Dynamic compression of risers can play an important role in the structural stability of submerged pipes in catenary-like configuration. In this paper, the analytical formulation for the buckling critical load, developed in the early 2000's, is revisited and extended to cover a wider range of practical cases. A purely algebraic expression for the critical load is provided, eliminating the original formulation requirement related to solving transcendental equations, for both free and anchored risers. The analytic formulations and respective algebraic approximations are compared with numerical simulations, presenting a fairly good agreement. A discussion on the differences and similarities of each formulation ends this paper, highlighting their range of validity. Also, from the comparison, the analytical formulation developed in this work was more suitable for precise and fast determination of the critical buckling load for both riser types, rigid and flexible, and for most typical operating conditions. The proposed algebraic expressions were highly accurate and may substitute the previous analytical formulations for critical load prediction.

立管的动态压缩可在悬链状构型的沉管结构稳定性中发挥重要作用。在本文中，对2000年代初期开发的屈曲临界载荷的分析公式进行了重新讨论，并扩展到涵盖更广泛的实际案例。提供了临界载荷的纯代数表达式，从而消除了对于自由立管和锚固立管的求解先验方程的原始公式要求。解析公式和各自的代数近似值与数值模拟进行了比较，呈现出相当好的一致性。每种配方的异同的讨论在本文结尾，突出了其有效范围。另外，根据比较 这项工作中开发的分析公式更适合于精确，快速地确定刚性和柔性立管类型以及大多数典型工作条件下的临界屈曲载荷。所提出的代数表达式非常准确，可以替代先前的分析公式进行关键负荷预测。