Abstract:To solve the difficulty of tension force estimation for parallel strand cable, parameter identification method was proposed based on the nonlinear vibration of cable. Considering the effects of sag and bending stiffness, the nonlinear vibration differential equation of cable was established. The multiple-scale method was introduced to solve the difficulty and establish a practical formula. The accuracy of the proposed practical formula was verified by comparing the results with those mentioned in the literature and the FEM calculation. Based on the formula, parameter identification method for tension force estimation of parallel strand cable including tension, length, density and rigidity was proposed. The results show that the proposed formula is simple and practical, and the key parameters can be identified accurately by parameter identification method with notably improved estimation accuracy.