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多阶变截面杆弯曲自由振动的计算
引用本文:李桂青,曹宏.多阶变截面杆弯曲自由振动的计算[J].建筑结构学报,1986,7(2):49-54.
作者姓名:李桂青  曹宏
作者单位:武汉工业大学 ,武汉工业大学
摘    要:本文通过引入一组用矩阵形式表示的基本函数,分解了单阶杆的精确解,导出了相应于多阶变截面杆的频率方程和振型函数的通式,并通过计算机处理得到了精确数字解。最后还给出了数值解与理论解的比较。

收稿时间:1986-04-05
修稿时间:1986-04-05

Free Vibrations of Flexutal Bars with Step Tapered Varying Cross-Section
Li Guiqing,Cao Hong.Free Vibrations of Flexutal Bars with Step Tapered Varying Cross-Section[J].Journal of Building Structures,1986,7(2):49-54.
Authors:Li Guiqing  Cao Hong
Affiliation:Li Guiqing,Cao Hong (Wuhan University of Technology)
Abstract:Based on an analysis of free vibrations of flexural beam with continuous variation in cross-section, the characteristic equations of free vibrations of flexural bars with step tapered cross-section are established. Thus, the general equations of frequency and function of the model shape are derived. The equations can be solved numerically by computer. Comparison of numerical solution with the exact solution is also given in the paper.
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