22MiL2llT2式中fi?(i?Lili?i?i?1)?iLi(Li?li)2 (6.29)
EIyi23663EIyi22M1L1l12l2T2f1?(?L1l1??)?1L1(L1?l1)2EIy123663EIy12340021101.46?108108352?(??10835?3400??)? 2.05?105?3.33?10823668121.49?10835?(10835?3400)2583?2.05?10?3.33?10?99.19mm2l32M2L2l2T22f2?(?L2l2??)?2L2(L2?l2)2EIy223663EIy2221102213527.48?107108352?(??10835?2110??)? 582.05?10?2.15?1023668121.492?10835?(10835?2110)3?2.05?105?2.15?108?121.4mm22
MiTiL2li2li2222i?i?1?(Li?li?li?1)?(?lili?1???1) (6.30)
EIyi33EIyi236622M1T1L1l12l2222?2?(L1?l1?l2)?(?l1l2??)EIy133EIy123661.46?10822?(10835??3400??2110)?58 2.05?10?3.33?10332108358121.4923400221102(??3400?2110??)582.05?10?3.33?102366?0.0218rad 因此，
fwz?f1?f2??2H2?99.19?124.4?137.93?0.0218?17525?0.0238?8780 ?953.91mm②旋转平面
21
L1=3740l2=1000H2=3260L2=4260
图6-4 旋转平面臂架计算简图
各节臂端的侧向载荷
Mi?Mlz?TyHi?1 (6.31)
M1?Mlz?TyH2?0?1541?17525?2.7?107N?mm M2?Mlz?0N?mm
Ti?Ty T1?T2?1541N
臂端挠度fwy??fi???i?1Hi?1 (6.32)
i?1i?132MiL2li2li2T2i式中fi?(?Lili???1)?iLi(Li?li)2 (6.33)
EIzi23663EIzi22M1L1l12l2T2f1?(?L1l1??)?1L1(L1?l1)2EIz123663EIz12211022.7?10710835?(?)?2.05?105?1.74?108261541?10835?(10835)2583?2.05?10?1.74?10?62.02mm
22lM2L2lT23f2?(2?L2l2?2?)?2L2(L2?l2)2EIz223663EIz2221102213521.35?107108352?(??10835?2110??)? 2.05?105?1.11?10823661541?10835?(10835?2110)2583?2.05?10?1.11?10?44.35mm 22
MiTiL2li2li2222i?i?1?(Li?li?li?1)?(?lili?1???1) (6.34)
EIzi33EIzi2366?MEI(L2?23lT222211L1l1l22?1?l12)?EI(?l1l2?6?6)z13z123?2.7?1072.05?105?1.74?108(10835?23?2110)?
1541108352211022.05?105?1.74?108(2?6)?0.0078rad因此，
fwy?f1?f23??2H2?62.02?44.35?41.98?0.01?17525?0.01?8780 ?359.45mm2）轴向力和横向载荷引起的臂端挠度及其刚度校核 变幅平面：
k?1f1z?(fHi?1wz??z1?N?i?1l)i?10.9Ncry?1 1?10777.59[953.81?3(175252110?87802135)]?1056.02mm0.9?1.95?105[f]?L2281000?.3621000?0.80429m?804.29mm
fz?[f]
f1k?1y?(fHi?1wy??y1?N?i?1l)i?10.9Ncrz
?1[359.45?2(17525?8780)]?444.441?10777.5921102135mm0.9?8.85?1040.7L2[f]?1000?0.563m?563m
fz?[f]
23
(6.35)
可认为该工况下臂架的刚度满足要求。 （5）.臂架整体稳定性校核
进行臂架的稳定性校核时，按双向受压杆计算，公式中的?,?,Coz,Coy,Cmy均取为1。 取臂架根部最大应力计算：
foz??z?i?122Hi?1HH175258780??z(2?3)?3(?)?37.25mm li?1l2l321102135Hi?1HH175258780??y(2?3)?2(?)?24.84mm (6.36) li?1l2l321102015
foy??y?i?1Moz?Nfoy?Mlz?15253.94?24.84?0?3.79?105N?mmMoy?Nfoz?Mly?15253.94?37.25?3465280?7.22?10N?mmMHz?Ty?HA?1541?23940?3.66?107N?mmMHy?Tz?HA?11494.67?23940?2.73?10N?mm86 (6.37)
??Moy?MHyM?MHzN11?[]oz?[]NA1?NWzWy1?0.9Ncrz0.9Ncry13.79?105?3.66?107]? 515253.946.71?1040.9?8.85?1017.22?106?2.73?108[]?231.26MPa?[?]615253.941.9?101?0.9?1.95?10515253.94??[89411?所以臂架的整体稳定性符合要求。
6.2.2 臂架全伸，仰角0度时刚度、强度、稳定性计算
（该工况下计算步骤和方法同臂架全伸，仰角62度的工况，故不再详细的列出计算过程，仅给出计算结果）
表6-4 计算载荷
垂直载荷Q(N) 变幅平面 由Q引起的轴向力N(N) 由Q引起的横向力Tz(N) 臂头力矩Mly(N·mm) 强度计算载荷 45110.3 21178 39830 41782085 刚度计算载荷 26575.3 12476.4 23464.6 22195125 24
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