Dynamic Analysis of Elastic Plates with Circular Holes

The problem of the free vibrations of a rectangular elastic plate, either clamped or simply supported, with a central circular hole has been investigated by a least-squares point-matching method. The results are given in the form of curves relating the natural frequency of the plate to the hole size...

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Bibliographische Detailangaben
Hauptverfasser:	Hegarty,R. F, Ariman,T
Format:	Report
Sprache:	eng
Schlagworte:	BENDING BOUNDARY VALUE PROBLEMS CIRCULAR HOLES DYNAMIC STRUCTURAL ANALYSIS FATIGUE(MECHANICS) HULLS(MARINE) LEAST SQUARES METHOD LOADS(FORCES) Marine Engineering Mechanics METAL PLATES PLATES(STRUCTURAL MEMBERS) POISSON RATIO RECTANGULAR BODIES RESONANT FREQUENCY STRESSES VIBRATION
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Beschreibung
Zusammenfassung:	The problem of the free vibrations of a rectangular elastic plate, either clamped or simply supported, with a central circular hole has been investigated by a least-squares point-matching method. The results are given in the form of curves relating the natural frequency of the plate to the hole size for a variety of Poisson's ratios. The curves do not behave monotonically, and the hole size at which the frequency is a minimum is seen to be dependent not only on the boundary conditions but also on Poisson's ratio. A two-fold mechanism of strain relief and mass reduction is proposed to explain these results as well as the results of previouw studies on the vibrations of plates with discontinuities. (Author) Report on 'Deep Ocean Engineering.'