Supplemental Materials for Inclined Loading Performance and Failure Envelope Modelling of Single-Helix Anchors in Clay with Depth-Varying Strength

This supplement documents the kinematic reconstruction used to obtain mudline displacement of single-helix anchors under inclined loading. It details the instrumentation (inline load cell, cap-mounted loading ring, symmetric vertical LVDTs at 50 mm radius, a horizontal LVDT 25 mm below the cap, and a cap-mounted 6-DOF accelerometer), the coordinate system and sign conventions, and the small-angle rigid-body assumptions. Closed-form relations map sensor readings to mudline components: vertical translation from paired vertical LVDTs, horizontal translation from the horizontal LVDT corrected by rotation (pivot below mudline), and the resultant displacement magnitude. Computation steps and quality checks are provided for reproducible data reduction.

本补充材料记录了倾斜荷载作用下单螺旋锚的泥面位移运动学重建方法。其详细阐述了所用的传感装置：轴向测力传感器、安装于锚帽的加载环、半径50mm处对称布设的竖向线性可变差动变压器（Linear Variable Differential Transformer, LVDT）、位于锚帽下方25mm处的水平LVDT，以及安装于锚帽的六自由度加速度计；同时明确了坐标系与符号约定，以及小角度刚体假设条件。通过闭式解析关系式可将传感器读数映射为泥面位移分量：由成对竖向LVDT计算得到竖向平移量，由经旋转修正的水平LVDT（转轴位于泥面下方）计算得到水平平移量，以及合位移幅值。文中提供了完整的计算步骤与质量校验流程，以实现可复现的数据归约处理。