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Image transcription text Task 3: Calculating discomfort level for many pairs of (inertance, damping coefficient) The function calc_discomfort allows you to determine the discomfort level

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Task 3: Calculating discomfort level for many pairs of (inertance, damping coefficient) The function
calc_discomfort allows you to determine the discomfort level for each set of suspension parameters:
spring stiffness k, damping coefficient c and inertance b. For simplicity, we will not change ... 
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The steps for this Task are: 1. Create a 2-dimentional zero array discomfort_array with 1en(inerter_array)
rows and len ( damping_coefficient_array) columns. 2. The (i, j) element of the 2»dimentional array
discomfort_array, i.e. discomfort_array(i, j ), should be assigned the discomfort level of a su... 
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Mathematical model for quarter car with passive suspension The model is derived by applying Newton's
Second Law to the two masses. In ordinary differential equations, the model is: f(t) = cus(t) - cvu(t) +
kys(t) - kyu(t) h ( t) = f (t) - kt yu(t) + ktyr(t) dys (t) = Us(t) dt dyu(t) = Vu(t) dt dus (t) = dt ms... 
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Equations (7)-(12) are what you need for simulation. f (t) = cus(t) - cvu(t) + kys(t) - kyu(t) h(t) = f (t) - kt yu
(t) + ktyr(t) Us(t + 4) = Us (t) + Us (t) A yu(t+ 4) = yu (t) + Vu (t) A Us ( t + A ) = Us(t)+ (- (mu + b) f (t ) +
bh(t) ) A (11) ms mut (ms + mu) b -bf (t) + (ms + b) h(t) Vu(t+ A) = Vu (t) + A (12) Ms mu + (ms + mu) b
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Purpose: Determining the discomfort levels for a given damper values and inerter values Inputs: time
time_array y_road an array of road heights ms the mass of 1/4 of the car body mu the mass of the tyre
and wheel kt tyre stiffness K spring stiffness inerter_values inertance values (array of type

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