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.

该模型采用改进的路基模量，并将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。

The coefficient of subgrade modulus is improved to incorporate vertical bearing soil-spring.

提路基模量数，以纳支座土壤弹簧。

This solution performs well in evaluating the coefficient of subgrade modulus (k) at any buried depth, particularly for relatively shallowly buried shield tunnels.

该解决方案在评估任何埋深处的路基模量数 （k） 方面表现良好，特别是对于相对较浅埋设的盾构隧道。

Consequently, this paper recommends a simplified approach to calculate the coefficient of subgrade modulus (k), as shown in Equation (25).

因此，本文推荐一种简化的方法来计算路基模量数 （k），如公式 （25） 所示。