中文摘要：

在结构声传播和声场响应研究中，往往需要以设备的激励特性作为计算模型的输入。若虚拟力作用下的结构响应与真实响应一致，可用虚拟力代替真实激励作为模型输入。文章在前人虚拟力模型的基础上结合改进的分部优化正则化方法，解决测量导纳矩阵的病态问题，提高虚拟力估算精度。文中通过电机模型实验对比了不同正则化方法下虚拟力对结构响应的重构误差，验证文中方法在虚拟力估算中的可行性和准确性。

英文摘要：

In the analysis of structure-borne noise transmission and underwater sound response, the char acteristics of machine force are always needed as inputs of calculation model. The machine forces can he substituted for a number of pseudo-forces on the condition that the fictitious forces exactly reproduce the response caused by the generating mechanism inside the source. In this paper, a regularization technique based on partial optimization is introduced into the pseudo-force model to solve the ill-posed problem. A electromotor model experiment was carried out to prove the validation and evaluate the calculation model, and the reconstruction errors of structural response with different regularization methods was compared and analyzed.