Vibration analysis of partially cracked plate submerged in fluid

摘要: Abstract The present work proposes an analytical model for vibration analysis of partially cracked rectangular plates coupled with fluid medium. governing equation motion the isotropic plate based on classical theory is modified to accommodate a part through continuous line crack according simplified spring model. influence surrounding medium incorporated in form inertia effects velocity potential function and Bernoulli's equations. Both totally submerged configurations are considered. also considers in-plane stretching due lateral deflection forces which introduces geometric non-linearity into system. fundamental frequencies evaluated by expressing terms modal functions. assessment results carried out intact as best author's knowledge literature lacks plates. New presented affected length, level, density immersed depth plate. By employing method multiple scales, frequency response peak amplitude structure analyzed. non-linear curves show phenomenon bending hardening or softening effect dynamic pressure