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梁結(jié)構(gòu)振動(dòng)問題的邊界元法解析
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    摘要:

    針對(duì)梁結(jié)構(gòu)振動(dòng)在工程應(yīng)用中的問題，以梁元件的彎曲振動(dòng)為例，從梁元件彎曲振動(dòng)的控制微分方程出發(fā)，推導(dǎo)了梁元件彎曲振動(dòng)的邊界元法解析公式，提出了局部區(qū)間步長細(xì)化的頻率掃描方法，利用Matlab軟件編制了梁元件振動(dòng)問題求解的邊界元法解析程序，最后給出了梁元件振動(dòng)問題求解的相關(guān)算例。結(jié)果表明，邊界元法對(duì)梁結(jié)構(gòu)進(jìn)行動(dòng)態(tài)分析方便簡單，局部區(qū)間步長細(xì)化頻率掃描方法比常規(guī)掃描方法高效準(zhǔn)確。

    Abstract:

    The vibration of beam structures has an important impact on the application of engineering. Taking the bending vibration of the beam element as a case and embarking upon the control differential equations of it, this paper deduced the analysis formulas of the bending vibration of the beam element by boundary element method (BEM), proposed local-interval-step-thinning frequency scanning method, completed the BEM dynamic analysis program of the beam element by Matlab software, and eventually provided the corresponding examples of dynamic analysis of the beam element. The results indicate that BEM is convenient for dynamic analysis of beam structures. Compared with the conventional scanning method, the local-nterval-step-thinning frequency scanning method has higher efficiency and accuracy.  

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韓旭炤,黃玉美,張永貴,蔡曉江.梁結(jié)構(gòu)振動(dòng)問題的邊界元法解析[J].農(nóng)業(yè)機(jī)械學(xué)報(bào),2008,39(7):178-182.[J]. Transactions of the Chinese Society for Agricultural Machinery,2008,39(7):178-182.

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