Vibration Analysis of a Perforated Beam Subjected to Quarter Car-Suspension System Dynamics

Abstract

The present study investigates the vibration analysis of a perforated beam within the framework of dynamics of a quarter car-suspension system. Perforated beams are commonly utilized in engineering applications due to their capacity to provide similar strength characteristics while exhibiting lower bulk and cost in comparison to fully solid beams. The focus of the inquiry revolves around the dynamic interplay between an Euler-Bernoulli beam, which is represented using easily supported boundary conditions, and a moving car. The distinctive attributes of the perforated beam are identified, and the equation of motion for the system is derived using the Lagrangian approach, employing energy equations. The differential equations that describe the equation of motion are then converted into the state-space representation. These equations are later solved in the time domain using the fourth-order Runge-Kutta method, which provides high accuracy. This study specifically examines the effects of parameters, such as the number of holes and the filling ratio within the cross-sectional area of the perforated beam, on both the dynamic oscillation and the dynamics of the perforated beam. This analysis provides useful insights into the complex dynamics of perforated beams under quarter car suspension systems, elucidating the impact of different factors on the system's overall behavior. The present study enhances the comprehension of the use of perforated beams in engineering and provides a basis for enhancing their design with regard to structural efficiency and cost-effectiveness.