有限差分法模擬電梯懸掛系統(tǒng)橫向受迫振動(dòng)
發(fā)布時(shí)間:2019-02-26 09:32
【摘要】:電動(dòng)機(jī)偏心旋轉(zhuǎn)、導(dǎo)軌不規(guī)則和高層建筑的搖晃對高速運(yùn)行的電梯產(chǎn)生位移激勵(lì),這種激勵(lì)是引起電梯懸掛系統(tǒng)橫向振動(dòng)的重要因素。基于廣義的Hamilton原理,建立了電梯懸掛系統(tǒng)變長度曳引繩受迫振動(dòng)控制方程,在耦合項(xiàng)中忽略縱向項(xiàng),得到任意變長度曳引繩的橫向振動(dòng)方程。提出了一個(gè)改進(jìn)的有限差分方法,基于離散的控制方程建立了變系數(shù)的常微分方程組。以典型曳引電梯懸掛系統(tǒng)為例,仿真得到電梯運(yùn)行中變長度曳引繩的橫向振動(dòng)位移響應(yīng)和能量變化,并與Galerkin方法得到的結(jié)果進(jìn)行了對比,兩者基本吻合。最后定量分析了轎廂彈簧剛度對最大繩索位移和振動(dòng)能量的影響。
[Abstract]:The eccentricity of the motor, the irregularity of the guideway and the shaking of the high-rise building cause the displacement excitation of the high-speed elevator, which is an important factor to cause the lateral vibration of the elevator suspension system. Based on the generalized Hamilton principle, the forced vibration control equation of variable length traction rope for elevator suspension system is established. The longitudinal term is ignored in the coupling term, and the lateral vibration equation of arbitrary variable length traction rope is obtained. An improved finite difference method is proposed. Based on the discrete governing equations, the ordinary differential equations with variable coefficients are established. Taking the typical towing elevator suspension system as an example, the lateral vibration displacement response and energy variation of the traction rope with variable length in elevator operation are simulated and compared with the results obtained by Galerkin method. The results are basically in agreement with the results obtained by the Galerkin method. Finally, the influence of spring stiffness on the maximum rope displacement and vibration energy is analyzed quantitatively.
【作者單位】: 同濟(jì)大學(xué)結(jié)構(gòu)與防災(zāi)研究所;
【基金】:國家自然科學(xué)基金資助項(xiàng)目(90815029) 科技部國家重點(diǎn)實(shí)驗(yàn)室基金資助項(xiàng)目(SLDRCE10-B-07)
【分類號】:TU857
[Abstract]:The eccentricity of the motor, the irregularity of the guideway and the shaking of the high-rise building cause the displacement excitation of the high-speed elevator, which is an important factor to cause the lateral vibration of the elevator suspension system. Based on the generalized Hamilton principle, the forced vibration control equation of variable length traction rope for elevator suspension system is established. The longitudinal term is ignored in the coupling term, and the lateral vibration equation of arbitrary variable length traction rope is obtained. An improved finite difference method is proposed. Based on the discrete governing equations, the ordinary differential equations with variable coefficients are established. Taking the typical towing elevator suspension system as an example, the lateral vibration displacement response and energy variation of the traction rope with variable length in elevator operation are simulated and compared with the results obtained by Galerkin method. The results are basically in agreement with the results obtained by the Galerkin method. Finally, the influence of spring stiffness on the maximum rope displacement and vibration energy is analyzed quantitatively.
【作者單位】: 同濟(jì)大學(xué)結(jié)構(gòu)與防災(zāi)研究所;
【基金】:國家自然科學(xué)基金資助項(xiàng)目(90815029) 科技部國家重點(diǎn)實(shí)驗(yàn)室基金資助項(xiàng)目(SLDRCE10-B-07)
【分類號】:TU857
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