To explore the mechanical properties of braided wire rope, relevant theories of differential geometry are applied to deduce the space curve parametric equation of braided wire rope, specific to the structural features of the rope. On this basis, a geometric entity model of YS9-8 3 19 braided wire rope is established. Through mesh generation, a finite element model of braided wire rope is obtained. Constraints and loads are applied for numerical simulation calculations. The numerical simulation results are analyzed to reveal the stress and deformation distribution rules of the rope strands along the rope axis direction and on the cross sections of strands. Tensile tests of YS9-8 3 19 steel wire ropes are performed. The test data and the analogous simulation results coincide, verifying the rationality of the model. The study provides theoretical bases for subsequent frictional wear and life studies on this steel wire rope.

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Considering the transverse crack as a massless viscoelastic rotational spring, the equivalent stiffness of the viscoelastic cracked beam is derived by Laplace transform and the generalized Dirac delta function. Using the standard linear solid constitutive equation and the inverse Laplace transform, the analytical expressions of the deflection and rotation angle of the viscoelastic Timoshenko beam with an arbitrary number of open cracks are obtained in the time domain. By numerical examples, the bending results of the analytical expressions are verified with those of the FEM program. Additionally, the effects of the time, slenderness ratio, and crack depth on the bending deformations of the different cracked beam models are revealed.

RTM about the front floor of the car, examines the different injection methods, different influence of distance of hose guide for filling time, analyzing the resin flow patterns, the effects of the mold cavity pressure distribution and the overflow outlet location on the floor molding, and got the shortest time of program filling of the floor. From a test about VARI molding of the floor on the former basis, got the filling time 820s and it is consistent with simulation results 982s.The research results have important significance for research and application of carbon fiber composites.

The mathematical model of anti-twist braided wire rope structure is the basis for studying the mechanical problems of wire rope. According to the forming principle of anti-twist wire rope, the structure and dimensional characteristics of wire rope are analyzed. Applying the differential geometry theory and principle of coordinate transformation, the spatial curve parametric equations were derived. Deduced the mathematical model of anti-twist braided wire rope. On the basis of this mathematical model ,a YS11-8×19 wire rope was taken as an example based on the spatial curve parametric equations, an geometric entity model of the anti-twist braided wire rope was established using the three-dimension software. Compared geometric model with actual anti-twist braided wire rope, errors of structure parameters are in the range of allowable error. The mathematic model's veracity is verified, which lay the foundation for finite element analysis of wire rope.