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《》200912。360m350m。46km13km[1]。、、。。。200m/s[1][2]。。[3]。[4]。Matlab[5]。1。0-xy1xm坠2x坠t2=-b坠x坠t1ym坠2y坠t2=-b坠y坠t-mg2m———kgρw———kg/m3xy———tt———sb———kg/sg———9.80m/s21、2xt=0=0、vx=t=0=v0xyt=0=h、vy=t=0=v0yvxvy———tx、ym/sv0xv0y———x、ym/sh———m。12。x=mbv0x(1-e-btm)3y=h+(m2gb2+mv0yb)(1-e-btm)-mgbt44T。e-btmT=t2t210~30m/sT2st2=21221.2000722.200032Scilab。O311A1672-545X200912-0015-032009-09-051961—,,、、《》(1973—)、。xyRmvmgnθθ115EquipmentManufactringTechnologyNo.12，2009e-btm=et2-bmT-t2+(bm)2(T-t2)2254f=(m2gb2+mv0zb)e-bt2mfb22m2T2+(mgb-fbm-fb2m2t2)T+(f-h-fe-bt2m+bmft2+fb22m2t22)=06T10-4。[3]。T3。2。0-xy1xm坠2x坠t2=-k(坠x坠t)27ym坠2y坠t2=-k(坠y坠t)2-mg(坠y坠t)≥08.1m坠2y坠t2=k(坠y坠t)2-mg(坠y坠t)≤08.2k———kg/m。7、8k1、2。7、81、2。yy。8.1[6]。[1]。vx=坠x坠t1m坠vx坠t=-kvx299vx｜t=0=v0xvx=mv0xm+kv0xt10x｜t=0=0x=mkln(kv0xtm+1)11vy=坠y坠t8.1m坠vy坠t=-kvy2-mg12vy｜t=0=v0yvy=mgk姨tanarctan(kmg姨v0y)-tgkm姨姨姨13vy=坠y坠ty｜t=0=hy=h-mklncosarctan(kmg姨v0y姨姨)cosarctan(kmg姨v0y)-tgkm姨t姨141413vy=0ymaxt=t1=mgk姨arctan(kmg姨v0y)15ymax=h-mklncosarctan(kmg姨v0y姨姨)tt16t11414tt∈0t1t姨。vy=坠y坠t8.2vy｜t=t1=0vy=mgk姨(1-ekgm姨(t-t1))(1+ekgm姨(t-t1))1717a=ekgm姨(t-t1)a018vy=坠y坠t1817坠y坠t=坠y坠adadt=坠y坠a·akgm姨=mgk姨(1-a)1+a19y｜t=t1=ymaxa｜t=t1=119y=ymax+mkln4ekgm姨(t-t1)1+ekgm姨(t-t1)t姨tttttttttttttttttt201720tt∈t1t姨∞。y=020TT=t1+mkg姨ln(2-e-kmymax+21-e-kmymax姨e-kmymax)21T11。21m/kymax。334172016《》200912b/mk/m。b/mk/mbv0/mgkv02/mg。v0=30m/sm=1kgh=1m。Scilab。3.1b/mk/mb/m=k/m=0.1θ30°62134、17202。2b/mk/mbk3.21.8。。3.2bv0/mgkv02/mgbv0/mg=kv02/mg=1.0θ60°3。3bv0/mgkv02/mg1.61.1。bv0/mgkv02/mgb=kv02。4。。。[1].Matlab[J].2007645-47.[2].[J].200113188-89.[3].[J].2008271221-22.[4].[J].2006,20334-37.[5].[J].2006232112-114.[6].[J].532-34.xy121086420-2010203040506070┅△┅┅x┅2b/mk/m0102030405060┅△┅┅x┅302520151050-5xy3bv0/mgkv0/mgProjectileTrackunderTwokindsofAirResistanceModelsMINYong-lin1,2CHENChi2(1.CollegeofMechanicalEngineering,ShanghaiUniversity,Shanghai200072,China;2.ShanghaiFireResearchInstituteofMPS,Shanghai200032,China)Abstract:Airfrictionposesanotableeffectonthemotionofprojectiles.Inlowspeedcircumstances,thereareordinarilytwokindsofairfrictionresistancemodels.Inonemodel,theairresistanceisproportionaltothevelocityofprojectiles,whileintheother,itisproportionaltothesquareofthevelocity.Theanalyticgoverningmotionequationsoftheprojectilesunderthetwomodelswerededuced.BytheaidofScilabsoftware,thetwomodelswerecomparedundersomeconditions.Thetwoequationswillcertainlybehelpfultotheengineeringapplication.Keywords:Projectile,airresistance,track,model17