Prediction of Vertical Spindle Force due to Loaded and Rolling Tire
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1 THE SCENCE AND ENGNEERNG REVEW OF DOSHSHA UNVERSTY, VOL. 54, No. JULY 03 Preictio of Vertical Spile Force ue to Loae a Rollig Tire Masami MATSUBARA *, Takayuki KOZUM *,NobutakaTSUJUCH * (Receive April 6, 03) t is importat to preict the iterior oise of a passeger car for evaluatio of performace of NVH. There are may sou sources icluig egie, power trai, a tire i the passeger car. particular, the yamic force trasmissio of rollig tires from the roa surface to the spile is a critical factor i iterior oise of the passeger car. We focus o structure-bore oise trasferre through the spile. t is ecessary for effort of the effective tire/roa oise reuctio to preict spile force excite by tire/roa cotact. The importat issues for preictig spile forces are tire moel a how to iput o the moel because tire vibratio characteristic chage geerate by rollig a cotact. this paper, we suggest the simple preictio of vertical spile force that affect the iterior oise clearly. First, we measures the spile force geerate by a projectio a multiple projectios. A we check the liearity of spile force. t is fou that we ca preict the spile force geerate by optioal projectios base o the spile force excite by a basic projectio. Seco, base that first moe of tire o t chage geerate by rollig, oe egree moel of a rollig tire is built up. Roa force is ietifie from spile force usig this tire moel. Fially, a estimatio metho of spile force for ay tire-rollig spee a height of cleat is propose base o the ietifie roa force. : tire, vertical spile force, estimatio of roa iput, roa oise : 300Hz ) ) 3) Ph. D. stuet, Departmet of mechaical egieerig, Doshisha Uiversity, Kyoto Telephoe: , Fax: , etl303@mail4.oshisha.ac.jp Departmet of mechaical egieerig, Doshisha Uiversity, Kyoto Telephoe: , tkoizumi@mail.oshisha.ac.jp, tsujiuchi@mail.oshisha.ac.jp ( 4 )
2 43 4) Fig. 0 mm.5mm 3.0mm4.5mm6.0mm Fig.. Test tire. Fig. 3. Test setup. Fig.. Characterizatio of roa. Fig. 95/65/R5 Fig. 3 Fig N 30kPa Fig. 4(a) 30km/h.5mm Fig. 4(b) 30, 50km/h Peak to Peak 5) Fig. 4(b) 80Hz ( 43 )
3 44 50 mm Fig. 6-8 Fig. 4(a). Vertical spile force ue to cylirical cleat. Fig. 4(b). Power spectrum esity of spile force. Fig. 5(a). Vertical spile force at height of cleat (30km/h). 30km/h.5mm 3.0mm4.5mm6.0mm Fig. 5(a) Fig. 5(b) Peak to Peak Fig. 5(b). Vertical spile force at height of cleat (30km/h)..5mm Fig. 6 Fig. 7 Fig. 8 Fig. 6. Spile force ue to shouler a ceter cleats. ( 44 )
4 45 Fig. 7. Spile force ue to shouler, meiate a ceter cleats. Fig. 9. Frequecy respose fuctio a mai vibratio shape. Fig. 8. Spile force ue to ceter cleats. Fig ) Fig. 0 m c k z m c t f spile z k t z f t () z c k z () t ( 45 )
5 46 f spile c t e t m t t t sit k t e m t t e si t t e si t t si t (3) t (3) 30 km/h Fig. 0. tire moel for preictio of vertical spile force. iput,,, (4) f f, Error (5) spile estimatio,, Moe frotier 30 km/h.5 mm Fig. Fig. (a) Fig. (b) 7) Fig. (a). etificatio of roa force ue to.5 mm cleat at rollig spee 30 km/h. Fig. (b). Compariso of spile force betwee estimatio a experimet. V iput t ( 46 )
6 47 t t t t (6) iput V t t t (7) V tv tv t t (8) V 30 km/h.5 mm 50 km/h Fig. (a) Fig. (b) Fig. (a). Estimatio of roa force ue to.5 mm cleat at rollig spee 50 km/h. 3/ 8) h, 3, Ch (9) h, (9)(0) 3, Ch (0) Fig. (b). Compariso of spile force betwee estimatio a experimet. Fig. 3(a). Estimatio of roa force ue to 3.0 mm cleat at rollig spee 30 km/h.,, 3 3 C h h 3,, Ch h () () ( 47 )
7 48 Fig. 3(b). Compariso of spile force betwee estimatio a experimet. 30 km/h.5 mm 3.0 mm Fig. 3(a) Fig. 3(b) ) 66(5)45-50(00) ) No (988) 3) No.8-0-4(00) 4).. 3. No (000) 5) M. MatsubaraT. KoizumiN. TsujiuchiF. Nakamura K. Matsuyamaetificatio of Tire Equivalet Stiffess for Preictio of Vertical Spile ForceAPAC-6 Paper No (0) 6) C 77 (777)08-09(0) 7) 3 No.3-07 (007) 8) No (004) ( 48 )
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