Challenge

Vehicle Ride 2

1.

Total weight= 1900Kg

Total mass front= 0.55*1900=1045Kg

unsprung mass front=90Kg

Sprung mass front=1045-90 =955Kg

Total mass rear= 0.45*1900=855Kg

Unsprung mass rear=60Kg

Sprung mass rear=855-60=795Kg

Sprung mass critical damping

Front

c=2*sqrt(Kr*ms)

Kr=Ks*Kt/(Ks+Kt)

=20*250/(20+250)

=18.51N/mm

c=2*sqrt(18.51*955)

=265.91N-s/m

Rear

c=2*sqrt(Kr*ms)

Kr=Ks*Kt/(Ks+Kt)

=30*250/(30+250)

=26.79N/mm

c=2*sqrt(26.79*795)

=291.87N-s/m

Unsprung mass critical damping

Front

c=2*sqrt(Ke*mus)

Ke=Ks+Kt

=20+250

=270N/mm

c=2*sqrt(270*90)

=311.76N-s/m

Rear

c=2*sqrt(Ke*mus)

Ke=Ks+Kt

=30+250

=280N/mm

c=2*sqrt(280*60)

=259.23N-s/m

Sprung mass initial damping coefficient

Front

Damping ratio=0.7

Front sprung mass initial damping coefficient=damping ratio*front sprung mass critical damping

=0.7*265.91

=186.14N-s/m

Rear

Damping ratio=0.7

Rear sprung mass initial damping coefficient=damping ratio*rear sprung mass critical damping

=0.7*291.87

=204.31N-s/m

Unsprung mass initial damping coefficient

Damping ratio=0.2

Front unsprung mass initial damping coefficient=damping ratio*front unsprung mass critical damping

=0.2*311.76

=62.352N-s/m

Rear

Damping ratio=0.2

Rear unsprung mass initial damping coefficient=damping ratio*rear unsprung mass critical damping

=0.2*259.23

=51.85N-s/m

Compression damping coefficient

Front

Sprung mass=I/2=265.91/2=132.96N-s/m

Unsprung mass=I/2=311.76/2=155.88N-s/m

Rear

Sprung mass=I/2=291.87/2=145.94N-s/m

Unsprung mass=I/2=259.23/2=129.62N-s/m

Rebound Damping coefficient

Front

Sprung mass=3*132.96=398.88N-s/m

Unsprung mass=3*155.88=467.64N-s/m

Rear

Sprung mass=3*145.94=437.82N-s/m

Unsprung mass=3*129.62=388.86N-s/m

Low speed compression damping rate

Front

DR=critical damping coefficient*damping ratio

=265.91*0.7

=186.137N-s/m

Low-speed compression damping force

CF=DR*Knee speed

=186.137*50

=9,306.85N

Rear

DR=critical damping coefficient*damping ratio

=291.87*0.7

=204.31N-s/m

Low-speed compression damping force

CF=DR*Knee speed

=204.31*50

=10,215.5N

High-speed compression damping rate

Front

DR=critical damping coefficient*damping ratio

=311.76*0.2

=62.352N-s/m

High-speed compression damping force

CF=DR*max speed

=62.352*500

=31,176N

Rear

DR=critical damping coefficient*damping ratio

=259.23*0.2

=51.85N-s/m

High-speed compression damping force

CF=DR*Knee speed

=51.85*500

=25,925N

Low speed rebound damping rate

Front

DR=low compression damping rate *R/C

=3*186.137

=558.4N-s/m

Low-speed rebound damping force

RF=3*9,306.85

=27,920.55N

Rear

DR=low compression damping rate *R/C

=3*204.31

=612.93N-s/m

Low-speed rebound damping force

RF=3*10,215.5

=30,646.5N

High speed rebound damping rate

Front

DR=High compression damping rate *R/C

=3*62.352

=187.056N-s/m

High-speed rebound damping force

RF=3*31,176

=93,528N

Rear

DR=low compression damping rate *R/C

=3*51.85

=155.55N-s/m

High-speed rebound damping force

RF=3*25,925

=77,775N

2.

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