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The dynamic characteristics of a rotating elastic body are different from
those when the body is non-rotational. This is due to the existence of
centrifugal force and Coriolis force. The purpose of this paper is to
predict the differences in dynamic characteristics. The strain energy is
formulated by using the non-linear relation between strain and
displacement. Then the Hamilton''s principle is utilized to derive the
equation of motion. The concept of the ''Steady State'' is introduced to
linearize the equation of motion for the displacement of vibration. The
method of eigenfunction expansion is applied to solve the equation.
Several solved problems are re-solved by our theory and the results of
ours are proved to be correct. We also give a formulation of the solution
for the blades of turbomachinery, which are widely used in jet engines or
generators. An experiment is set up to verify our theory. The result of
our theory shows excellent agreement with that of the experiment.
一個在定速旋轉狀態下的線性彈性體的動態特性，會因為離心力與柯氏力的影響，而
與非旋轉時的動庀特性有所不同。本文的目的，便是想將這動態特性的變化，利用在
彈性體非旋轉時所能量測到的資料，來將其預測出來。非旋轉時動態特性的量測，係
利用模態測試(Model Testing) 的方法。文中先利用非線性的應變─位移關係式，來
導出應變能的數學形式，然後與動能項，外力與阻尼力所作的功代入漢米頓原理
(Hamilton''s principle)來導來運動方程式。接著利用靜穩態(Steady state)的觀念
，將方程式針對振動位移作線性化而得振動位移的運動方程式。然後利用特徵函數展
開法(Eigenfunction expansion) 來求得解的通式，並對於幾種有解（解析解或數值
解）的案例做計算結果之比較。本文並對渦輪機械的葉片完成導式。最後完成實驗來
證明本文理論的可靠性。
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