本文選題：銑削穩(wěn)定性 + Floquet理論�。� 參考：《組合機(jī)床與自動化加工技術(shù)》2017年12期

【摘要】：基于控制離散步長來保證預(yù)測精度的思想,提出了一種改進(jìn)的用于預(yù)測銑削穩(wěn)定性葉瓣圖的時域全離散法。一直以來,銑削工藝系統(tǒng)的動力學(xué)過程被看作帶有單個延時反饋量的周期性線性系統(tǒng),其數(shù)學(xué)模型是無限維時滯微分方程組。全離散法在一個周期內(nèi)將時滯微分方程離散為有限個常微分方程,求解前后兩步的狀態(tài)轉(zhuǎn)移矩陣,繼而得到一個完整周期內(nèi)的狀態(tài)轉(zhuǎn)移矩陣。在選定的轉(zhuǎn)速范圍內(nèi)循環(huán)求解過程中,通過控制離散步長小于設(shè)定值來達(dá)到提高低轉(zhuǎn)速條件下全離散法的收斂率的目的。通過仿真和切削實(shí)驗,證明方法具有較高的預(yù)測精度和計算效率。
[Abstract]:Based on the idea of controlling discrete step size to ensure prediction accuracy, an improved time domain full discrete method is proposed to predict the stability of milling vanes. All along, the dynamic process of milling process system is regarded as a periodic linear system with a single time-delay feedback, and its mathematical model is an infinite dimensional delay differential equation system. The full discrete method discretizes the delay differential equation into finite ordinary differential equations in a period, solves the state transfer matrix of two steps before and after, and then obtains the state transfer matrix in a complete period. In order to improve the convergence rate of the full discrete method under the condition of low rotational speed, the discrete step size is smaller than the set value in the process of cycle solution in the selected rotational speed range. Through simulation and cutting experiments, it is proved that the method has high prediction accuracy and calculation efficiency.
【作者單位】： 清華大學(xué)機(jī)械工程系;精密超精密制造裝備及控制北京市重點(diǎn)實(shí)驗室;海軍航空工程學(xué)院飛行器工程系;
【基金】：國家04科技重大專項課題(2013ZX04001-021)
【分類號】：TG54

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