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为了提高损伤识别的准确性,开发了一种基于结构振动模态和Gauss-Newton算法的结构损伤识别方法。根据测量误差在损伤识别过程中的扩散,建立了损伤识别偏差的上限估计公式。用优化传感器布置的方法来减小损伤识别偏差上限,设计了相应的组合优化算法。通过数值算例验证了该方法的有效性。该方法被应用于识别一座实际桥梁的损伤情况,也得到了比较满意的结果。
In order to improve the accuracy of damage identification, a structural damage identification method based on structural vibration mode and Gauss-Newton algorithm is developed. According to the diffusion of measurement error in the process of damage identification, an upper bound estimation formula of damage identification error is established. With the optimization of the sensor arrangement to reduce the upper limit of the damage identification bias, a corresponding combination optimization algorithm is designed. Numerical examples show the effectiveness of this method. This method is applied to identify the damage of an actual bridge and obtain satisfactory results.