ME 270 Vehicle Analysis By: Kevin McClain
ME 270 Objective Develop a mathematical model of a vehicle for simulation using CAMP-G and Matlab. Analyze the system for the following parameters. Ensure driver does not hit the windshield Determine if fatal injuries occur at speeds of 25 mph and 55 mph Determine the “critical” speed at which the driver is not injured.
ME 270 Camp G Bond Graph system representation SF 1:vo 1:v2 1:v1 I:m *Illustration represents bond graph for single belt, Causalities not shown SF 1:vo 1:v2 1:v1 I:m I:M R:b2 C:k2 R:b1 C:k1
ME 270 Matlab Select Matlab in the interface menu of Camp G Camp G opens Matlab At Matlab command prompt, enter “Campgmatlab” Select the “campgmod” tab and enter the system parameters and variables.
ME 270 Matlab System Parameters Vehicle Seat Belt Mass [M] = 1,500 kg Bumper, Damper Rate [b2] = 80,000 N-s/m Bumper, Spring Rate [k2] = 300,000 N/m Seat Belt Damper Rate [b1] = 500 N-s/m Spring Rate [k1] = 10,000 N/m
ME 270 Matlab System Parameters cont. Driver Mass [m] = 100 kg Force on Driver Cannot Exceed 1,500 lbf (6,672 N) Displacement of Driver Cannot Exceed 100 cm (1 m)
ME 270 Matlab System variables System Initial Conditions Q5IN = 0 P13IN=100*25*0.44704 P7IN=1,500*25*0.44704 Initial = [Q5IN; Q11IN; P13IN; P7IN]
ME 270 Matlab System Variables cont. System Parameters R4 = 80,000
ME 270 Matlab System Variables cont. External System Inputs Global Source Flow 1 SF1 = 0 Simulation Time Control T0 = 0 Tf = 5
ME 270 Matlab
ME 270 Matlab Model Output @ 55mph
ME 270 Analysis 25 mph, One and Two Seat Belts Driver will NOT contact windshield Force on Driver is NOT fatal. 55 mph, One and Two Seat Belts Driver WILL contact windshield Force on Driver IS fatal.
ME 270 Analysis cont. Critical Velocity, One Seat Belt Driver will not contact windshield and force on driver does not exceed allowable force at a speed of 30.58 mph Critical Velocity, Two Seat Belts Driver will not contact windshield and force on driver does not exceed allowable force at a speed of 44.97 mph
ME 270 Analysis cont. Time to Windshield w/o seatbelt 55mph, contact at .058 seconds 40mph, contact at .065 seconds 25mph, contact at .1 seconds