Abstract

A photogrammetry-based experimental modal analysis (EMA) method is developed, where a single-point laser shines a laser beam to a surface of a test object and an exterior feature is added to the test object in the form of a high-contrast laser spot. A three-dimensional kinematic model is developed to derive the kinematic relation between the laser spot and its associated image target on an image plane of a camera. A point-tracking technique is proposed to determine two-dimensional pixel coordinates of the optical intensity centroid of the image target on a digital image. The derived kinematic relation and EMA method were experimentally investigated. In the experimental investigation, displacements of multiple points at a cantilever beam were measured by a digital camera. Natural frequencies and mode shapes of the cantilever beam were estimated using the EMA method, and they compared well with those from a finite element model of the cantilever beam.

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