【摘要】：隨著復(fù)合材料結(jié)構(gòu)的不斷發(fā)展和廣泛應(yīng)用,新的理論和算法也層出不窮。在數(shù)值分析領(lǐng)域,微分求積單元法正在成為越來(lái)越熱門(mén)的數(shù)值方法之一。本文利用弱形式的微分求積單元法分析軟芯三明治梁在移動(dòng)集中載荷的動(dòng)力響應(yīng),闡述了關(guān)鍵的算法,并對(duì)結(jié)果進(jìn)行了討論�；跀U(kuò)展的高階三明治梁理論和Hamilton原理,建立了任意(N)節(jié)點(diǎn)的弱形式微分求積三明治梁?jiǎn)卧２捎肎LL(Gauss Lobatto Legendre)節(jié)點(diǎn),利用微分求積法導(dǎo)數(shù)的權(quán)系數(shù)顯式表達(dá)式和GLL積分給出了單元?jiǎng)偠染仃嚭唾|(zhì)量矩陣的公式。針對(duì)顯式動(dòng)力學(xué)分析要求對(duì)質(zhì)量矩陣進(jìn)行了簡(jiǎn)化。通過(guò)算例首先驗(yàn)證了剛度矩陣和簡(jiǎn)化質(zhì)量矩陣的正確性和方法的有效性,結(jié)果表明弱形式的微分求積單元法具有精度和計(jì)算效率高的優(yōu)點(diǎn)。首次給出了軟芯三明治梁在不同移動(dòng)速度集中載荷作用時(shí)的動(dòng)力響應(yīng),并將所得的結(jié)果與ABAQUS的結(jié)果進(jìn)行了比較以驗(yàn)證其正確性,所得的結(jié)果可以供研究和工程設(shè)計(jì)人員參考,并基于本文的結(jié)果給出了一些結(jié)論。本文的研究拓展了弱形式微分求積單元法的應(yīng)用范圍。
[Abstract]:With the development and wide application of the composite structure, the new theories and algorithms are emerging. In the field of numerical analysis, the differential quadrature cell method is becoming one of the more and more popular numerical methods. In this paper, the dynamic response of the soft-core sandwich beam in the moving concentrated load is analyzed by using the weak-form differential quadrature method, and the key algorithm is set forth, and the results are discussed. Based on the extended high-order sandwich beam theory and the Hamilton principle, an arbitrary (N) node's weak form differential quadrature sandwich beam unit is established. 閲囩敤GLL(Gauss Lobatto Legendre)鑺傜偣,鍒╃敤寰垎姹傜Н娉曞鏁扮殑鏉冪郴鏁版樉寮忚〃杈懼紡鍜孏LL縐垎緇欏嚭浜?jiǎn)鍗曞厓鍒氬害鐭╅樀鍜岃川閲忕煩闃电殑鍏迹?

本文編號(hào)：2428352