Experimental modal analysis (EMA) is a well-established procedure for determining the modal parameters of a structure. Typically, a point-force is used to excite the structure and the translational response is measured. When performing an EMA, problems with a reliable modal-parameter estimation can arise whenever a selected reference point is located in the proximity of a node for any mode shape in interest. This problem can be addressed by performing multi-reference measurements; however, a non-coincidental position with respect to the remaining nodes cannot be guaranteed. In this research a novel modal-identification method, based on multiple related experimental response models at a single reference point, is proposed as an alternative to the established multi-reference measurement. The idea is to combine multiple response models of the same structure, acquired by different types of sensors (e.g., translational and rotational) for which the nodes of the response-related modal shapes do not coincide. The Least-Squares Frequency-Domain (LSFD) method is modified by considering the mutual relations of the acquired response models. The proposed methodology is experimentally validated on a homogeneous aluminum beam. The proposed method shows both a successful modal identification and an increased consistency of the identified modal constants, despite the proximity of the nodes to the selected reference point.

实验模态分析（EMA）是确定结构的模态参数的公认方法。通常，使用点力来激发结构，并测量平移响应。当执行EMA时，只要所选择的参考点位于感兴趣的任何模式形状的节点附近，就会出现可靠的模态参数估计问题。可以通过执行多参考测量来解决此问题。但是，不能保证相对于其余节点的不一致位置。在这项研究中，提出了一种新颖的模态识别方法，该方法基于在单个参考点上的多个相关实验响应模型，作为已建立的多参考测量的替代方法。这个想法是结合由不同类型的传感器（例如，平移和旋转）获得的，具有相同结构的多个响应模型，对于这些传感器，与响应相关的模态形状的节点不一致。考虑到所获得的响应模型之间的相互关系，对最小二乘频域（LSFD）方法进行了修改。在均质铝梁上通过实验验证了所提出的方法。所提出的方法显示了成功的模态识别和所识别的模态常数的增加的一致性，尽管节点靠近所选参考点。考虑到所获得的响应模型之间的相互关系，对最小二乘频域（LSFD）方法进行了修改。在均质铝梁上通过实验验证了所提出的方法。所提出的方法显示了成功的模态识别和所识别的模态常数的增加的一致性，尽管节点靠近所选参考点。考虑到所获得的响应模型之间的相互关系，对最小二乘频域（LSFD）方法进行了修改。在均质铝梁上通过实验验证了所提出的方法。所提出的方法显示了成功的模态识别和所识别的模态常数的增加的一致性，尽管节点靠近所选参考点。