Dynamic Responses of Clamped-clamped Beams under Moving Loads Based on Chebyshev-Ritz Method
Based on the theory of small deformation and two-dimensional elastic mechanics,the Chebyshev-Ritz method was used to analyze the dynamic response of a beam fixed at both ends under a moving concentrated simple harmonic load.The product of the first type of Chebyshev polynomial and the boundary characteristic function was used as the trial function of the beam displacement,and a method for solving the natural frequency of any order of the beam was given.The Newmark-β method was used to solve the vibration control equation and obtain the numerical solution for the beam displacement response.The convergence analysis showed that the numerical value solved by this method was stable with rapid convergence and high accuracy.The comparison with the finite element software ANSYS showed good consistency.Finally,the different speeds under acceleration,deceleration,and uniform motion were analyzed,along with the influence of load frequency on displacement response,providing data support and a theoretical reference for bridge damage detection and calculation.
万方数据
