Research Article
Oct 1977
Variable Order Finite Elements for Plate Vibration
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VIEW THE REPLYPublication: Journal of the Engineering Mechanics Division
Volume 103, Issue 5
Abstract
Rectangular finite elements with a variable number of degrees-of-freedom per element are developed for thin elastic plates. The displacement field for the element is described by a fixed series of polynomial terms plus a variable number of trigonometric terms. The polynomial terms alone are sufficient to describe the displacement field, and the additional trigonometric terms allow for better description of the displacement field within the element. If only the polynomial terms are used, the element becomes a standard type of finite element; whereas, if only one element is used, the procedure becomes the classical Rayleigh-Ritz method. A limited number of comparisons indicate that using one high-order element yields better frequencies than using many low-order elements with the same total number of system degrees-of-freedom. The low order elements have computational advantages which may make them superior when considering overall computational efficiency.
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Information
Published In
Journal of the Engineering Mechanics Division
Volume 103 • Issue 5 • October 1977
Pages: 779 - 787
Copyright
© 1977 American Society of Civil Engineers.
History
Published in print: Oct 1977
Published online: Feb 3, 2021
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Authors
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James R. Hutchinson
Prof., Dept. of Civ. Engrg., Univ. of California at Davis, Davis, Calif.
John J. Benitou, M.ASCE
Engr. Designer; Pacific Gas & Electric Co., San Francisco, Calif.
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