【正文】
attention was given to the modification of their model, to catch the fact that the arc length of pads is less than the circumference of the disc, and to the development of temperature perturbation amplitude in the early stage of breaking, when pads are in the full contact with the disc. A way is proposed how to take into account both of the initial nonflatness of the disc friction surface and change of the perturbation shape inside the disc in the course of braking. Keywords: Thermo elastic instability。 y2) be fixed to the disc with y2=0 for the points of the midplane. We suppose the perturbation to have a relative velocity ci with respect to the layer i, and the coordinate system ( x。 在李和鮑勃描述的摩擦 熱彈性 不穩(wěn)定性 發(fā)展的分析模型 已經(jīng)擴(kuò)大了在 現(xiàn)今 的工作 [摩擦熱彈性不穩(wěn)定興奮 國(guó)立交大 摩擦學(xué) 1993。 我們將探討在何種條件下的溫度和應(yīng)力場(chǎng)空間正弦擾動(dòng)增長(zhǎng)能夠呈現(xiàn)冪級(jí)數(shù)增長(zhǎng)通過以類比的方式來套用李先生和鮑伯的研究。 y = y2 =y3 =y1 + a2 + a3. 在閘內(nèi)我們將搜索均勻的溫度場(chǎng)激發(fā)。 3,在中間平面對(duì)稱的條件是: 在摩擦片的外表面零件的擾動(dòng)為 0的條件是 相反,如果通過外表面指明了零熱通量,在現(xiàn)有襯墊的情形下,我們可以得到幾乎相同的數(shù)值解。 。 但是,這種簡(jiǎn)化是獲接納為高產(chǎn)中央層 3 實(shí)際上并不會(huì)對(duì)與完全不同的光盤抗彎剛度的影響側(cè)壁 (圖層 2)。在上述公式的符號(hào) Tom和 Pom表示非均勻性振幅 (例如波 動(dòng) ),圖中 2,和 3描述溫度的實(shí)際擾動(dòng)和壓力區(qū)域?qū)⒈划?dāng)作復(fù)雜功能被搜索。這種關(guān)于制動(dòng)盤中平面對(duì)成的擾動(dòng)可以在滑動(dòng)速度之上繼續(xù)增長(zhǎng),因此研究這個(gè)是沒有意義。 在他們模型修改中值得注意的是 , 有 這 樣一個(gè)事實(shí): 摩擦 盤 襯 墊弧長(zhǎng)比光盤的圓周少,當(dāng) 摩擦襯 墊 與光盤充分接觸 時(shí),可以在制動(dòng)盤破壞早期開發(fā)溫度擾動(dòng)振幅 。 c2 = c3。Frictionally excited thermoelastic instability in disc brakes— Transient problem in the full contact regime Abstract Exceeding the critical sliding velocity in disc brakes can cause unwanted forming of hot spots, nonuniform distribution of contact pressure, vibration, and also, in many cases, permanent damage of the disc. Consequently, in the last decade, a great deal of consideration has been given to modeling methods of thermo elastic instability (TEI), which leads to these effects. Models based on the finite element method are also being developed in addition to the analytical approach. The analytical model of TEI development described in the paper by Lee and Barber [Frictionally excited thermo elastic instability in automotive disk brakes. ASME Journal of Tribology 1993。 y) to move together with the perturbated field. Then we can write V = c1 c2。 115:60714]。在摩擦激發(fā)的熱彈性穩(wěn)定性 研究工作表明只處理不對(duì)稱問題是足夠的。 與接觸壓力的形式擾動(dòng), ,在公式里面, t代表時(shí)間, b代表增長(zhǎng)率,定義 i指模型的層數(shù), j=1的開根號(hào)是虛數(shù)單元, 參數(shù) m=m( n)=2pin/cir =2pi/L, n代表制動(dòng)盤圓周上熱點(diǎn)區(qū)域的個(gè)數(shù), L代表擾動(dòng)波長(zhǎng)。 如果我們?cè)谶m合下式的形式下,記錄單層的溫度發(fā)展范圍: 我們可以得到 這些參數(shù) 和 為了簡(jiǎn)單起見, 讓我們考慮,帶肋要各向同性環(huán)境與光盤的一部分實(shí)際上,雖然,糾正彈性模量,剛度 x 不同于此層的方向中方 向