Page 90 - Mechanical Engineer's Data Handbook
P. 90

APPLIED MECHANICS                                                                 79

                        F,v                                                 (a-Phh)
         Engine power P, = -                         Rear wheels torque  T, = prmg -
                        ?o                                                    L
                         D
                         'e
         Engine torque  Te = -
                        2nNe
                                  T4 N
         Wheel force (for 4 wheels) Fw=3 2
                                   r   Nw
         Acceleration power Pa = mvi
         where: a = acceleration, vi =instantaneous  speed.
         Transmission efficiency :
         Overall efficiency qo = qcqr)tdqa
         Typical values are given in the table.
            ~       ~        ~       ~
         Clutch efficiency, qc   0.99                Wheel inertia torque  Ti = la
         Gearbox efficiency, qg   0.98 direct drive
                              0.95 low gears         Deceleration d = pg
         Drive shaft, joints                         Total braking torque (for one wheel):
           and bearings, q,,   0.99
                                                         Tf
         Axle efficiency, qa   0.95                  T,,f=T+ Ti (front)
         Overall efficiency, q,   0.90 direct drive
                              0.85 low gears
                                                         Tr
                                                     T,,, =  + Ti (rear)
         2.5.6   Braking torque

         Let :
          I = moment of  inertia of  a pair of  wheels
          a =angular deceleration of  wheels
         rn = mass of  vehicle
          p=coefficient  of  friction between wheels and road

                                 (b + Ph)
         Front wheels torque  Tf=prmgL





         2.6  Vibrations


         2.6. I   Simple harmonic motion

         Let :
          x =displacement                            rn = vibrating mass
         X =maximum  displacement                    k =spring  stiffness
          t = time                                   4 =phase angle
          f = frequency                              0 =angle of  rotation
         t, = periodic time
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