DSC Analysis of Rectangular Plates with Non-Uniform Boundary Conditions

• Main Authors: ZHAO, Yibao, WEI, G. W.
• Format: text
• Language: English
• Published: Institutional Knowledge at Singapore Management University 2002
• Subjects: Discrete singular convolution; Rayleigh method; Ritz variational methods; Vibration analysis; Physical Sciences and Mathematics
• Online Access: https://ink.library.smu.edu.sg/lkcsb_research/933; https://ink.library.smu.edu.sg/context/lkcsb_research/article/1932/viewcontent/DSC_Analysis_2002.pdf
• Institution: Singapore Management University

This paper introduces the discrete singular convolution (DSC) for the vibration analysis of rectangular plates with non-uniform and combined boundary conditions. A systematic scheme is proposed for the treatment of boundary conditions required in the proposed approach. The validity of the DSC approach for plate vibration is tested by using a large number of numerical examples that have a combination of simply supported, clamped and transversely supported (with non-uniform elastic rotational restraint) edges. The present results are in excellent agreement with those in the literature.