Abstract As the deflection of a buried beam subjected to ground settlement is not consistent with the ground displacement, an analytical model is introduced in this study for a buried beam on a tensionless foundation subjected to differential settlement. The buried beam is divided into three segments: the left semi-infinite foundation beam, the right semi-infinite foundation beam, and the middle finite beam separated from the ground. Based on the theory of semi-infinite foundation beams, equations for the response of left and right semi-infinite segment beams are given. Explicit equations are proposed for the response of the middle segment beam; these are combined with the continuous conditions at the segment junctions, and the physical implications of the equation parameters are illustrated. The analytical approach taken in this study is then compared with, and verified against, the methods used in the existing literature. The mechanical state of a buried beam subjected to ground settlement is closely related to the foundation stiffness factor, the flexural stiffness of the beam, the characteristics of the ground settlement, and the vertical earth pressure. When the deformation coefficient is relatively large or ground settlement is relatively narrow, the buried beam may be in the partial contacting state. With an increase in the width and amplitude of ground settlement curve, the foundation stiffness factor, and the different vertical earth pressure between the ground settlement and non-settlement areas, the bending moment and shearing force of buried beams increase.

中文翻译：

---

不同沉降作用下无张力地基埋梁的解析模型

摘要 针对埋地梁在地基沉降作用下的挠度与地表位移不一致的问题，本文引入了无张力地基埋地梁在不均匀沉降作用下的解析模型。埋地梁分为三段：左半无限基础梁、右半无限基础梁、中离地有限梁。基于半无限基础梁理论，给出了左右半无限段梁的响应方程。对中段梁的响应提出了显式方程；这些与段连接处的连续条件相结合，并说明了方程参数的物理含义。然后将本研究中采用的分析方法与现有文献中使用的方法进行比较和验证。埋地梁承受地基沉降的力学状态与地基刚度系数、梁的抗弯刚度、地基沉降特性和竖向土压力密切相关。当变形系数较大或地面沉降较窄时，埋梁可能处于局部接触状态。随着地基沉降曲线的宽度和幅值、地基刚度系数以及地基沉降区与非沉降区之间的垂向土压力不同，埋地梁的弯矩和剪力增大。现有文献中使用的方法。埋地梁承受地基沉降的力学状态与地基刚度系数、梁的抗弯刚度、地基沉降特性和竖向土压力密切相关。当变形系数较大或地面沉降较窄时，埋梁可能处于局部接触状态。随着地基沉降曲线的宽度和幅值、地基刚度系数以及地基沉降区与非沉降区之间的垂向土压力不同，埋地梁的弯矩和剪力增大。现有文献中使用的方法。埋地梁承受地基沉降的力学状态与地基刚度系数、梁的抗弯刚度、地基沉降特性和竖向土压力密切相关。当变形系数较大或地面沉降较窄时，埋梁可能处于局部接触状态。随着地基沉降曲线的宽度和幅值、地基刚度系数以及地基沉降区与非沉降区之间的垂向土压力不同，埋地梁的弯矩和剪力增大。梁的抗弯刚度、地面沉降特性和竖向土压力。当变形系数较大或地面沉降较窄时，埋梁可能处于局部接触状态。随着地基沉降曲线的宽度和幅值、地基刚度系数以及地基沉降区与非沉降区之间的垂向土压力不同，埋地梁的弯矩和剪力增大。梁的抗弯刚度、地面沉降特性和竖向土压力。当变形系数较大或地面沉降较窄时，埋梁可能处于局部接触状态。随着地基沉降曲线的宽度和幅值、地基刚度系数以及地基沉降区与非沉降区之间的垂向土压力不同，埋地梁的弯矩和剪力增大。