本文選題：波函數(shù)法　切入點(diǎn)：薄板　出處：《重慶大學(xué)學(xué)報(bào)》2017年06期 　論文類型：期刊論文

【摘要】：板梁耦合結(jié)構(gòu)是典型的中頻振動(dòng)結(jié)構(gòu)。針對現(xiàn)有的確定性數(shù)值分析方法在中頻預(yù)測的不足,基于波函數(shù)法(WBM)理論提出了預(yù)測板梁耦合結(jié)構(gòu)的振動(dòng)響應(yīng)方法。在Kirchhoff薄板與Euler-Bernoulli梁振動(dòng)響應(yīng)基礎(chǔ)上,以振動(dòng)位移與轉(zhuǎn)角為耦合量,運(yùn)用加權(quán)余量法推導(dǎo)了板梁耦合結(jié)構(gòu)的系統(tǒng)矩陣,建立了板梁耦合結(jié)構(gòu)的波函數(shù)法模型。以四邊固支的矩形板與細(xì)長梁耦合結(jié)構(gòu)為例進(jìn)行了驗(yàn)證,其100Hz時(shí)的振動(dòng)響應(yīng)位移云圖與50~500Hz頻響結(jié)果表明,相較于有限元(FEM)模型,基于波函數(shù)法的板梁耦合結(jié)構(gòu)振動(dòng)響應(yīng)模型能有效預(yù)測更高頻率的振動(dòng)響應(yīng),且該模型有著更高的收斂性,在相同計(jì)算精度下,計(jì)算成本(模型自由度與計(jì)算時(shí)間)降低明顯。
[Abstract]:The plate beam coupling structure is a typical intermediate frequency vibration structure. In view of the shortcomings of the existing deterministic numerical analysis methods in intermediate frequency prediction, Based on the theory of wave function method (WBM), a method for predicting the vibration response of a plate-beam coupled structure is proposed. On the basis of the vibration response of a Kirchhoff thin plate and a Euler-Bernoulli beam, the vibration displacement and the rotation angle are taken as coupling quantities. The system matrix of slab-beam coupling structure is derived by using weighted residual method, and the wave function model of slab-beam coupling structure is established. The results of vibration response displacement cloud and 50 ~ 500Hz frequency response show that compared with the finite element model, the vibration response model based on wave function method can effectively predict the higher frequency vibration response of plate and beam coupling structure. The model has higher convergence, and the computational cost (degree of freedom and computing time) is obviously reduced under the same calculation precision.
【作者單位】： 四川農(nóng)業(yè)大學(xué)機(jī)電學(xué)院;重慶大學(xué)汽車工程學(xué)院;
【基金】：中央高�；究蒲袠I(yè)務(wù)費(fèi)資助項(xiàng)目(106112016CDJZR335522)~~
【分類號】：O327

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本文編號：1575614