(1.長沙交通學(xué)院 機(jī)電工程系，長沙 410076；
2.中南大學(xué) 機(jī)電工程學(xué)院， 長沙 410083)
摘 要: 提出了一種復(fù)雜軸系扭振動(dòng)力學(xué)建模的網(wǎng)絡(luò)法，該方法將軸系各支路特性及節(jié)點(diǎn)和終端邊界條件用規(guī)范的矩陣形式表示，通過簡單的矩陣運(yùn)算將網(wǎng)絡(luò)各支路與邊界條件耦合起來，并可求得剩余扭矩函數(shù)。針對(duì)剩余扭矩方程求解中出現(xiàn)的“增根”問題，提出了一種簡便的技術(shù)途徑。算例證明了該方法的實(shí)用性和準(zhǔn)確性。
關(guān)鍵字: 傳動(dòng)系統(tǒng)；扭轉(zhuǎn)振動(dòng)；傳遞矩陣；網(wǎng)絡(luò)
of complex shafting torsional
vibration system
（1.Department of Mechanical and Electrical Engineering，
Changsha Communications University，Changsha 410076，China；
2.College of Mechanical and Electrical Engineering，
Central South University，Changsha 410083，China）
Abstract:A network method for modeling of complex shafting torsional vibration system was established. The method deals with the characteristics of network an d boundary conditions in matrix form. By simple operation of matrices， all branches and boundary conditions are coupled，and the nonlinear torsional function c an be obtained. The natural frequencies can be calculated by solution of the equation. In order to avoid the “Augment of Root” of nonlinear equation， a simple technical method was proposed. It is proved that the methods proposed are practical and accurate.
Key words: transmission system; torsional vibration; transfer matrix; network
