【摘要】：在機(jī)械工程中,對(duì)結(jié)構(gòu)在不同頻率激勵(lì)下的振動(dòng)響應(yīng)進(jìn)行分析預(yù)測(cè)具有重要的意義。功率流有限元法以其適用頻率范圍較廣,可得到結(jié)構(gòu)響應(yīng)的細(xì)節(jié)信息等優(yōu)點(diǎn)成為振動(dòng)分析領(lǐng)域的研究熱點(diǎn)。利用功率流有限元方法對(duì)薄板的彎曲波能量密度進(jìn)行了求解,使用加權(quán)殘差法導(dǎo)出了薄板單元節(jié)點(diǎn)的能量密度殘差,利用線性四邊形網(wǎng)格對(duì)薄板進(jìn)行網(wǎng)格劃分并在此基礎(chǔ)上建立了單元的有限元方程,進(jìn)一步地通過(guò)對(duì)單元有限元方程的組裝和求解得到了薄板上各個(gè)節(jié)點(diǎn)處的能量密度響應(yīng),引入線性三角形網(wǎng)格以處理復(fù)雜形狀薄板能量密度的求解,對(duì)使用功率流有限元方法求解任意形狀薄板上的能量密度分布問(wèn)題具有一定意義。
[Abstract]:In mechanical engineering, it is of great significance to analyze and predict the vibration response of structures under different frequency excitations. The power flow finite element method has become a research hotspot in the field of vibration analysis because of its wide frequency range and the advantages of obtaining the detailed information of the structural response. The energy density of bending wave of thin plate is solved by power flow finite element method, and the energy density residuals of thin plate element nodes are derived by using weighted residual method. Based on the linear quadrilateral mesh, the finite element equation of the thin plate is established, and the energy density response at each node on the thin plate is obtained by assembling and solving the finite element equation. Linear triangular meshes are introduced to solve the energy density of thin plates with complex shapes, which is of great significance for solving the energy density distribution problem of thin plates with arbitrary shape by using the power flow finite element method.
【作者單位】： 山東大學(xué)機(jī)械工程學(xué)院;山東大學(xué)高效潔凈機(jī)械制造教育部重點(diǎn)實(shí)驗(yàn)室;
【基金】：國(guó)家自然科學(xué)基金(51275275;51675306) 山東省優(yōu)秀中青年科學(xué)家科研獎(jiǎng)勵(lì)基金(BS2010ZZ006)
【分類(lèi)號(hào)】：TH113.1

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1 馬廷鈞;;論一維機(jī)械波的能量密度[J];北京輕工業(yè)學(xué)院學(xué)報(bào);1988年02期

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