Free vibration analysis of perforated plate with square penetration pattern using equivalent material properties

• Main Authors: Myung Jo Jhung, Kyeong Hoon Jeong
• Format: Article
• Language: English
• Published: Elsevier 2015-06-01
• Series: Nuclear Engineering and Technology
• Subjects: Effective modulus of elasticity; Finite-element analysis; Ligament efficiency; Natural frequency; Perforated plate; Rayleigh–Ritz method; Square plate
• Online Access: http://www.sciencedirect.com/science/article/pii/S1738573315000856

In this study, the natural frequencies of the perforated square plate with a square penetration pattern are obtained as a function of ligament efficiency using the commercial finite-element analysis code ANSYS. In addition, they are used to extract the effective modulus of elasticity under an assumption of a constant Poisson's ratio. The effective modulus of elasticity of the fully perforated square plate is applied to the modal analysis of a partially perforated square plate using a homogeneous finite-element analysis model. The natural frequencies and the corresponding mode shapes of the homogeneous model are compared with the results of the detailed finite-element analysis model of the partially perforated square plate to check the validity of the effective modulus of elasticity. In addition, the theoretical method to calculate the natural frequencies of a partially perforated square plate with fixed edges is suggested according to the Rayleigh–Ritz method.