In chapter 3 , 1 consider the nonlinear parabolic equation : where a bounded domain with smooth boundary in ; v is outward normal vector on is a positive function satisfying some compatibility conditions focus my attention on the case of m > 1 , to obtain the blow - up conditions of the positive solution using the method of subsolution and supersolution 運(yùn)用緊致性原理及moser迭代得到了解的整體存在性和解的熄滅性質(zhì)。第三章討論了如下形式的非線性拋物方程:其中m , , 0 , r ~ + ,為r ~ n ( n 1 )中的有界域,具有適當(dāng)光滑的邊界( ? ) ; v是(
The out - of - plane stability of bending beam , which is made up with 2 beams and loaded by non - directional force , is studied . the bending and torsional deflection differential equation of each beam is established in critical condition . according to compatibility conditions of deformation , the characteristic equation is obtained to calculate out - of - plane stability of the cantilever bending beam 對兩節(jié)梁組成的彎曲梁在非保向力作用下的平面外失穩(wěn)問題進(jìn)行了研究,通過建立每節(jié)梁臨界狀態(tài)下彎曲和扭轉(zhuǎn)變形微分方程,根據(jù)桿件變形的邊界條件以及桿件之間的變形協(xié)調(diào)關(guān)系,得出了一端固定一端懸臂的彎曲梁在非保向力作用下平面外失穩(wěn)的特征方程。
A new method , which is based on the force equilibrium condition and the geometrical compatibility condition of cable , according to the constant unstressed length of cable , is presented in this paper to determinate the geometric of suspension bridge free cable . numerical examples with humen suspension bridge are given to demonstrate the effectiveness and the validity of the proposed method 根據(jù)索的力的平衡條件及變形相容條件,由纜索無應(yīng)力長度不變的原則來建立纜索狀態(tài)方程,提出了懸索橋主纜空纜狀態(tài)線形分析的一種新方法.以虎門懸索橋?yàn)槔龑υ摲椒ǖ恼_性和適用性進(jìn)行驗(yàn)證,可供橋梁工程技術(shù)人員設(shè)計(jì)參考
Abstract : a new method , which is based on the force equilibrium condition and the geometrical compatibility condition of cable , according to the constant unstressed length of cable , is presented in this paper to determinate the geometric of suspension bridge free cable . numerical examples with humen suspension bridge are given to demonstrate the effectiveness and the validity of the proposed method 文摘:根據(jù)索的力的平衡條件及變形相容條件,由纜索無應(yīng)力長度不變的原則來建立纜索狀態(tài)方程,提出了懸索橋主纜空纜狀態(tài)線形分析的一種新方法.以虎門懸索橋?yàn)槔龑υ摲椒ǖ恼_性和適用性進(jìn)行驗(yàn)證,可供橋梁工程技術(shù)人員設(shè)計(jì)參考
This paper is the research on the local interactive buckling behavior of cold - formed rectangular tube under uniform compression . the paper includes the following main contents : ( 1 ) an elastic interactive buckling model is presented on the basis of the theory of elastic plates . under the equilibrium condition and deformation compatibility condition , analytical expressions are derived to predict the interactive bucking load pcr 本文主要研究冷彎薄壁矩形鋼管均勻受壓下板組的相關(guān)關(guān)系,包括以下主要內(nèi)容: ( 1 )建立了彈性相關(guān)屈曲解析法分析模型,考慮平衡條件及變形協(xié)調(diào)條件,建立板組的屈曲微分方程,得出了板組相關(guān)屈曲的臨界荷載p _ ( cr )的計(jì)算行列式。
Then i consider a correlative problem : where m , > 0 , s is a bounded domain with smooth boundary in ; v is outward normal vector on ; f ( s ) is continuous function and satisfies some increasing conditions ; u0 ( x ) is a positive function satisfying some compatibility conditions , to obtain the blow - up conditions of the positive solution using the method of subsolution and supersolution , extend the result of song and zheng )上的單位外法向; u _ 0 ( x )是正的函數(shù)且滿足一定的相容性條件:討論m 1的情況時,在何種條件下使得問題的正解整體存在或是在有限時刻爆破。主要采用上下解的方法來得到結(jié)論。隨后考慮相關(guān)問題:其中m , 0 ,為r ~ n ( n 1 )中的有界域,具有適當(dāng)光滑的邊界(