VIBRATION OF THE PLATE DE FORME ELLIPTIQUE
Keywords:elliptic, jammed and hinged plate, frequenci
Whole elliptic form a plate on an external contour is jammed or pin-ended. In this work the smallest eigenfrequencies at the symmetric vibrations of such plate are determined.The calculations of frequency parameter on different approximate formulas are conducted with the purpose of determination of their ranges of definition. All exhibited formulas for a frequency parameter at the values of eccentricity of ellipse approximately less or equal 0.5 coincide. At the increase of eccentricity the results of calculation substantially diverge and needed further theoretical experimental researches for establishment of law of change of frequency parameter depending on an eccentricity. For a whole elliptic pin-ended plate is developed the algorithm of determination of frequency parameter. On the basis of Mathieu function a frequency equation was composed and his smallest roots was found. The smallest frequencies of symmetric vibrations were calculated. As well as in case of the jammed plate frequency of vibrations increase with the increase of eccentricity
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