Image-based displacement measurements provide a contactless, full-field, high-spatial resolution alternative to conventional measurement approaches in the field of structural dynamics. Particularly at higher frequencies, vibrations are exhibited with relatively small displacement amplitudes, that are often hidden below the noise floor. Motion magnification methods can be used to magnify and visualize displacements, invisible to the naked eye. In the present work, a mode-shape magnification method, based on experimental modal analysis is presented as an alternative to established motion magnification methods. The response of the structure to dynamic excitation is simultaneously measured using a high-speed camera and a reference piezoelectric accelerometer. A simplified gradient-based optical flow method is extended to two dimensions in this work and used to extract full-field displacements. A hybrid modal analysis is then performed, combining the high dynamic range of the accelerometer and full-field imagebased measurements to extract the studied structures mode-shape with high spatial resolution. Modeshape magnification is then performed by first forming a planar triangle mesh on top of the image data. The mesh is then warped according to the identified mode shape, scaled by a scalar factor. The known locations of the mesh nodes in their original and translated state are used to perform element-wise affine transformation of the image. The final result of the procedure is an image of the magnified mode shape. In the present research, the hybrid modal identification method is extended to two dimensions and employed to extract and visualize very subtle motion completely covered by image noise. The presented mode-shape magnification method is also computationally efficient, as the displacements are identified using a linear relation to image intensity values. Compared to established motion-magnification methods, the present approach is therefore faster and capable of magnifying smaller motion. The performance of the mode-shape magnification method is demonstrated on two test cases; flexural modes of a simply supported notched beam and a sheet-metal impeller cover exhibiting complex geometry and a 3D dynamic response.
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