//Chapter 10:Traction Drives //Example 1 clc; //Variable Initialization Ma=480 //mass of each motor armature in kg 0.48tonne=480kg Da=0.5 //average diameter of each motor in m m=450 //mass of each wheel in kg R=0.54 //radius of each wheel tread in m M=40 //combine wight of one motor and one trailer coach in ton alpha=5 //accelaration in metres per second N=4 //number of DC motors a=0.4 //gear ratio r=20 //train resistance in ohms //Solution Jw=1/2*m*R**2 //inertia of the each wheel in kg metre square nw=2*(N*2) //total number of wheels J1=nw*Jw //total inertia of all the wheels in kg metre square Jm=N*(1/2*Ma*(Da/2)**2) //approximate inertia of all the motors in kg metre square J2=Jm/a**2 //approximate innertia of the motor referred to the wheels in kg metre square Fa2=(J1+J2)*alpha*1000/3600/R //Tractive efforts for driving rorating parts Fa1=277.8*M*alpha //tractive efforts to accelerate the train mass horizontally Fr=r*M //Tractive efforts required to overcome train resistance Ft=Fa1+Fa2+Fr //Tractive efforts required to move the train Tm=a*R*Ft/N //torque per motor //Result mprintf("\nTorque per motor: %.1f N-m",Tm)