擺線輪齒與針輪針齒間的嚙合力分析方法傳遞負載時擺線輪與針輪的部分齒對經消隙運動而同時嚙合傳力的過程可以描述為:在載荷作用下,通過初始相對轉動便處于某位置的齒對先消除初始法向間隙而進入嚙合傳力狀態,而該齒對產生的彈性變形又使擺線輪繼續相對于針輪轉動,從而便某些齒對消隙并進入嚙合傳力狀態,直至達到靜力平衡狀態。
行星減速機設(she)齒(chi)對間(jian)的(de)(de)嚙合力F與齒(chi)對的(de)(de)彈性變(bian)形(xing)(xing)量(liang)成正比,而(er)齒(chi)對的(de)(de)彈性變(bian)形(xing)(xing)量(liang)為(wei)齒(chi)對在接觸(chu)(chu)點的(de)(de)接觸(chu)(chu)變(bian)形(xing)(xing)w與針齒(chi)的(de)(de)彎曲變(bian)形(xing)(xing)f之和(he)。
由文(wen)(wen)獻<2>知f=kL3EJF=f1F(6) 由文(wen)(wen)獻<4>知w=4(1-v2)EB(12-ln1.522FREB)F當針(zhen)(zhen)齒(chi)(chi)采(cai)用二(er)支點(dian)或三(san)支點(dian)支承形(xing)式(shi)(shi)(shi)時(shi),其彎曲剛(gang)度遠比齒(chi)(chi)對的(de)(de)接觸剛(gang)度小,即針(zhen)(zhen)齒(chi)(chi)的(de)(de)彈(dan)性彎曲變形(xing)為(wei)(wei)(wei)齒(chi)(chi)對的(de)(de)彈(dan)性變形(xing)的(de)(de)主要部(bu)分(fen)(fen),此時(shi)可按下述線性公(gong)式(shi)(shi)(shi)近似(si)計(ji)算接觸變形(xing)量(liang)w=4(1-v2)EB(12-ln1.522F0REB)F=f2F(7)這樣=(f1+f2)F(8)式(shi)(shi)(shi)(6)~式(shi)(shi)(shi)(8)中k為(wei)(wei)(wei)針(zhen)(zhen)齒(chi)(chi)支承形(xing)式(shi)(shi)(shi)系數;L為(wei)(wei)(wei)針(zhen)(zhen)齒(chi)(chi)支承間跨距;J為(wei)(wei)(wei)針(zhen)(zhen)齒(chi)(chi)銷(xiao)抗(kang)彎截面模(mo)量(liang);B為(wei)(wei)(wei)擺線輪(lun)有(you)效寬度;R為(wei)(wei)(wei)接觸點(dian)處兩齒(chi)(chi)廓的(de)(de)綜(zong)合曲率(lv)半(ban)徑;v、E分(fen)(fen)別(bie)為(wei)(wei)(wei)擺線輪(lun)及針(zhen)(zhen)齒(chi)(chi)材料的(de)(de)泊松系數和綜(zong)合彈(dan)性模(mo)量(liang);F0為(wei)(wei)(wei)齒(chi)(chi)對間的(de)(de)理論嚙合力,與齒(chi)(chi)形(xing)修正無關(guan),其計(ji)算方法。