Full-Field Out-of-Plane Displacement Measurement of Plate Structures by Monocular Parametric Homography and Finite-Element-Based Digital Image Correlation
摘要
Vision-based measurement methods are nowadays widely used in structural tests due to their non-contact nature and full-field measurement capability. Typically, out-of-plane motion measurements require two or more cameras to compensate the depth information, with the additional cameras and synchronization systems increasing the overall cost.
ObjectiveTo propose an efficient monocular vision method for measuring the full-field out-of-plane displacement of plate structures.
MethodsThe image area of interest is first discretized into finite elements, and a full-field warp function is built by interpolating the out-of-plane nodal displacements using finite element shape functions. Subsequently, the parametric homography is combined with the finite element-based warp function to relate image motion to out-of-plane displacement. The nodal displacements are then determined by matching the deformed and un-deformed image regions within the digital image correlation (DIC) framework.
ResultsNumerical simulations confirm that the measurement error remains at a low level under appropriate element size and camera configurations. Experimental validation on the out-of-plane vibration of a steel plate further demonstrates a close agreement with the laser vibrometer results in both displacement and mode frequency/shape measurements.
ConclusionsThe proposed monocular method enables cost-effective measurement of full-field out-of-plane displacement, demonstrating its potential as a practical tool for out-of-plane vibration analysis and modal identification of plate structures.