Transition curve from Plate-Like to Beam-Like Behavior of Free-Free Beams and Plates for Case Study Changed Material Properties

Abstract

This paper deals about Transition curve from Plate-Like to Beam-Like Behavior of Free-FreeBeams and Plates. The uniform cross section area of free-free beams and plates were used in thiswork. The model were produced with thickness 5 mm. The length was fixed 500 mm. and the breadthwas varied with the aspect ratios from 0.25 up to 20. Three material properties variation as followDensity, Young’s modulus and Poisson’s ratio were set up. The finite element program (ANSYS) wasused to analyze the free vibration of free-free beams and plates to set the natural frequencies andmode shapes. It was used to calculate the first 40 natural frequencies and mode shapes. The transitionbehavior of the mode shapes in each geometric ratios were subsequently observed. Then therelationship of the mechanical properties and geometric ratios variation were discussed. Theserelationships were presented in the two variables nonlinear equations.