Vibrations of A Beam of Varying Cross Section with End Mass
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摘要: 一端帶有剛性質量的變截面懸臂梁的振動問題,應用于塔式建筑結構。借助于Bessel函數,給出了振動系統的頻率方程,并在一些參數值變化的情況下,給出了若干組前三階頻率值。得到的所有基頻與已有文獻中的結果完全一致,并能算出系統的任意階頻率。Abstract: The vibrations of beam with a mass attached to its end is discussed. This model applied to civil engineering towers. By using Bessel functions, the frequancy equation is obtained. The frequancy rallies of the first mode, 2nd mode and 3rd mode for many cases are calculated. The fundamental frequancy calculated by present paper are agreement with other approximate method, but present method can calculate the frequancy of any orders.
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Key words:
- etastically restrained /
- frequancy /
- rotational springs
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