Mohammed, J.K. 2025. Recent Advances in Approximate Methods for Predicting Nonlinear Vibrations in Cantilever Beams and Plates: A Review. EURASIAN JOURNAL OF SCIENCE AND ENGINEERING. 11, 2 (Aug. 2025), 155–178. DOI:https://doi.org/10.23918/eajse.v11i2p11.