• 作者： 芮涵芝
• 作者服務機構： 淡江大學物理系
• 中文摘要： 木文使用蓋羅根近似法探討一正交異向性圓盤在邊界受到均勻彈性約束之下其橫向振盪之第一個非對稱模(j=1)。我們首先形成對任意j的求解方法，直到最緩處理橫向撓曲函數w之具體形式時才限制j=1的情況。這個函數取為(1-r/a)的多項式，〝a〞是圓盤的半徑。我們發現，只要取四項就可得到很好的近似。w的展開係數、最大振幅位置、線性角頻率、時問函數之非線性運動方程式中之其他參數，以及非線性與線性週期比均經計算並製成圖表。將部份資料與原有者比較，證實近似方法十分良好。
• 英文摘要： In this paper we investigate the first nonsymmetrical modes (j=1）of transverse vibrations of ortho-tropic circular plates subject to uniform elastic edge constraints by the Galerkin procedure. The methodof solution is first formulated for an arbitrary j. When we finally come to the specific form of the trans-verse deflection function, w we shall limit ourselves to the single mode j=1. This function is taken as apolynomial in (1-r/a), “a”being the radius of the circle. We find that only the first 4 terms of thispolynomial are required to produce a good approximation. Numerical results of the expansion coeffi-cients in w, points of maxima, the linear angular frequency, the other parameters in the nonlinear equa-tion of motion of the time function, and the nonlinear to linear period ratio are presented. A comparisonof partial results with available ones shows that the present method of approximation is a good one.
• 中文關鍵字： vibrations; orthotropic circular plates
• 英文關鍵字： --