Aspects of Modelling: Examples from Consideration of Unusual Movements. in Crash Simulation

Similar documents
Experiment I Voltage Variation and Control

Physics 2A Chapter 10 - Moment of Inertia Fall 2018

Lab 10: Newton s Second Law in Rotation

Inverse Square Law and Polarization

OSCILLATIONS AND GRAVITATION

Rotational Motion. Every quantity that we have studied with translational motion has a rotational counterpart

F(r) = r f (r) 4.8. Central forces The most interesting problems in classical mechanics are about central forces.

06 - ROTATIONAL MOTION Page 1 ( Answers at the end of all questions )

Conservation of Angular Momentum

Physics: Dr. F. Wilhelm E:\Excel files\130\m3a Sp06 130a solved.doc page 1 of 9

PHYS 1410, 11 Nov 2015, 12:30pm.

Physics 1114: Unit 5 Hand-out Homework (Answers)

Analysis of high speed machining center spindle dynamic unit structure performance Yuan guowei

15 B1 1. Figure 1. At what speed would the car have to travel for resonant oscillations to occur? Comment on your answer.

Mathematisch-Naturwissenschaftliche Fakultät I Humboldt-Universität zu Berlin Institut für Physik Physikalisches Grundpraktikum.

Determining solar characteristics using planetary data

Wheel : MC, IC, rc. Pendulum : MB, IB, LB

MASSACHUSETTS INSTITUTE OF TECHNOLOGY Physics Department. Problem Set 10 Solutions. r s

kg 2 ) 1.9!10 27 kg = Gm 1

Physics C Rotational Motion Name: ANSWER KEY_ AP Review Packet

Fresnel Diffraction. monchromatic light source

Multiple choice questions [100 points] As shown in the figure, a mass M is hanging by three massless strings from the ceiling of a room.

Spring 2001 Physics 2048 Test 3 solutions

Lecture 13. Rotational motion Moment of inertia

A NEW VARIABLE STIFFNESS SPRING USING A PRESTRESSED MECHANISM

Extra notes for circular motion: Circular motion : v keeps changing, maybe both speed and

Section 26 The Laws of Rotational Motion

Chapter 5. Applying Newton s Laws. Newton s Laws. r r. 1 st Law: An object at rest or traveling in uniform. 2 nd Law:

= 4 3 π( m) 3 (5480 kg m 3 ) = kg.

b) (5) What average force magnitude was applied by the students working together?

QUALITATIVE AND QUANTITATIVE ANALYSIS OF MUSCLE POWER

Galactic Contraction and the Collinearity Principle

Kinematics in 2-D (II)

Physics: Work & Energy Beyond Earth Guided Inquiry

b) (5) What is the magnitude of the force on the 6.0-kg block due to the contact with the 12.0-kg block?

Circular Motion & Torque Test Review. The period is the amount of time it takes for an object to travel around a circular path once.

Problem Set 5: Universal Law of Gravitation; Circular Planetary Orbits

Chapter 13 Gravitation

Investigation of Self Excited Torsional Vibrations of Different Configurations of Automatic Transmission Systems during Engagement

Name. Date. Period. Engage Examine the pictures on the left. 1. What is going on in these pictures?

F g. = G mm. m 1. = 7.0 kg m 2. = 5.5 kg r = 0.60 m G = N m 2 kg 2 = = N

HW Solutions # MIT - Prof. Please study example 12.5 "from the earth to the moon". 2GmA v esc

Math Notes on Kepler s first law 1. r(t) kp(t)

Computational Methods of Solid Mechanics. Project report

Between any two masses, there exists a mutual attractive force.

Chapter 2: Basic Physics and Math Supplements

Teachers notes. Beyond the Thrills excursions. Worksheets in this book. Completing the worksheets

Gravitation. AP/Honors Physics 1 Mr. Velazquez

Chapter 5. Uniform Circular Motion. a c =v 2 /r

EN40: Dynamics and Vibrations. Midterm Examination Thursday March

Magnetic Fluctuation Induced Particle Transport and Parallel Ion Velocity Fluctuations on MST. Weixing Ding, D.L. Brower, T.Yates

Rotational Motion: Statics and Dynamics

HW 7 Help. 60 s t. (4.0 rev/s)(1 min) 240 rev 1 min Solving for the distance traveled, we ll need to convert to radians:

Magnetic Dipoles Challenge Problem Solutions

MEASURING CHINESE RISK AVERSION

- 5 - TEST 1R. This is the repeat version of TEST 1, which was held during Session.

LC transfer of energy between the driving source and the circuit will be a maximum.


Proposal of Impedance Control for Electric Vehicles with Wheel Resolver - Application to Hand Assisted Parking and Position Adjustment -

General Railgun Function

COMPARISON OF METHODS FOR SOLVING THE HEAT TRANSFER IN ELECTRICAL MACHINES

Chem 453/544 Fall /08/03. Exam #1 Solutions

n 1 Cov(X,Y)= ( X i- X )( Y i-y ). N-1 i=1 * If variable X and variable Y tend to increase together, then c(x,y) > 0


6.1: Angles and Their Measure

Phys 201A. Homework 6 Solutions. F A and F r. B. According to Newton s second law, ( ) ( )2. j = ( 6.0 m / s 2 )ˆ i ( 10.4m / s 2 )ˆ j.

Question 1: The dipole

Shape optimization of a flywheel

Velocimetry Techniques and Instrumentation

2018 Physics. Advanced Higher. Finalised Marking Instructions

Sections and Chapter 10

Today in Astronomy 142: the Milky Way s disk

Dynamics of Rotational Motion

1. A stone falls from a platform 18 m high. When will it hit the ground? (a) 1.74 s (b) 1.83 s (c) 1.92 s (d) 2.01 s

Physics 312 Introduction to Astrophysics Lecture 7

c) (6) Assuming the tires do not skid, what coefficient of static friction between tires and pavement is needed?

Pulse Neutron Neutron (PNN) tool logging for porosity Some theoretical aspects

Version 1.0. General Certificate of Education (A-level) June Mathematics MM04. (Specification 6360) Mechanics 4. Final.

MODULE 5 ADVANCED MECHANICS GRAVITATIONAL FIELD: MOTION OF PLANETS AND SATELLITES VISUAL PHYSICS ONLINE

Vibration Analysis of a Two-Dimensional Tire Cross-Section Model

Tutorial Exercises: Central Forces

Potential Energy. The change U in the potential energy. is defined to equal to the negative of the work. done by a conservative force

Rotational Kinetic Energy

Implicit Constraint Enforcement for Rigid Body Dynamic Simulation

Lecture 13 EXAM 2. Today s Topics: Rotational motion Moment of inertia. Tuesday March 8, :15 PM 9:45 PM

Errors in Nobel Prize for Physics (3) Conservation of Energy Leads to Probability Conservation of Parity, Momentum and so on

EXAM NMR (8N090) November , am

Orbital Angular Momentum Eigenfunctions

Analysis and Optimization of a Special Type of Dielectric Loaded Resonant Cavity for Mobile Communication Filters

UNIVERSITY OF SASKATCHEWAN Department of Physics and Engineering Physics

Physics 221 Lecture 41 Nonlinear Absorption and Refraction

The Laws of Motion ( ) N SOLUTIONS TO PROBLEMS ! F = ( 6.00) 2 + ( 15.0) 2 N = 16.2 N. Section 4.4. Newton s Second Law The Particle Under a Net Force

Physics 111. Ch 12: Gravity. Newton s Universal Gravity. R - hat. the equation. = Gm 1 m 2. F g 2 1. ˆr 2 1. Gravity G =

Parameter design and performance analysis of zero inertia continuously variable transmission system

Rotor Blade Performance Analysis with Blade Element Momentum Theory

Circular motion. Objectives. Physics terms. Assessment. Equations 5/22/14. Describe the accelerated motion of objects moving in circles.

COMPUTATIONS OF ELECTROMAGNETIC FIELDS RADIATED FROM COMPLEX LIGHTNING CHANNELS

Chapter 4. Newton s Laws of Motion

ELASTIC ANALYSIS OF CIRCULAR SANDWICH PLATES WITH FGM FACE-SHEETS

EN40: Dynamics and Vibrations. Midterm Examination Tuesday March

Transcription:

Examples fom Consideation of Unusual Movements Univ.-Pof. D.-Ing. Matin Meywek Depatment of Automotive and Powe Tain Engineeing Helmut-Schmidt-Univesity Univesity of the Fedeal Amed Foces, Hambug 1/17

Unusual movements: Example 1: Example 2: Displacements / vibations of the engine in pedestian potection Influence of otations Why ae these unusual movements? Because the engine is usually not unning in cash tests. 2/17

Expeimental setup: head flying against engine hood; HIC is calculated o measued Automotive and Powe Tain Engineeing Pedestian potection 3/17

Passenge potection eality: - head contacts the engine hood; the pobability of a load change is high (dive s shock) a consequence of load change: displacement of the engine distance between engine hood and engine deceases isk of sevee injuies inceases 4/17

x in mm 20 Automotive and Powe Tain Engineeing Engine movement Measuements: coodinates of a point of the engine 0-20 20 y in mm 0-20 z in mm 20 0-20 5/17

engine movement engine movement 6/17 Acceleation in mm/s^2 Time in ms

Quintessence In standad tests no displacements of the engine is pescibed in eality displacements of the engine ae likely in simulation displacements of the engine ae easy to conside in tests the displacement is difficult to implement Simulation shows geat advantages in compaison to tests; this could be one eason fo eplacing moe tests by simulations in pedestian laws. Simulating o testing fo pedestian laws without movement of the engine could yield bad esult in compaison with eality. 7/17

Cash Simulation e.g. RCAR, ODB: both offset cashs What is the CAE enginee doing? cashmodel; definition of initial velocity (e.g. 15 km/h) definition of all initial angula velocities fo the coect inetias and a suitable gea atio? 8/17

Effect 1: Initial angula velocity gyoscopic effects ω flywheel Ωvehicle M gyoscopic = 2 J Ωω offset J flywheel = 0.1 kg m ω flywheel = 2π100 Ω = 1.75 vehicle ad s 2 ad s baie v M gyoscopic 110 Nm 9/17

Effect 1: Initial angula velocity gyoscopic effects otating flywheel 10/17

Effect 1: Initial angula velocity gyoscopic effects ω flywheel >0 ω flywheel <0 Diffeences in Displacements: < 2mm 11/17

ω flywheel =0 Effect 1: Initial angula velocity z-coodinate Scatteing esults fom paallelization 12/17

Effect 1: Initial angula velocity gyoscopic effects influences the esults; because angula velocity is not known exactly, this is an additional stochastic paamete; a geat advantage of simulation becomes obvious: analysing this influence is possible in an easy way 13/17

Effect 2: Coection of otational inetias 2 2 1 2 1 ipv 1 ipigv kin = + P + E E mv J J 2 2 2 2 2 1 v 1 v + Jwf + Jw 2 2 Neglecting slips = 0, S = 0 f E kin 1 2 = mv λ 2 2 2 JP ip J i E pig λ= 1+ + m m 1 J J w m m wf + + 2 lumped mass facto of otational inetia 14/17

Effect 2: Coection of otational inetias E kin 1 2 = mv λ 2 2 2 JP ip J i E pig λ= 1+ + λ 1 = 1.3 1.7 λ = 1.05 4 m m 1 J J w m m wf + + 2 J E 0.1kgm ip 4 ig = 4 m = 1000kg = 0.3m J ip ig m moment of inetia of flywheel gea atio diffeential gea gea atio tansmission gea total mass adius of wheel E 2 p G = J E i i m Typical values of the lumped mass facto fo fist and fouth gea. 2 0.28 15/17

Effect 2: Coection of otational inetias you ty to back you ca out of the gaage you mistake the fist gea with the evese gea you step on the gas pedal and bump into a pat of the wall of the gaage 2 p G = J E i i m λ 1 = 1.3 1.7 λ = 1.05 4 0.28 Typical case of RCAR low speed 15 km/h offset insuance test: 5.1 The test vehicle may be popelled by its own engine o by any othe popelling device. It is not common to conside all otational inetias, in paticula the inetias of the engine and flywheel, in cash simulation. Consequence: eo in kinetic enegy (30% in the example) 16/17

Summay Vibations/displacements could have much influence on pedestian injuies. It could be essential to eithe conside o neglect otations of masses in cash simulation. In case of deviations between simulation and expeiment it could be woth to compae otational inetias. To impove simulation thee ae moe physical effects which should be consideed, e.g. liquid filled pats (flexible ubbe tubes) 17/17