Frequency correction and cable force optimisation in prestressed cable net structures using response surface methodology

To address the limited research on glass curtain wall prestressed cable net structures and the challenges in achieving accurate cable force measurements, this study explores frequency correction and cable force optimisation using the response surface methodology. A central composite design and regression analysis were utilised to establish the frequency response surface function of the cable net’s finite element model. By optimising key structural parameters based on measured frequency values, boundary conditions and finite element models were significantly improved, enabling the correction of cable forces calculated via the frequency method. The findings reveal that interaction and quadratic terms, such as cross-sectional area and density, substantially influence the vibration characteristics of the cable net. Following optimisation, the finite element model demonstrates a frequency error of less than 0.5%, and the accuracy of cable force calculations using string theory and beam theory improves by at least 14.39%. This study offers valuable insights for structural health monitoring and performance optimisation of prestressed glass curtain wall cable net systems.