8.
Wang Zhenqiang, Li Kuikui, Wang Guobing. Analysis of dynamic response of ground under rectangular moving load affected by friction effect. Mechanics in Engineering, xxxx, x(x): 1-8.
 Citation: Wang Zhenqiang, Li Kuikui, Wang Guobing. Analysis of dynamic response of ground under rectangular moving load affected by friction effect. Mechanics in Engineering, xxxx, x(x): 1-8.

## Analysis of dynamic response of ground under rectangular moving load affected by friction effect

• 摘要: 针对地面摩擦效应在工程车辆载荷作用下的动力响应问题，提出了一个考虑摩擦效应的三维计算模型和实用计算方法。通过将地面和地基土体视为半无限弹性体，并利用Dirac-delta函数和Heaviside函数描述矩形移动载荷，采用三重Fourier变换以及降阶法进行求解并进行算法验证及动力响应分析。研究显示，摩擦效应减弱了矩形移动载荷对地面的纵向振动位移影响，而对横向振动及振动频率分布无显著影响。当土层厚度超过10 m后振动影响基本消失，且载荷移动速度是影响振幅和频率分布的关键因素。

Abstract: In this paper, a three-dimensional model and a practical method are presented for calculating the dynamic response of ground friction under the action of construction vehicles. By considering the ground and soil as semi-infinite elastomers, and using Dirac-delta function and Heaviside function to describe the rectangular moving load, triple Fourier transform and order reduction method are used to solve the problem, and the algorithm is verified and the dynamic response is analyzed. The results show that the friction effect weakens the influence of the rectangular moving load on the longitudinal vibration displacement of the ground, but has no significant effect on the transverse vibration and vibration frequency distribution. When the thickness of soil layer exceeds 10 meters, the influence of vibration basically disappears, and the velocity of load movement is the key factor that affects the amplitude and frequency distribution.

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