TUCRRC Presentation Tennessee 2014 9526KB Sep 13 2016
Transcription
TUCRRC Presentation Tennessee 2014 9526KB Sep 13 2016
Crash Data Presentation Tennessee Crash Conference 2014 Tennessee 2014 http://tucrrc.utulsa.edu 2 Tennessee 2014 http://tucrrc.utulsa.edu 3 Order of Presentation Crash Testing Setup Review of EDR data from crash vehicles Jeremy Daily, University of Tulsa Rotational Mechanics Analysis Brad Muir, Ontario Provincial Police Heavy Vehicle EDR and Network Data Joe Meier, Mechanical Engineering Student EDR Data Analysis Amila Perera, Mechanical Engineering Graduate Student Patrick Tyrving, Mechanical Engineering Student Closing Remarks John Daily, ??? Tennessee 2014 http://tucrrc.utulsa.edu 4 Consortium Website Research Topics of Interest Vehicle Networks Event Data Recorders YouTube Videos Channel = TheTUCRRC Tennessee 2014 http://tucrrc.utulsa.edu 5 Amila Perera on DATA ACQUISITION SYSTEMS AND SETUP Tennessee 2014 http://tucrrc.utulsa.edu 6 Racelogic VBox 3i 100Hz GPS system Serial communication Compact flash logging Brake trigger IMU Tri-axial accelerometer Tri-axial gyroscope Tennessee 2014 http://tucrrc.utulsa.edu 7 Racelogic Video VBox Tennessee 2014 10Hz/20Hz GPS system 4 Cameras Microphone Compact flash logging http://tucrrc.utulsa.edu 8 Instruments eGPS-200Plus Combines data from 2 GPS antennas an IMU, and RTK units to provide several measurements at a rate of up to 200Hz Measurements Acceleration (All 3 axis) Angular velocity (All 3 Axis) Speed Heading, altitude, longitude Slip angle Tennessee 2014 http://tucrrc.utulsa.edu 9 Instruments Accelerometer Tri-axial measurements ±70gs 10,000 Hz bandwidth Tennessee 2014 Gyroscope Tri-axial measurements ±600 deg/s rates 400 Hz bandwidth http://tucrrc.utulsa.edu 10 eDAQ Data Acquisition Rugged system designed for use in harsh environments Enables simultaneous and synchronous recording of multiple channels with different types of instruments Convenient data recording modes Simple interface Tennessee 2014 http://tucrrc.utulsa.edu 11 eDAQ 4 Layers DIO Digital I/O HLS High level analog ECOM Vehicle network communications Tennessee 2014 http://tucrrc.utulsa.edu 12 eDAQlite 4 Layers ELBRG Bridge HLS High level analog ECOM Vehicle network communications Tennessee 2014 http://tucrrc.utulsa.edu 13 eDAQ Data Recording Modes Time history Records continuously Burst history Buffer data Records data in a predefined interval Simplifies data processing Tennessee 2014 http://tucrrc.utulsa.edu 14 Interface (Web) Tennessee 2014 Limited access Manage networked cameras Quick test startup http://tucrrc.utulsa.edu 15 VC4000DAQ 10Hz GPS Brake pedal sensor Tri-axial accelerometer Used to determine drag coefficient Tennessee 2014 http://tucrrc.utulsa.edu 16 Mounting the instruments in the Envoy Tennessee 2014 http://tucrrc.utulsa.edu 17 Power distribution board eDAQ Lite 12V Power Supply Vbox 3i VVBox Tennessee 2014 http://tucrrc.utulsa.edu 18 Mounting instruments in the S10 Tennessee 2014 http://tucrrc.utulsa.edu 19 eGPS 200 Accelerometer eDAQ Lite 12V Power Supply Tennessee 2014 Power distribution board VVBox http://tucrrc.utulsa.edu Vbox 3i 20 Mounting instruments in the trailer Tennessee 2014 http://tucrrc.utulsa.edu 21 eDAQ VC4000 Accelerometer 12V Power Supply Tennessee 2014 http://tucrrc.utulsa.edu 22 Scene Mapping Total Station (Carlson Robotic) Distance measurements Angle Measurements Tennessee 2014 http://tucrrc.utulsa.edu 23 Tennessee 2014 http://tucrrc.utulsa.edu 24 Crash Test Preparation Tennessee 2014 http://tucrrc.utulsa.edu 25 Joe Meier on PRESENTATION OF ACM DATA FROM CRASH VEHICLES Tennessee 2014 http://tucrrc.utulsa.edu 26 Introduction Air Bag Control Module Overview Data from EDR Reference accelerometer data Data Analysis Tennessee 2014 http://tucrrc.utulsa.edu 27 Air Bag Control Module (ACM) System in vehicles designed to protect passengers during a car crash Monitors crash sensors throughout the car in order to determine deployment of air bags and pretensioners Tennessee 2014 http://tucrrc.utulsa.edu 28 ACM Components Crash Sensors Located in front, rear and sides of car Detects narrow crash zones Wakes up algorithm enable (AE) More modern sensors can send acceleration data to help in AE deployment decision making Accelerometer in Air Bag Control Module Generally in CG Tennessee 2014 http://tucrrc.utulsa.edu 29 ACM Components Air Bags and Seatbelt Pretensioners Deploy based on AE decision making Event Data Recorder (EDR) Stores pre-crash data from vehicle communication network Stores crash data Delta v Time Tennessee 2014 http://tucrrc.utulsa.edu 30 How the ACM works ACM uses accelerometer to detect crash like conditions When these conditions are met, AE will activate When activated, AE has two choices Deploy air bags and pretensioners Called deployment event Data permanently stored to memory Not deploy air bags and pretensioners Called non-deployment event Data not permanently stored to memory Tennessee 2014 http://tucrrc.utulsa.edu 31 ACM Flow Process Diagram Crash sensors measure acceleration Crash-like acceleration? No Yes Activate AE Deployment Event? Yes Tennessee 2014 EDR records pre-crash data from vehicle communication network and crash data No No deployment of airbag and pretensioners Deploy airbag and pretensioners http://tucrrc.utulsa.edu 32 GMC Envoy Crash Video Tennessee 2014 http://tucrrc.utulsa.edu 33 No Air Bag Deployment Tennessee 2014 http://tucrrc.utulsa.edu 34 Photo of Non-deployment Tennessee 2014 http://tucrrc.utulsa.edu 35 Photo of Non-deployment Tennessee 2014 http://tucrrc.utulsa.edu 36 GMC Envoy Pre-Crash Data Tennessee 2014 http://tucrrc.utulsa.edu 37 GMC Envoy ABS and Δv Crash Data Tennessee 2014 http://tucrrc.utulsa.edu 38 GMC Envoy EDR Δv GMC Envoy Δv vs. Time CDR 0 -5 Δv (mph) -10 -15 -20 -25 -30 -35 -40 -45 0 100 200 300 400 Time (ms) Tennessee 2014 http://tucrrc.utulsa.edu 39 Chevy S10 Crash Video Tennessee 2014 http://tucrrc.utulsa.edu 40 Chevy S10 Pre-Crash Data Tennessee 2014 http://tucrrc.utulsa.edu 41 Chevy S10 ABS and Δv Crash Data Tennessee 2014 http://tucrrc.utulsa.edu 42 Chevy S10 EDR Δv Chevy S10 Δv vs. Time CDR 0 -5 Δv (mph) -10 -15 -20 -25 -30 -35 -40 -45 0 20 40 60 80 100 120 Time (ms) Tennessee 2014 http://tucrrc.utulsa.edu 43 Combined EDR Δv Chevy S10 and GMC Envoy Δv vs. Time GMC Envoy 0 Chevy S10 -5 -10 Δv (mph) -15 -20 -25 -30 -35 -40 -45 0 50 100 150 200 250 300 350 400 Time (ms) Tennessee 2014 http://tucrrc.utulsa.edu 44 Accuracy of EDR Data To test accuracy of EDR Data a reference accelerometer was mounted behind the passenger seat of the crash vehicle Tennessee 2014 http://tucrrc.utulsa.edu 45 Reference Accelerometer Each crash vehicle equipped with a triaxial accelerometer Measurements taken at 5000Hz Tennessee 2014 http://tucrrc.utulsa.edu 46 GMC Envoy Crash Acceleration Impulse Chevy S10 Crash Impulse Acceleration Accelerometer 80 60 Acceleration (g) 40 20 0 -20 0 50 100 150 200 250 -40 -60 -80 -100 Time (ms) Tennessee 2014 http://tucrrc.utulsa.edu 47 Analyzing Accelerometer Data Solving for ΔV: Tennessee 2014 http://tucrrc.utulsa.edu 48 Constant Acceleration Example Acceleration vs. Time Acceleration (ft/s^2) Acceleration 10 8 6 4 2 0 0 1 2 3 4 5 Time (s) Tennessee 2014 http://tucrrc.utulsa.edu 49 Constant Acceleration Example Acceleration vs. Time Acceleration (ft/s^2) Acceleration 10 8 6 4 2 0 0 1 2 3 4 5 Time (s) Tennessee 2014 http://tucrrc.utulsa.edu 50 Constant Acceleration Example Acceleration vs. Time Acceleration (ft/s^2) Acceleration 10 8 6 4 2 0 0 1 2 3 4 5 Time (s) Tennessee 2014 http://tucrrc.utulsa.edu 51 Constant Acceleration Example Acceleration vs. Time Acceleration (ft/s^2) Acceleration 10 8 6 4 2 0 0 1 2 3 4 5 Time (s) Tennessee 2014 http://tucrrc.utulsa.edu 52 GMC Envoy Crash Acceleration Impulse Chevy S10 Crash Impulse Acceleration Accelerometer 80 60 Acceleration (g) 40 20 0 -20 0 50 100 150 200 250 -40 -60 -80 -100 Time (ms) Tennessee 2014 http://tucrrc.utulsa.edu 53 GMC Envoy Crash Acceleration Impulse Chevy S10 Crash Impulse Acceleration Accelerometer 80 60 1ms Acceleration (g) 40 20 0 -20 0 50 100 150 200 250 -40 -60 -80 -100 Time (ms) Tennessee 2014 http://tucrrc.utulsa.edu 54 Crash Impulse Acceleration Acceleration vs. Time (1ms) Accelerometer Acceleration (g) 0.4 0.35 0.3 0.25 0.2 0.15 0.1 0.05 0 0 0.2 0.4 0.6 0.8 1 Time (ms) Tennessee 2014 http://tucrrc.utulsa.edu 55 Trapezoidal Rule Acceleration vs. Time (1ms) Accelerometer Acceleration (g) 0.4 0.35 0.3 0.25 0.2 0.15 0.1 0.05 0 0 0.2 0.4 0.6 0.8 1 Time (ms) Tennessee 2014 http://tucrrc.utulsa.edu 56 GMC Envoy Δv from reference accelerometer GMC Envoy Δv vs. Time Accelerometer 0 -5 Δv (mph) -10 -15 -20 -25 -30 -35 -40 -45 0 Tennessee 2014 100 200 Time (ms) http://tucrrc.utulsa.edu 300 400 57 GMC Envoy Δv comparison GMC Envoy Δv vs. Time Accelerometer CDR 0 -5 Δv (mph) -10 -15 -20 Maximum recorded velocity change -25 -30 -35 -40 -45 0 50 100 150 200 250 300 350 400 Time (ms) Tennessee 2014 http://tucrrc.utulsa.edu 58 Chevy S10 Δv comparison Chevy S10 Δv vs. Time Accelerometer CDR 0 -5 Δv (mph) -10 -15 -20 -25 -30 -35 -40 -45 0 50 100 150 200 250 Time (ms) Tennessee 2014 http://tucrrc.utulsa.edu 59 Accuracy of EDR Data Based on the data provided by the reference accelerometer, the EDR Δv is accurate Similar shape in Δv vs. time graphs validate EDR data Trend line can be used to extrapolate data past the 150ms memory threshold Tennessee 2014 http://tucrrc.utulsa.edu 60 GMC Envoy EDR Δv GMC Envoy Δv vs. Time CDR 0 -5 Δv (mph) -10 -15 -20 -25 -30 -35 -40 -45 0 50 100 150 200 250 300 350 400 Time (ms) Tennessee 2014 http://tucrrc.utulsa.edu 61 GMC Envoy EDR Δv with Curve Fit GMC Envoy Δv vs. Time CDR 0 -5 Δv (mph) -10 -15 -20 -25 -30 -35 -40 -45 0 50 100 150 200 250 300 350 400 Time (ms) Tennessee 2014 http://tucrrc.utulsa.edu 62 GMC Envoy Δv with Curve Fit GMC Envoy Δv vs. Time Accelerometer 0 CDR -5 Δv (mph) -10 -15 -20 -25 -30 -35 -40 -45 0 50 100 150 200 250 300 350 400 Time (ms) Tennessee 2014 http://tucrrc.utulsa.edu 63 Brad Muir on EDR DATA ANALYSIS AND DISCUSSION Tennessee 2014 http://tucrrc.utulsa.edu 64 ACM – Internal Components* *Source: Chidester Paper – NTSB Symposia Accelerometer May have x and y Low pass filter Microcontroller ROM – Contains program RAM – Captures data EEPROM or Flash Memory Crash sensing and diagnostic Crash Data and DTC info storage Capacitors – Energy Reserve Mechanical Safing sensor Newer use Electronic Safing Sensor Tennessee 2014 http://tucrrc.utulsa.edu 65 Auxiliary Sensors Additional sensors to assist in decision making Front / Rear and Side Early sensors were mechanical Latest generation provide acceleration data to ACM Tennessee 2014 http://tucrrc.utulsa.edu 66 When do air bags deploy? At the onset of an event, the ACM detects acceleration sufficient to wakeup the crash sensing / decision making algorithm Based on an evaluation of the sensed acceleration, potentially along information from auxiliary sensors, the ACM makes a decision to Deploy or Not Deploy the supplemental restraints Tennessee 2014 http://tucrrc.utulsa.edu 67 Predictive Decision Making The ACM decision is anticipatory based on pre-programmed criteria “Jerk” and other criteria are evaluated as long as the crash sensing algorithm is awake It does not / can not wait for some minimum delta-v threshold to be met Deployment decision has to be made early to allow time for airbag inflation Tennessee 2014 http://tucrrc.utulsa.edu 68 Ideal Airbag Deployment Timing It is generally held the ideal decision window is ~15-50ms to allow for airbag inflation before occupant contact Tennessee 2014 http://tucrrc.utulsa.edu 69 Deployment Decision Ideal Time Line (Takata example) Tennessee 2014 http://tucrrc.utulsa.edu 70 Delta-v at Deployment Tennessee 2014 http://tucrrc.utulsa.edu 71 Time to Maximum Delta-v Tennessee 2014 http://tucrrc.utulsa.edu 72 Decision Making Comparison Tennessee 2014 http://tucrrc.utulsa.edu 73 Deployment Timing Example Tennessee 2014 http://tucrrc.utulsa.edu 74 Deployment Timing Example Tennessee 2014 http://tucrrc.utulsa.edu 75 Deployment Timing Example Tennessee 2014 http://tucrrc.utulsa.edu 76 Less than ideal timeline Tennessee 2014 http://tucrrc.utulsa.edu 77 When air bags may not deploy Tennessee 2014 http://tucrrc.utulsa.edu 78 SCARS 2013 – Crash #6 Tennessee 2014 http://tucrrc.utulsa.edu 79 SCARS 2013 – Crash #6 Crown Victoria Impact Speed: Delta-Vx: 38mph – VBox GPS (61 km/h) 38mph – CDR (PCM) IST: -37.21mph @ 261ms CDR: -36.31mph @ 656ms (Algorithm Run Time) Airbag (driver) deployed Tennessee 2014 http://tucrrc.utulsa.edu 80 THP 2014 - Crash #1 Tennessee 2014 http://tucrrc.utulsa.edu 81 THP 2014 - Crash #1 Tennessee 2014 http://tucrrc.utulsa.edu 82 THP 2014 - Crash #1 Tennessee 2014 http://tucrrc.utulsa.edu 83 Leica ScanStation Data Tennessee 2014 http://tucrrc.utulsa.edu 84 THP 2014 - Crash #1 Tennessee 2014 http://tucrrc.utulsa.edu 85 THP 2014 - Crash #1 Tennessee 2014 http://tucrrc.utulsa.edu 86 THP 2014 - Crash #1 Tennessee 2014 http://tucrrc.utulsa.edu 87 THP 2014 - Crash #1 Tennessee 2014 http://tucrrc.utulsa.edu 88 THP 2014 - Crash #1 Tennessee 2014 http://tucrrc.utulsa.edu 89 Deployment Timing Example Tennessee 2014 http://tucrrc.utulsa.edu 90 THP 2014 - Crash #2 Tennessee 2014 http://tucrrc.utulsa.edu 91 THP 2014 - Crash #2 Tennessee 2014 http://tucrrc.utulsa.edu 92 THP 2014 - Crash #2 Tennessee 2014 http://tucrrc.utulsa.edu 93 THP 2014 - Crash #2 Tennessee 2014 http://tucrrc.utulsa.edu 94 THP 2014 - Crash #2 Tennessee 2014 http://tucrrc.utulsa.edu 95 THP 2014 - Crash #2 Tennessee 2014 http://tucrrc.utulsa.edu 96 Jerk Defined In physics: Jerk = the rate of change of acceleration also known as jolt, surge, or lurch the derivative of acceleration with respect to time the second derivative of velocity the third derivative of position. Sometimes the guy behind the steering wheel! Tennessee 2014 http://tucrrc.utulsa.edu 97 Jerk – Related to Airbag Deployment Decision Making Tennessee 2014 http://tucrrc.utulsa.edu 98 Jeremy Daily on DETROIT DIESEL ECM DATA AND NETWORK TRAFFIC Tennessee 2014 http://tucrrc.utulsa.edu 99 ‘02 Envoy Crash Test Tennessee 2014 http://tucrrc.utulsa.edu 100 ‘02 Envoy Crash Test Tennessee 2014 http://tucrrc.utulsa.edu 101 DDEC Reports Tennessee 2014 http://tucrrc.utulsa.edu 102 Graph Data Tennessee 2014 http://tucrrc.utulsa.edu 103 Table Data Tennessee 2014 http://tucrrc.utulsa.edu 104 Detroit Diesel Diagnostic Link DDDL Compare ECM Time Clock Tennessee 2014 http://tucrrc.utulsa.edu 105 Speed Record Comparison Tennessee 2014 http://tucrrc.utulsa.edu 106 Remarks Impulse and Momentum data is insufficient to calculate speeds DeltaV from hvEDR data is not resolved well Vehicle Network speed has more samples, thus making it a candidate for data, if available. hvEDR follows the J1587 Road Speed Data. Tennessee 2014 http://tucrrc.utulsa.edu 107 Patrick Tyrving on ROTATIONAL MECHANICS ANALYSIS FOR S10 IMPACT Tennessee 2014 http://tucrrc.utulsa.edu 108 S10 Videos Tennessee 2014 http://tucrrc.utulsa.edu 109 S-10 Crash Analysis • Location of Center of Mass of Trailer • Mass Moment of Inertia of Trailer • Lateral Displacement of Trailer (Displacement Angle) • Angular Velocity of Trailer • Calculating S-10 delta-V • Calculating pre-impact velocity of S-10 • Accuracy of Calculations vs. Equipment Data Tennessee 2014 http://tucrrc.utulsa.edu 110 Determining the location of Center of Mass (C.M.) using Static Analysis Newton’s 3rd Law “For every action there is an equal but opposite reaction.” WTOTAL WLG WRA1 WRA2 W LG RA1 RA2 Location Landing Gear Rear Axle Front Axle Tennessee 2014 Left 3800 2600 2200 Right 4400 1800 1900 Total Trailer Weight (Wtotal) = 16,700 lb. http://tucrrc.utulsa.edu 111 Determining the location of Center of Mass (C.M.) using Static Analysis Tennessee 2014 http://tucrrc.utulsa.edu 112 Determining the location of Center of Mass (C.M.) using Static Analysis 50.3 ft. d1 d2 9.6 13.6 d3 d4 Tennessee 2014 38 47.2 http://tucrrc.utulsa.edu 113 Determining the location of Center of Mass (C.M.) using Static Analysis y x WTOTAL O x d1 WLG WRA1 WRA2 d2 d3 𝑀𝑂 = 0 Tennessee 2014 𝑊𝑅𝐴1 (𝑑1 ) + 𝑊𝑅𝐴2 (𝑑2 ) − 𝑊𝑇𝑂𝑇𝐴𝐿 (𝑋) + 𝑊𝐿𝐺 (𝑑3 ) = 0 http://tucrrc.utulsa.edu 114 Determining the location of Center of Mass (C.M.) using Static Analysis y x WTOTAL O x d1 WLG WRA1 WRA2 d2 d3 𝑊𝑅𝐴1 (𝑑1 ) + 𝑊𝑅𝐴2 (𝑑2 ) + 𝑊𝐿𝐺 (𝑑3 ) 𝑋= 𝑊𝑇𝑂𝑇𝐴𝐿 Tennessee 2014 http://tucrrc.utulsa.edu Location of C.M. from the rear of the trailer. 115 Determining the location of Center of Mass (C.M.) using Static Analysis y 24.5 WTOTAL O x d1 WLG WRA1 WRA2 d2 d3 Location of C.M. from the rear of the trailer. 𝑋 = 24.5 𝑓𝑡 Tennessee 2014 http://tucrrc.utulsa.edu 116 Displacement Angle θ 37.6 7.75ft 7.8 Tennessee 2014 http://tucrrc.utulsa.edu 117 Displacement Angle (Top View) 𝜃= King-pin 𝑡𝑎𝑛−1 7.8 = 0.204 𝑟𝑎𝑑 = 11.72° 37.6 θ 37.6 7.8 θ 37.6 Rear axle Tennessee 2014 7.8 http://tucrrc.utulsa.edu 118 Rotational MechanicsMass Moment of Inertia • Def: Measure of a body’s resistance to rotational acceleration about a specified axis of rotation. • Depends on geometry and location of axis of rotation. • If axis of rotation is NOT through center of mass, then Parallel Axis Theorem must be used. Tennessee 2014 http://tucrrc.utulsa.edu 119 Rotational MechanicsMass Moment of Inertia (Yaw) 1 𝐼𝑧 = 𝑚(𝑏 2 + 𝐿2 ) 12 m…mass b…width of trailer L…length of trailer Units: lb-ft-s2 , slug-ft2 𝐼𝑧,𝐶𝑀 1 16700 = ( )(8.52 + 50.32 ) 12 32.2 𝐼𝑧,𝐶𝑀 = 112,471.73 𝑙𝑏 ∙ 𝑓𝑡 ∙ 𝑠 2 Tennessee 2014 http://tucrrc.utulsa.edu 120 Rotational MechanicsParallel Axis Theorem 𝐼𝑧,𝐾𝑃 = 𝐼𝑧,𝐾𝑃 + 𝑚𝑑 2 King-pin 𝐼𝑧,𝐾𝑃 = 112,471.73 + ( 16700 32.2 )(22.62 ) d=22.6 𝐼𝑧,𝐾𝑃 = 378,308.8 𝑙𝑏 ∙ 𝑓𝑡 ∙ 𝑠 2 Tennessee 2014 http://tucrrc.utulsa.edu 121 Rotational MechanicsAngular Velocity King-pin h = 35.3 PDOF (Center of Axle Assy.) Tennessee 2014 Assumptions: -50/50 Left/Right Weight Distribution -Fully rigid king-pin -Estimate drag-factor (f) 𝜔= 2𝑤𝑓ℎ𝜃 𝐼𝑧,𝑘𝑝 (eq. 9.67) f…estimated drag factor (0.6-0.7) w…weight h…KP to LOI θ…displacement angle I…mass moment of inertia about the King-pin http://tucrrc.utulsa.edu 122 Rotational MechanicsAngular Velocity Plug in numbers… King-pin 𝜔 𝜔= 2(0.7)(16700)(35.3)(0.204) 378308.8 h = 35.3 𝜔 = 0.534857 rad/sec PDOF (Center of Axle Assy.) Tennessee 2014 http://tucrrc.utulsa.edu 123 Delta-V of S-10 King-pin h = 35.3 PDOF (Center of Axle Assy.) Tennessee 2014 𝐼𝑧,𝑘𝑝 𝜔 ∆𝑣 = 𝑚ℎ (eq. 9.60) (378,308.8)(0.535) ∆𝑣 = 3430 ( )(35.3) 32.2 𝑓𝑡 ∆𝑣 = 53.9 = 36.7 𝑚𝑝ℎ 𝑠 http://tucrrc.utulsa.edu 124 Pre-Impact Velocity of S-10 (v1) 𝑣4 + ∆𝑣 𝑣1 = 1+𝑒 𝑒 (eq. 9.72) …Coefficient of restitution (typically 0 - 0.15). Ratio of speeds after and before impact. 1 – elastic & 0 – perfectly inelastic. 𝑣4 = ℎ𝜔 …linear post-impact velocity of trailer 𝑣1 Tennessee 2014 𝑣4 35.3 0.535 + 53.9 𝑣1 = 1+0 𝑣1 = 72.7 𝑓𝑡/ sec = 49.62 𝑚𝑝ℎ http://tucrrc.utulsa.edu 125 Calculations vs. Instrument Data Calculated f Calculated v1 Radar 0.6 45.94 49.62 48.7 0.65 47.81 0.7 49.62 Instruments eGPS-200 48.72 VBOX 3i 49.04 VVBOX Lite 48.75 [mph] This demonstrates that the principles based on Newtonian physics hold true with a small margin of error. Often times, this is all we have to rely on when no other facts/data are available. Tennessee 2014 http://tucrrc.utulsa.edu 126 Consortium Website All data from crash testing and this presentation will be available at http://tucrrc.utulsa.edu Credentials User: TUCRRCmember Password: TUCRRCpassword Tennessee 2014 http://tucrrc.utulsa.edu 127 Safe Travels and Fair Winds. THANK YOU Tennessee 2014 http://tucrrc.utulsa.edu 128
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