Author: Zhang, Yiting Title: Free vibration analysis of cracked rectangular plates using the discrete singular convolution method Advisors: Lai, S. K. (CEE) Degree: M.Sc. Year: 2017 Subject: Hong Kong Polytechnic University -- DissertationsPlates (Engineering) -- Mathematical modelsPlates (Engineering) Department: Faculty of Construction and Environment Pages: xi, 89 pages : color illustrations Language: English Abstract: This research is concerned with analytical modeling of the effects of cracks in structural rectangular plates based on classical plate theory. A numerical method called the -Discrete Singular Convolution (DSC) method is adopted for free vibration analysis of cracked rectangular plates. In reality, the occurrence of cracks in structures is a major problem that will affect the plate characteristics and reduce its stiffness, causing disaster consequences. Based on the damage detection methodology, the research of cracked plates is an important task and abundance simulating models have been presented. In this paper, the cracked plates are governed by a line-spring model to simulate and obtain the governing equation. The line-spring model (LSM) is a simplified model to describe the status of cracked plates. In order to obtain the vibration results, the DSC method is employed to solve the high-order governing equation. The combination of the line-spring model and the DSC method can provide a better understanding of the vibration characteristics of cracked plates. The DSC method not only can provide high accuracy results, but also it is flexible in the complex structural analysis. In this paper, the vibration analysis of a rectangular thin isotropic plate with a part-through surface crack located at the centre of the plate is investigated. Three main boundary conditions such as simply supported, clamped and elastically restrained edges are studied. To verify the present research, vibration frequencies and mode shapes are presented to compare with the existing data. Convergence and comparison studies are also conducted. Finally, a conclusion of this research and some recommendation about the extended study of cracked plates are provided. Rights: All rights reserved Access: restricted access

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