Comprehensive Nonlinear Vibration Analysis of PLA Cantilever Plates: Analytical, Numerical, and Experimental Approaches

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This study investigates the vibration characteristics of 3D-printed polylactic acid (PLA) cantilever beams using a hybrid analytical–numerical–experimental framework. Two low-cost sensing techniques—an MPU6050 accelerometer and a GoPro Hero10 vision-based system—are systematically evaluated against analytical Euler–Bernoulli and numerical ANSYS models. The analytical and numerical approaches show strong consistency for the first three natural frequencies (Mode 1: 10.22–10.31 Hz; Mode 2: 64.04–64.58 Hz; Mode 3: 179.34–180.95 Hz). Experimentally, the GoPro accurately captures the first mode (10.5 Hz), while the accelerometer successfully detects the first two modes but deviates in the third mode due to nonlinear mass-loading and sensor–structure coupling effects. The findings highlight both the capability and limitations of low-cost SHM tools and provide new insights into nonlinear behaviour in lightweight polymeric beams. The novelty of this work lies in its multi-method validation and explicit quantification of nonlinear deviations, offering a practical framework for accessible vibration-based monitoring.

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25-36

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May 2026

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© 2026 Trans Tech Publications Ltd. All Rights Reserved

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