Abstract: Since the inverse problem of damage identification can be regarded as an optimization problem, the most valuable player optimization algorithm was proposed for the structural damage identification. A new objective function was defined for the natural frequency and mode shape of the structure by using the statistical analysis method of root mean square data, and the penalty function was introduced to reduce the misidentification information. Finally, the most valuable player algorithm was used to identify the location and degree of structural damage. A simply supported beam and a truss structure were numerically analyzed, and the identification effects under different objective functions were compared. The influence of uncertainty and noise was considered. The research results show that the proposed new objective function can provide more accurate and reliable damage identification results than other objective functions do.

Key words: bridge engineering; structural damage; most valuable player algorithm; uncertainty; penalty function; stability

摘要： 将损伤识别逆问题看作是一个优化问题，提出了最有价值球员优化算法，对结构损伤进行识别研究；利用均方根数据统计分析法将结构固有频率和振型定义为一个新目标函数，引入罚函数以减少误识别信息，由最有价值球员算法识别出结构损伤位置和损伤程度。考虑不确定性因素和噪声的影响，对一简支梁和桁架结构进行数值分析，对比不同目标函数下识别效果进行识别。研究结果表明：提出的新目标函数能提供更加准确可靠的损伤识别结果。

关键词: 桥梁工程；结构损伤；最有价值球员算法；不确定性因素；罚函数；稳定性