Comparatively, circumferential joints between segmental rings are more pron to dislocation and rotation, resulting in the sharp deformation and steps.

相而言，节段环之间的圆周节理更易发生位错和旋转，导致剧烈变形和台阶。

To obtain the governing differential equations for the actual nodes near circumferential joints, virtual nodes are specially added near the joints.

为了获得圆周关节附近实际节点的控制微分方程，在关节附近专门添加了虚拟节点。

This model can indicate the dislocation between adjacent rings and opening at circumferential joints.

该模型可以指示相邻环之间的位错和圆周关节处的开口。

Each segmental ring is treated as a Timoshenko beam, while the circumferential joints are represented by linear rotational and shearing springs.

每个节段环都被视为 Timoshenko 梁，而圆周接头则由线性旋转弹簧和剪切弹簧表示。

And he tries to get funding for the Brooklyn Battery Tunnel part of this circumferential bypass route, but he can't raise it anywhere.

他试图为这条环形绕行路线的布鲁克林炮台隧道部分筹集资金，但却无法筹集到资金。

Huang 21 firstly developed a simplified LBSM with shearing and rotation springs on the Winkler foundation, considering the discontinuous deformations at circumferential joints.

Huang 21 首先在 Winkler 基础上开发了一种带有剪切和旋转弹簧的简化 LBSM，考虑了圆周节理处的不连续变形。

Figure 16B indicates the joint opening distribution of circumferential joints under joint reinforcement.

图 16B 显示了接加固下圆周接的接张开分布。

The shield tunnel model comprises segmental rings and circumferential joints between adjacent rings.

盾构隧道模型由节段环和相邻环之间的环状节点组成。

It is attributed to the fact that strengthening the circumferential joint will considerably improve the tunnel resistance capacity to deformation.

这是因为加强圆周接提高隧道的抗变形能力。

The stiffness of circumferential joint (, the rotation spring and shearing spring) is discussed in the following section.

圆周运动类型（旋转弹簧和剪切弹簧）的刚度在下一节中讨论。

In contrast, the proposed solution is more reasonable and accurate, by taking complex interactions between internal forces and stiffness reduction at circumferential joints into account.

相比之下，所提出的解决方案更加合理和准确，因为它考虑了内力和圆周节点刚度折减之间的复杂相互作用。

Figure 9A shows the opening of circumferential joints along the tunnel longitudinal direction.

图 9A 显示了沿隧道纵向的圆周接开口。

Each circumferential joint is modeled as a shearing spring and a rotation spring, taking into account the stiffness reduction at the circumferential joint.

每个圆周节点都被建模为剪切弹簧和旋转弹簧，同时考虑了圆周节点处的刚度降低。

Each segmental ring is treated as a Timoshenko beam, and each circumferential joint is considered by two mechanical springs including the shearing spring and the rotation spring.

每个节段环被视为一个 Timoshenko 梁，每个圆周节理由两个机械弹簧（包括剪切弹簧和旋转弹簧）考虑。

The prediction of TM-V solution is slightly larger than that of the proposed solution, because the Timoshenko beam takes no account of the stiffness reduction at circumferential joints.

TM-V 解的预测略于所提出的解的预测，因为 Timoshenko 梁没有考虑圆周关节处的刚度降低。

Even in the rude circumferential rim or wall of wax round a growing comb, flexures may sometimes be observed, corresponding in position to the planes of the rhombic basal plates of future cells.

即使在生长中的梳子周围粗糙的圆周边缘或蜡壁中，有时也可以观察到弯曲， 其位置与未来细胞的菱形基底板的平面相应。

Compared to the traditional LECM, the proposed beam-spring model can reflect the shield tunnel deformation more veritably by considering the effect of circumferential joints.

与传统的 LECM 模型相比，所提出的梁-弹簧模型通过考虑环向节理的影响，可以更真实地反映盾构隧道的变形。

This model incorporates an improved subgrade modulus and treats each segmental ring as a Timoshenko short beam, with each circumferential joint modeled by two mechanical springs.

该模型采用了改进的路基模量，并每个节段环视为一个 Timoshenko 短梁，每个圆周接头由两个机械弹簧建模。

This is because that the solution of joint reinforcement enhances the shearing stiffness of circumferential joints, which strengthens the ability of the tunnel joint to resist to dislocation.

这是因为节理加固的解增强了环向节理的抗剪刚度，从而增强了隧道节理的抗错位能力。

Moreover, the finite difference method based on the single-variable formulation is employed to solve the issue of discontinuous deformation at circumferential joints, simplifying the calculation on the Timoshenko beam model.

此外，采用基于单变量公式的有限差分法解决了圆周节理处不连续变形的问题，简化了 Timoshenko 梁模型的计算。