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+//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)