High precision full-field vibration measurement by LDV-induced stroboscopic fringe projection

A method for full-field vibration measurement that combines Fourier Transform Profilometry (FTP) and Laser Doppler Vibrometry (LDV) is proposed and validated experimentally on various structures. This technique projects sinusoidal fringe patterns onto the test sample using a flashing LED at an oblique angle, while a CCD camera captures the fringe images vertically. Vibration data is derived from 3-D phase maps generated by applying FTP to these images and is further calibrated using a motorized translation stage. To improve the precision of FTP and extend the measurable frequency range beyond that of normal-rate cameras, initial singlepoint vibration data from the test sample is obtained using LDV. This prior information enables noise decoupling and down-sampling techniques to be employed. The experimental results confirm that this method can precisely reconstruct the high-order operational deflection shapes of vibration on structures with different materials, achieving a precise measurement for vibration amplitude of around 500 nm (1/2000 of fringe spacing) on a 10 cm x 10 cm plastic plate and a 2 cm x 14 cm aluminum beam with approximately 1 mm fringe spacing and 26 degrees projection angle.