The present application relates to a kind of pre-tensioned steel
wire rope lateral
impact response calculation method considering geometric and friction
nonlinear coupling.First, the linear tensile constitutive model of pre-tensioned steel
wire rope is constructed, Von Kármán
large deflection theory is introduced, and the geometric hardening relationship of the nonlinear growth of axial tension with
lateral deflection is established;Subsequently, a bilinear
bending stiffness model is constructed to calculate the critical anti-sliding torque that evolves dynamically with tension;Based on the principle of
energy conservation and Rayleigh-Ritz method, the
system total
potential energy functional of axial tensile
potential energy and nonlinear bending
potential energy is constructed, and the maximum
impact deflection and tension response of the steel
wire rope are obtained by solving the energy residual equation, the maximum response is substituted back into the
constitutive equation, and the maximum
nominal stress of the midspan cross section, the maximum axial tension and the extension length of the internal slip zone are calculated.The present application has very high calculation efficiency compared with full-size
finite element simulation, and is suitable for the rapid design and safety evaluation of steel wire
rope protection system.