Study On Nonlinear Vibration Properties And Parametric Excitations Of CFRP Stayed Cables

This dissertation, which is sponsored by National Natural Science Foundation of China titled "Computation and analysis of structural-acoustic coupled problems in the medium frequency range for thin wall structures"(No. 10872075), has studied the basic mechanical properties of anisotropic CFRP stayed-cable. First, the research progress about the mechanism of the space large amplitude motion of CFRP and steel under parametric excitation, the mechanism of the large amplitude vibration of CFRP stayed-cable, and the link-motion of CFRP considering damp have been reviewed. Next, based on the anisotropic material constitutive relation of CFRP and considering bending stiffness, shearing stiffness and torsional stiffness, we derive the high precision CFRP beam model equation, which make it easier to analyze the mechanism of the larger-amplitude vibration of CFRP stayed-cable and the nonlinear dynamics properties under outer excitation.This dissertation proposed the high precision nonlinear beam-model equation and its solution for isotropic stayed-cable with the consideration of bending stiffness, shearing stiffness and torsional stiffness under outer excitation. The equation is simplified to make the calculation easier, and the accuracy of the solution is also maintained. And the damping effect, including aerodynamic damping and viscous damping, of the vibration of CFRP stayed-cable and steel stayed-cable is discussed.The mode analysis of stayed-cable is conducted using the isotropic and anisotropic beam-model and is compared with the link-model on their accuracy and applicable condition. Furthermore, the dynamic analysis of CFRP stayed-cable parametric excitation is made. Combined with nonlinear dynamic analysis method such as the multiple-scale obtained the CFRP stayed-cable frequency respond and force respond.Using the isotropic elastic principle to build the model and make analysis for the high modulus CFRP stayed-cable, we have obtained the dynamic behavior of its large-amplitude motion. The present work provides a route to study the dynamics of stayed-cable and makes contribution to the design and implementation of high modulus CFRP stayed-cable. The complete analysis of the dynamics of stayed-cable system will be expected to be developed based on the present work.