结构动力学模型中阻尼特性参数的修正

将结构分析计算的稳态位移响应和相应实测数据的差异映射为具有能量意义的误差范数，通过最小化该误差范数来修正与结构系统有关的阻尼特性参数．通过计算的或实测的频响函数获得稳态响应数据，使用的幅值在理论上完全包含了所有的复模态信息，参数值正过程采用迭代的方式．给出仿真算例，并对实验数据有噪声和无噪声两种情况进行了研究，结果表明方法合理且可行．

AN UPDATING METHOD FOR DAMPING PARAMETERS OF STRUCTURAL DYNAMICAL MODEL

This study is focused on correcting damping parameters of structural dynamical model via steady displacement response of complex structure. Many earlier researches dealt with damping property concerned by using identified natural frequencies, mode shapes or mode damping factors in updating. These approaches are restricted by limited number of identified mode parameters, and the number of possible corrected parameters would be limited. Even more, it will not assure that the corrected model can completely reveals the real system dynamical characteristics, thus the correlations between the system responses and experimental data at arbitrary exciting frequency can not be ensured. To alleviate these deficiencies, it is proposed to use complex displacement quantities to involve all amount of available information. Firstly, a new error norm on the constitutive relations is defined, and the corrected program is then developed. Response data of the structural system can be readily calculated with testing frequency response functions, and relevant analytical data can also be solved. Thus all these data are obtained over whole frequency bandwidth. An expanding method to uncompleted test data is also developed. The damping property parameters are modified through an iterative process. An example is used to illustrate the effectiveness and validity of the presented method. It is found that even if the experimental data are noisy, the result is still satisfactory.