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衝撃を受ける機械構造の ... - ms.t.kanazawa-u.ac.jp

1 1 1 m ( ) xst k kxmgst= ( ) g xd mdxdtkxmgdd22+= ( ) xmgkkmtxkmtdst=- FHGIKJLNMMOQPP=- FHGIKJLNMMOQPP11coscos ( ) ( ) ( ) Fs Fd Fmgs= ( )2 Fmgkmtd=- FHGIKJLNMMOQPP1cos ( ) ( ) m mg ( ) Fs =mg FFds,max=2 ( ) 2 ( ) 1)

1 衝撃を受ける機械構造の力学入門 機能機械工学科 強度設計研究室 立 矢 宏 1．はじめに 強度設計で用いる材料力学は，負荷が静的に作用するとして，すなわち，時間

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Transcription of 衝撃を受ける機械構造の ... - ms.t.kanazawa-u.ac.jp

1 1 1 1 m ( ) xst k kxmgst= ( ) g xd mdxdtkxmgdd22+= ( ) xmgkkmtxkmtdst=- FHGIKJLNMMOQPP=- FHGIKJLNMMOQPP11coscos ( ) ( ) ( ) Fs Fd Fmgs= ( )2 Fmgkmtd=- FHGIKJLNMMOQPP1cos ( ) ( ) m mg ( ) Fs =mg FFds,max=2 ( ) 2 ( ) 1) 2) 1 m 1 h 1 ( )

2 122kxmgkmgh-FHGIKJ= ( ) Fmax 3max/2/Fkmgkmghk =+ ( ) mg/k h Vgh=2 ( ) 1212222kxmgh=di ( ) FmgkhmkVmax= =2 ( ) ( ) h mg/k h 2 M H 3) JE=122e ( )E ( ) E k se=E ( ) ( ) JE=122s ( ) 2 4lAH 121222sEAlMgHMV ==bg ( ) VgH=2 A l 2 EEMgHMVAlAls= = ( ) F x FAElx= ( ) kAEl= ( ) ( ) ( ) 2 3(a) 3(b)

3 M 3(b) 5 s ssMgA=/ ( ) 3 (a) (b) 2 2 3(b)

4 4 4 A v t t 4 1 2 4 1`2` C 4 s6 v t C t C t C t v t e==vtCtvCDD ( ) 1`2` E se==EEvC ( ) v E C C t M1 C t A v DDMCtAv1= r ( ) M2 DDDMAtEvCAt2= = s ( ) ( ) ( ) C 4 1`212`vtDCtDvv7CE=/r ( ) ( ) ( )

5 X 1 1 3 3 1 5 1 2 1 2 1 2 ds 1 2 u AAdxutAdsrss+ =+22bg ( ) 2 ds ( ) 5 A sAdss+bgrAdxux 22128 = = 2222222utEuxCuxr ( ) C 6(a) C v 6(b) C v 4 (a) (b)

6 6 Cv Cvx9 (a) (b) 7 sI,vI()sR,vR()2sI,0()sI,vI()sR,vR()0,2vI () 7(a) sIIv,bg sRRv,bg sRRv,bg sLLv,bg sssLIRLIRvvv=+=+UVW ( ) sRRv,bg 7(a) vL ( ) vvRI=- ( ) R ssRI= ( )10 7(b) L ssRI=- ( )

7 VR vR vI vvRI= ( ) 1 ( C vC) VO vI VO vI vR vC VO VvvvVvvOIRCORC=++=++ ( ) vR -vI(= -VO) vVCO= ( ) ssCI= ( ) vR vI(= VO) vVCO=- ( ) ssCI=- ( ) L VO 8 9 8 VO sO 11(a) (b) 8 (a) (b) 9 t2LC4 LCt2LC4LC0L0L0L0L0L0L12 VOLMsOstbgCtOsOsO 10 11 4)

8 10 sO EVCOO/ VO sO 10 sO 11 4) Ot smax smax13 4) 11 smax A 121222 EALMVOe = ( ) == semaxEEMALVO ( ) smax smax 4) ar=MAL ( ) ( ) = = = srrasmaxEMALVCEMALVCEOOO ( ) ( )

9 SO smax smax ssaamaxmax +1 ( )14 4) ( ) 8(a) 9(a) v sD sS 8(a) sO VO 1mm/min sO sOOEVC= ( ) L 100mm 40 s 2sO n sO ssDOn 2 ( ) n n t d== VntVnLCOOD2 ( ) sS sdssSOODELEVCnn== = 122 ( ) sD sS VO 5m/s sO 206 MPa 15 5) 4) 3 5)

10 6)

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