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Full-Text Articles in Physical Sciences and Mathematics
Discrete Singular Convolution For The Prediction Of High Frequency Vibration Of Plates, Yibao Zhao, G. W. Wei, Y. Xiang
Discrete Singular Convolution For The Prediction Of High Frequency Vibration Of Plates, Yibao Zhao, G. W. Wei, Y. Xiang
Research Collection Lee Kong Chian School Of Business
Theoretical analysis of high frequency vibrations is indispensable in a variety of engineering designs. Much effort has been made on this subject in the past few decades. However, there is no single technique which can be applied with confidence to various engineering structures for high frequency predictions at present. This paper introduces a novel computational approach, the discrete singular convolution (DSC) algorithm, for high frequency vibration analysis of plate structures. Square plates with six distinct boundary conditions are considered. To validate the proposed method, a completely independent approach, the Levy method, is employed to provide exact solutions for a comparison. …
The Determination Of Natural Frequencies Of Rectangular Plates With Mixed Boundary Conditions By Discrete Singular Convolution, G. W. Wei, Yibao Zhao, Y. Xiang
The Determination Of Natural Frequencies Of Rectangular Plates With Mixed Boundary Conditions By Discrete Singular Convolution, G. W. Wei, Yibao Zhao, Y. Xiang
Research Collection Lee Kong Chian School Of Business
This paper introduces the discrete singular convolution algorithm for vibration analysis of rectangular plates with mixed boundary conditions. A unified scheme is proposed for the treatment of simply supported, clamped and transversely supported (with nonuniform elastic rotational restraint) boundary conditions. The robustness and reliability of the present approach are tested by a number of numerical experiments. All results agree well with those in the literature.