The Testing Methods of Bar Vibrations under Different Boundary Conditions

本文旨在研提新的實驗方法，以測試在不同邊界條件下桿之振動。文中探討鋁桿在自由－自由端、固定－自由及質量－負載端不同邊界條件下桿之縱向、扭轉及橫向振動。在自由－自由端及固定－自由端情況下桿之縱向及扭轉振動之自然頻率具和諧相關特性，而質量－負載端之振動則否；橫向振動之自然頻率亦無此特性，該自然頻率可籍數質值方法經超凡方程式(Transcendenta1 Equations)解得。試桿之部分材料性質可以本文所述求得，且測試值與文獻中之結果甚為吻合。

關鍵字

桿振動；邊界條件；和諧特性；材料性質

並列摘要

New experimental methods are proposed and applied to test bar vibrations under different boundary conditions. The longitudinal, torsional and transverse vibrations under different boundary conditions-free-free ends, fixed-free ends and mass-loaded ends are explored in the aluminum bar. It is observed that the natural frequencies of the free-free bar and the free-fixed bar in the longitudinal and torsional vibrations are harmonically related while it is not true for the mass-loaded bar. The natural frequencies of the transverse vibrations found by numerically solving the corresponding transcendental equations are not harmonically related. Some material properties of the bar are determined by the harmonic natures of these vibrations. Reasonable agreements between the measured and published results are obtained.

並列關鍵字

Bar Vibration ； Boundary Conditions ； Harmonic Natures ； Material Properties

國際替代計量

The Testing Methods of Bar Vibrations under Different Boundary Conditions

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