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LINEAR SYSTEM<br />

1Calculating Moment Applied to the Unit<br />

〈acceleration〉<br />

pitching<br />

Ma1=m・g・Xm−m・a1・( Z m − Z d )<br />

Ma1=30×9.8×(15)−30×1×{(20)−(30)}+15×9.8×(80)−15×1×{(100)−(30)}=15431N・mm<br />

yawing<br />

Ma2=−m・a1・( Y m − Y d )<br />

Ma2=−30×1×{(−20)−(10)}−15×1×{(50)−(10)}=300N・mm<br />

rolling<br />

Ma3=m・g・Ym<br />

Ma3=30×9.8×(−20)+15×9.8×(50)=1471N・mm<br />

〈constant〉<br />

pitching<br />

M1=m・g・X m<br />

M1=30×9.8×(15)+15×9.8×(80)=16181N・mm<br />

yawing<br />

rolling<br />

M2=0<br />

M3=m・g・Ym<br />

M3=30×9.8×(−20)+15×9.8×(50)=1471N・mm<br />

〈deceleration〉<br />

pitching<br />

Md1=m・g・X m+m・a 3・( Z m − Z d )<br />

Md1=30×9.8×(15)+30×1×{(20)−(30)}+15×9.8×(80)+15×1×{(100)−(30)}=16931N・mm<br />

yawing<br />

Md2=m・a 3・( Y m − Y d )<br />

Md2=30×1×{(−20)−(10)}+15×1×{(50)−(10)}=−300N・mm<br />

rolling<br />

Md3=m・g・Ym<br />

Md3=30×9.8×(−20)+15×9.8×(50)=1471N・mm<br />

2Calculating Load Applied to the Guide Block<br />

〈acceleration〉<br />

Block 1<br />

vertical<br />

direction<br />

Block 2<br />

Fra1=<br />

Fra1=<br />

horizontal Ma2<br />

direction Fsa1=<br />

2・L unit<br />

300<br />

Fsa1= =1.5N<br />

2×100<br />

vertical<br />

direction<br />

Fra2=<br />

horizontal<br />

direction<br />

30×9.8<br />

4<br />

30×9.8<br />

4<br />

Fra2=<br />

300<br />

Fsa2=− =−1.5N<br />

2×100<br />

m・g<br />

4 − Ma1<br />

2・L unit + Ma3<br />

2・L rail<br />

+ 15×9.8 − 15431<br />

4 2×100 + 1471<br />

m・g<br />

4 + Ma1<br />

2・L unit + Ma3<br />

2・L rail<br />

+ 15×9.8 + 15431<br />

4 2×100 + 1471<br />

Ma2<br />

Fsa2=−<br />

2・L unit<br />

=40.5N<br />

2×100<br />

=194.8N<br />

2×100<br />

Block 3<br />

Block 4<br />

vertical<br />

direction<br />

Fra3=<br />

horizontal<br />

direction<br />

vertical<br />

direction<br />

Fra4=<br />

horizontal<br />

direction<br />

〈constant〉<br />

Block 1<br />

vertical<br />

direction<br />

Block 2<br />

Block 3<br />

Block 4<br />

Fra3=<br />

Fsa3=<br />

300<br />

Fsa3= =1.5N<br />

2×100<br />

Fra4=<br />

300<br />

Fsa4=− =−1.5N<br />

2×100<br />

Fr1=<br />

horizontal<br />

direction<br />

vertical<br />

direction<br />

Fr2=<br />

horizontal<br />

direction<br />

vertical<br />

direction<br />

Fr3=<br />

horizontal<br />

direction<br />

vertical<br />

direction<br />

Fr4=<br />

horizontal<br />

direction<br />

30×9.8<br />

4<br />

30×9.8<br />

4<br />

30×9.8<br />

4<br />

30×9.8<br />

4<br />

30×9.8<br />

4<br />

30×9.8<br />

4<br />

m・g<br />

4 − Ma1<br />

2・L unit − Ma3<br />

2・L rail<br />

Ma2<br />

2・L unit<br />

m・g<br />

4 + Ma1<br />

2・L unit − Ma3<br />

2・L rail<br />

Ma2<br />

Fsa4= −<br />

2・L unit<br />

Fr1=<br />

Fs1=<br />

Fr2=<br />

Fs2= −<br />

Fr3=<br />

Fs3=<br />

Fr4=<br />

+ 15×9.8 − 15431<br />

4 2×100 − 1471<br />

+ 15×9.8 + 15431<br />

4 2×100 − 1471<br />

Fs4= −<br />

m・g<br />

4 − Md1<br />

2・L unit + Md3<br />

2・L rail<br />

+ 15×9.8 − 16181<br />

4 2×100 + 1471<br />

M2<br />

2・L unit<br />

m・g<br />

4 + M1<br />

2・L unit + M3<br />

2・L rail<br />

+ 15×9.8 + 16181<br />

4 2×100 + 1471<br />

M2<br />

2・L unit<br />

m・g<br />

4 − M1<br />

2・L unit − M3<br />

2・L rail<br />

+ 15×9.8 − 16181<br />

4 2×100 − 1471<br />

M2<br />

2・L unit<br />

m・g<br />

4 + M1<br />

2・L unit − M3<br />

2・L rail<br />

+ 15×9.8 + 16181<br />

4 2×100 − 1471<br />

M2<br />

2・L unit<br />

=25.8N<br />

2×100<br />

=180.1N<br />

2×100<br />

=36.8N<br />

2×100<br />

=198.6N<br />

2×100<br />

=22.1N<br />

2×100<br />

=183.9N<br />

2×100<br />

Eng-19<br />

Eng-20

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