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针对钻柱轴扭耦合动态屈曲的基本问题构造哈密顿体系,在辛几何空间中将临界屈曲载荷和动态屈曲模态归结为辛本征值和本征解问题,从而形成一种辛几何算法.方法较好的解决了钻柱轴扭耦合动态屈曲的复杂边界条件问题.在解决气体钻井钻柱动态屈曲问题的研究中具有良好的应用前景.
Aiming at the basic problem of dynamic buckling of drill-shaft-torsional coupling, a Hamiltonian system is constructed and the critical buckling loads and dynamic buckling modes are reduced to symplectic eigenvalue and eigenvector problems in symplectic geometrical space, thus forming a symplectic geometry algorithm. Which solves the complex boundary conditions of dynamic buckling of drill string and shaft torsion well and has a good application prospect in solving the problem of dynamic buckling of gas drilling drill string.