三(san)自由度齒(chi)輪轉(zhuan)子系統的(de)周期(qi)運動及其(qi)穩定性
研(yan)(yan)究了(le)含間隙(xi)三自由度(du)的(de)(de)齒輪(lun)轉子非(fei)線性(xing)(xing)系統(tong)(tong)(tong)的(de)(de)周(zhou)(zhou)期(qi)軌(gui)道及其穩定(ding)(ding)(ding)性(xing)(xing)。采(cai)用有(you)(you)限差(cha)分(fen)法近似替非(fei)光滑(hua)系統(tong)(tong)(tong)的(de)(de)Jacobi矩陣,改(gai)善了(le)CPNF法在求解非(fei)線性(xing)(xing)動(dong)力學時需要系統(tong)(tong)(tong)必須光滑(hua)的(de)(de)缺陷。改(gai)進后的(de)(de)CPNF發(fa)(fa)(fa)對算(suan)例的(de)(de)計算(suan)結果與數值積分(fen)結果比較驗證其有(you)(you)效性(xing)(xing)。在給定(ding)(ding)(ding)參數下采(cai)用改(gai)進后的(de)(de)CPNF發(fa)(fa)(fa)研(yan)(yan)究了(le)齒輪(lun)轉子系統(tong)(tong)(tong)的(de)(de)共存的(de)(de)周(zhou)(zhou)期(qi)運動(dong),并判斷了(le)各周(zhou)(zhou)期(qi)的(de)(de)穩定(ding)(ding)(ding)性(xing)(xing);通過延續追蹤發(fa)(fa)(fa)判斷了(le)不同轉速下系統(tong)(tong)(tong)周(zhou)(zhou)期(qi)軌(gui)道的(de)(de)穩定(ding)(ding)(ding)性(xing)(xing);研(yan)(yan)究了(le)齒輪(lun)轉子系統(tong)(tong)(tong)隨無量綱(gang)轉速變(bian)化的(de)(de)分(fen)岔特(te)性(xing)(xing)。結果發(fa)(fa)(fa)現,齒輪(lun)轉子非(fei)線性(xing)(xing)系統(tong)(tong)(tong)在某些參數組合下多個穩定(ding)(ding)(ding)和不穩定(ding)(ding)(ding)周(zhou)(zhou)期(qi)軌(gui)道共存;轉......
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02-14 14:20
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