Dynamic Response of Simple Plate Structure Under Various Boundary and Excitation Condition

Abstract

The dynamic response of plate structures is a fundamental concern in engineering due to its critical role in ensuring the safety, reliability, and performance of various systems. Plates are commonly subjected to a wide range of boundary conditions—such as clamped, simply supported, and free edges—and may experience different types of excitations, including harmonic, impulsive, and stochastic loads. This study presents an analytical and numerical framework to evaluate the vibration characteristics of plates under multiple boundary constraints. The primary objective is to characterize the modal behavior of plates as influenced by different boundary conditions. Using finite element analysis, the natural frequencies and mode shapes of the plate are investigated to assess the sensitivity of its dynamic response to support conditions. The findings provide detailed insights into how boundary restraints affect structural vibration behavior, which is essential for mitigating resonance risks, minimizing fatigue damage, and supporting the design of resilient structural components. This work contributes to the field of structural dynamics by offering a predictive basis for the dynamic analysis of plate-like structures in aerospace, civil, and mechanical engineering applications.