Non-contact measurement of the response of vibrating structures may be achieved using several different methods including the use of video cameras that offer flexibility in use and advantage in terms of cost. Videos can provide valuable qualitative information to an informed person, but quantitative measurements obtained using computer vision techniques are essential for structural assessment. Motion Magnification in videos refers to a collection of techniques that amplify small motions in videos in specified bands of frequencies for visualization, which can also be used to determine displacements of distinct edges of structures being measured. We will present recent developments in motion magnification for the modal identification of structures. A new algorithm based on the Riesz transform has been developed allowing for real-time application of motion magnification to normal-speed videos with similar quality to the previous computationally intensive phase-based algorithm. Displacement signals are extracted from strong edges in the video as a basis for the data necessary for modal identification. Methodologies for output-only modal analysis applicable to the large number of signals and short length signals are demonstrated on example videos of vibrating structures.
Keywords Computer vision • Non-contact • Modal identification • Mode shape • Motion magnification
IntroductionNon-contact techniques for measuring structures have only recently been available as a serious option. Laser vibrometers provide an accurate way of measuring the surface velocity of an object and are now widely used as the gold standard for non-contact vibration measurement [1]. For large structures, scanning laser vibrometers have the capability of measuring a large number of points in succession, however for phased measurements they require another stationary laser vibrometer to serve as a reference, or they must be continuously scanning systems [2]. Laser vibrometer arrays consisting of multiple laser vibrometers measuring simultaneously are also an option [3]. However in general, laser vibrometers may be prohibitively expensive for many applications.Video cameras collect light from a scene of interest onto a sensor consisting of an array of pixels and can obtain data with high spatial density. Interpretation of this data can be complex, especially to translate a video into quantitative measurement of the vibration and displacements of a structure. Computer vision techniques and digital image correlation have been successfully used to measure displacements of structures and quantify vibrations in structures [4][5][6][7][8].This paper presents developments in structural modal identification in videos using the family of algorithms called motion magnification [9][10][11]. These algorithms can visualize operational deflections shapes (ODS) in a vibrating structure by magnifying motions in a video in a particular frequency band [12]. The most recent development of interest is the development of a Riesz transform based method that allow...