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基于梁弯曲挠度的三次样条插值,利用应变能损伤定位指标和有限元损伤状态方程,建立了梁损伤识别的两阶段方法.首先假定结构损伤对结构应力重分布影响较小,证明了损伤梁单元的静态应变能改变量大于零.考虑测量噪声及挠度三次样条插值近似引起的误差,引入损伤定位指标阈值和损伤概率,确定了梁的可能损伤单元.在此基础上,利用有限元法,建立了可能损伤单元的损伤状态方程,通过损伤状态方程的求解完成损伤程度的确定.最后,为验证所提损伤识别两阶段方法的有效性和可靠性,对简支梁和固支梁的损伤情况进行了数值模拟,结果表明:所提方法不仅可有效地识别梁损伤单元,而且对测量噪声具有较强的鲁棒性.
Based on the cubic spline interpolation of beam bending deflection, a two-stage method of beam damage identification is established by using strain energy damage localization index and finite element damage state equation.Firstly, it is assumed that structural damage has little effect on structural stress redistribution and it is proved that damage beam The change of static strain energy of the element is greater than 0. Considering the error caused by the approximation of the cubic spline interpolation of measurement noise and deflection, the threshold of damage location and the probability of damage are introduced to determine the possible damage elements of the beam.On this basis, the finite element method , A damage state equation of the damage unit is established and the damage degree is determined by solving the equation of damage state.Finally, in order to verify the validity and reliability of the proposed two-stage damage identification method, The results show that the proposed method not only can effectively identify the beam damage unit but also has strong robustness to the measurement noise.