Thrust network analyses are commonly used in the stability analysis of three-dimensional masonry structures. Stability under gravity loading is ensured if a permissible thrust network can exist within the geometry of a structure. The maximum and minimum thrust networks are typically found using linear optimisation of the thrust network coordinates along the axis aligned with the gravity loading. When subject to lateral loading, optimisation along this axis does not result in equilibrium thrust networks. To address this issue, optimisation of the thrust network needs to be coordinated along an axis aligned with the resultant of gravity and lateral loading. In this paper, an extended thrust network analysis is presented that uses a stepwise procedure to effectively rotate the optimisation axis. This rotated Thrust Network Analysis (rTNA) results in more conservative solutions for the case examined of a spherical dome subject gravity and lateral loading. Numerical applications of the method, with the inclusion of lateral loading, are shown for changes in the embrace angle of a spherical dome and the effect of reduction in the acceleration due to gravity that may be experienced in the lunar environment.

中文翻译：

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用于水平荷载拱形结构稳定性评估的旋转推力网络分析 (rTNA)

推力网络分析常用于三维砌体结构的稳定性分析。如果结构的几何形状内存在允许的推力网络，则可以确保重力载荷下的稳定性。通常使用沿着与重力载荷对齐的轴的推力网络坐标的线性优化来找到最大和最小推力网络。当承受横向载荷时，沿该轴的优化不会产生平衡推力网络。为了解决这个问题，推力网络的优化需要沿着与重力和横向载荷的合力对齐的轴进行协调。本文提出了一种扩展的推力网络分析，它使用逐步过程来有效地旋转优化轴。这种旋转推力网络分析 (rTNA) 可为受重力和横向载荷检查的球形圆顶案例提供更保守的解决方案。该方法的数值应用（包括横向载荷）显示了球形穹顶的包角变化以及月球环境中可能遇到的重力加速度减小的影响。