Vehicle Ride 2

Excel-Link:

https://docs.google.com/spreadsheets/d/1HvEQtJrX6Zc6Bvh7Sa-PhhGF6lvzDrBNmrwj7D4IQLs/edit?usp=sharing

All calculations are done in excel.

1.Calculate the following parameters for the front and rear suspension:

i.Sprung mass critical damping

ii.Unsprung mass critical damping

iii.Sprung mass initial damping coefficient

iv.Unsprung mass initial damping coefficient

v.Low speed compression damping coefficient

vi.High speed compression damping coefficient

vii.Low speed rebound damping coefficient

	FRONT	REAR
Sprung Mass
Critical Damping,	5781.549486	5631.489539
Initial Damping Coeffecient	4047.08464	3942.042677
Unsprung Mass
Critical Damping,	6956.093731	8197.560613
Initial Damping Coeffecient	1391.218746	1639.512123
Low speed compression damping coeff	2023.54232	1971.021339
High speed compression damping coeff	695.6093731	819.7560613
Low speed rebound damping coeff,	6070.62696	5913.064016
High speed rebound damping coeff,	2086.828119	2459.268184

viii.High speed rebound damping coefficient

2.Using the information calculated above, come up with a force vs. velocity shock curve for the front and rear suspensions (velocity range = 0 to 500 mm/sec)

Plotting is done using Matlab.

%velocity vs force curve_front
clear all 
close all
clc
velocity=(0:5:500)

i=1
for c=1:101

%comp_curve
%low

if c <= 10
    damping_coeff=2023.54232
    force_c(i)=velocity(i)*damping_coeff/1000
   %high
else
    damping_coeff=695.6093731
    
    force_c(i)=    force_c(i-1)+(velocity(i)-velocity(i-1))*(damping_coeff/1000)
end

%rebound_curve

if c <=10
    damping_coeff=6070.62696
    force_e(i)=-1*velocity(i)*damping_coeff/1000
else
    damping_coeff=2086.828119
    force_e(i)= (force_e(i-1)-((velocity(i)-velocity(i-1))*damping_coeff/1000))
end

i=i+1
end
figure(1)
plot(velocity,force_c,'linewidth' , 4, 'color','r')
hold on
plot(velocity,force_e,'linewidth' , 4, 'color','g')
plot([0 600], [0 0], 'linewidth' , 4, 'color','b');
title('velocity vs force _front')
xlabel('velocity(mm/sec)')
ylabel('force(N)')
legend('compression','rebound')

%velocity vs force curve_rear

i=1
for c=1:101

%comp_curve
%low

if c <= 10
    damping_coeff=1971.021339
    force_c(i)=velocity(i)*damping_coeff/1000
   %high
else
    damping_coeff=819.7560613
    
    force_c(i)=    force_c(i-1)+(velocity(i)-velocity(i-1))*(damping_coeff/1000)
end

%rebound_curve

if c <=10
    damping_coeff=5913.064016
    force_e(i)=-1*velocity(i)*damping_coeff/1000
else
    damping_coeff=2459.268184
    force_e(i)= (force_e(i-1)-((velocity(i)-velocity(i-1))*damping_coeff/1000))
end

i=i+1
end
figure(2)
plot(velocity,force_c,'linewidth' , 4, 'color','r')
hold on
plot(velocity,force_e,'linewidth' , 4, 'color','g')
plot([0 600], [0 0], 'linewidth' , 4, 'color','b');
title('velocity vs force _rear')
xlabel('velocity(mm/sec)')
ylabel('force(N)')
legend('compression','rebound')

Output Plots: