Dynamic response analysis of airborne wind energy parafoil towing cable structure

Purpose The purpose of this study is to develop an efficient and accurate numerical framework for static bending, free vibration and dynamic analysis of functionally graded sandwich plates. Design/methodology/approach According to the material and geometric characteristics of the cable, the parameter configuration of the cable finite element model (FEM) is determined. By applying different transient loads at different positions, the stress, strain and vibration displacement of the cable can be obtained. In addition, the explicit relationship between the local coupling physical properties of the finite element and the structural properties of the matrix is established, and the local sparsity of the stiffness matrix and the structural consistency of the second-order sparse matrix are revealed. Finally, the effectiveness of the second-order sparse matrix model is verified by simulation analysis. Findings (1) Design phase – It helps to find potential issues such as excessive displacements, stresses beyond material limits or critical points of failure. This analysis is particularly important during the design phase as it allows practitioners to evaluate different configurations, material choices and boundary conditions. By analyzing the system responses to transient loads, the design can be optimized to ensure safe and reliable operation under real-world conditions. (2) Operational phase – It aids in monitoring the behavior of cables during their service life, especially when subject to unpredictable transient loads. By continuously assessing the responses of the cable, any potential anomalies or degradation in performance can be predicted in advance, allowing for timely maintenance and mitigation measures. Originality/value (1) Establishment of the cable dynamic model and investigation of the vibration characteristics of the parafoil traction cable with regard to the axial velocity. It can help us gain a better understanding of the cable characteristics and serves as the foundation for subsequent analysis. (2) Simulation of a cable FEM based on geometric and material characteristics to obtain the cable stresses, strains and vibration displacements under various transient loads. It provides theoretical guidance for the cable wear or fracture failure, structure design and vibration control. (3) Establishment of the explicit relationship between the local coupling physical characteristics of the finite element and the structural characteristics of the matrix. The local sparsity of the stiffness matrix and the structural consistency of the second-order sparse matrix are revealed, which provides a basis for the efficient modeling and solution of the dynamic response analysis of long-span cables.