承弯结构的曲率模态分析

曲率模态常用于计算结构动强度设计中的应力状态。针对桥梁等承弯结构研究曲率模态与应变模态之间的关系 ,阐明了曲率模态分析的理论依据及其特性 ,如曲率模态的正交性和叠加性等 ;推导了有关公式并据以说明曲率模态试验方法和参数识别 ;探讨了曲率模态在动强度设计、结构损伤检测等方面的应用。由于曲率模态是结构的中性面的变形模态 ,它对结构的局部变化与应变有相同的敏感性 ,但其模态表达式将比应变模态简单 ,而应变与曲率之间有简单的关系 ,因此曲率模态在动态设计应用上将更为方便

Curvature modal analysis forbending structures

The dynamic strength of a component is usually calculated using the stresses and strains of the structure from the curvature strain relationship, although the strain modal analysis can be used directly. The relation between the curvature mode and the strain mode for structures such as bridges subjected to bending and vibrations was discussed. The theoretical basis was developed for the curvature modal analysis and the curvature mode properties such as orthogonality and superimposability. The curvature frequency response function (CFRF) equations were derived. Curvature measurements and modal test methods were discussed with a brief intorduction to the usage of curvature modal analysis in dynamic strength design and damage detection. The results show that the curvature mode will be more conveniently used than the strain mode.