Dynamic Systems Intro 031906 - Faculty Server Contact | ??2006-09-061 Dr. Peter Avitabile Modal...

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Transcript of Dynamic Systems Intro 031906 - Faculty Server Contact | ??2006-09-061 Dr. Peter Avitabile Modal...

  • 1 Dr. Peter AvitabileModal Analysis & Controls Laboratory22.451 Dynamic Systems Introduction

    Course Introduction

    DynamicSystems22.451

    Peter AvitabileMechanical Engineering DepartmentUniversity of Massachusetts Lowell

    j

    UNSTABLESTABLE

    TIME

    FRF

    FRF

    TIME

    FRF

    TIME

    FRF

    TIME

    TIME

    TIME

    > 1.0

    = 1.0

    = 0.7

    = 0.3

    = 0.1 = 0

    TRANSFER FUNCTION

    )S(F)S(H)S(Y =

    LAPLACE DOMAIN

    IMPULSE

    )t(f)t(h)t(y =

    =t

    0d)t(f)(h)t(y

    TIME DOMAIN

    FRF

    )j(F)j(H)j(Y =

    FREQUENCY DOMAIN

    RESPONSEMODELS

  • 2 Dr. Peter AvitabileModal Analysis & Controls Laboratory22.451 Dynamic Systems Introduction

    What you have learned thus far in other courses

    Math & Science RelatedCalculusOrdinary Differential EquationsPhysics

    Engineering RelatedStatics & DynamicsStrength of Materials & Applied StrengthMachine Design I & IIMathematical Methods

    Why didnt you tell us ???

  • 3 Dr. Peter AvitabileModal Analysis & Controls Laboratory22.451 Dynamic Systems Introduction

    Text Book and References

    Palm textbook has just been released.Excellent treatment of material for course.

    Two other good texts

    Vu & Esfandiari Ogata

  • 4 Dr. Peter AvitabileModal Analysis & Controls Laboratory22.451 Dynamic Systems Introduction

    Overview of this course

  • 5 Dr. Peter AvitabileModal Analysis & Controls Laboratory22.451 Dynamic Systems Introduction

    Overview of this course

  • 6 Dr. Peter AvitabileModal Analysis & Controls Laboratory22.451 Dynamic Systems Introduction

    Overview of this course

  • 7 Dr. Peter AvitabileModal Analysis & Controls Laboratory22.451 Dynamic Systems Introduction

    Overview of this course

    Lectures and homework assignments

  • 8 Dr. Peter AvitabileModal Analysis & Controls Laboratory22.451 Dynamic Systems Introduction

    Overview of this course

    Lectures and homework assignments

  • 9 Dr. Peter AvitabileModal Analysis & Controls Laboratory22.451 Dynamic Systems Introduction

    http://faculty.uml.edu/pavitabile/22.451/ME22451_PDF_downloads.htm

    Course Webpage is your source of information

  • 10 Dr. Peter AvitabileModal Analysis & Controls Laboratory22.451 Dynamic Systems Introduction

    Peter Avitabiles Webpage is tag to all course pages

    http:// pavitabile.caeds.eng.uml.edu

  • 11 Dr. Peter AvitabileModal Analysis & Controls Laboratory22.451 Dynamic Systems Introduction

    Why study Dynamic Systems ?

    Static systems are rarely observed but are often used as an approximation for design

    Just about everything moves !

    Must be able to predict dynamic response of systems for many applications.

    Source: Thelen - UWISC

  • 12 Dr. Peter AvitabileModal Analysis & Controls Laboratory22.451 Dynamic Systems Introduction

    What are some Dynamic Systems ?

  • 13 Dr. Peter AvitabileModal Analysis & Controls Laboratory22.451 Dynamic Systems Introduction

    Some systems are of personal interest

    Source: Thelen - UWISC

  • 14 Dr. Peter AvitabileModal Analysis & Controls Laboratory22.451 Dynamic Systems Introduction

    Some systems are inherently fun

    Just how much does the bungee stretch ?

    ANIMATE

  • 15 Dr. Peter AvitabileModal Analysis & Controls Laboratory22.451 Dynamic Systems Introduction

    Some systems are technically challenging

    response due to shock

    ANIMATE

    high speed videoshowing drop load

    ANIMATE

  • 16 Dr. Peter AvitabileModal Analysis & Controls Laboratory22.451 Dynamic Systems Introduction

    Some systems need performance enhancements

    96.9 3 0.7 0.1 0.3 0.4 0.3 43 0.4 0.3 3.6 2.1 18.2 0.3 14 0.30.2 64.1 1.6 0.1 3.2 3.3 2.7 0.3 2.6 2.7 0.3 2 0.3 1.2 0.5 0.21.8 0.5 3.8 0.7 11.4 1.5 13.2 1.4 12.7 15.7 3.8 2.7 1.6 1.8 1.1 0.40.2 0.6 1.2 96.4 5.1 9.4 0.5 0 0.3 8.7 5.8 0 0 6.9 0 0.10.2 0.8 0.5 0.6 98.3 4.7 48.8 2.2 49.5 24.7 0.9 14.5 0.1 2.4 0.9 0.90.8 4.2 0.7 5.2 22.8 85.5 16.6 0.5 17.5 7.4 12.9 12.5 0.4 5.1 0.8 3.91.9 0.3 0.4 0.5 47.7 2.4 98.4 0.1 57 25.6 11.1 7.1 2 2.7 0.3 1.50.8 0.6 1.4 0.7 50.9 3 59 1.6 97.9 76.9 3.8 9.2 0.4 3.5 0 4.50.2 0.1 2.3 17.2 18.6 0.8 17.8 0.6 66.5 88.4 4.8 5 0.1 16.2 0.3 15.52.3 0.1 0.1 0.3 3.7 0.8 1.1 8.9 2.1 1.1 6.6 8.4 9.8 11.2 15.7 0.5

    12.6 2.2 0.8 0.1 1 0.8 0 55.5 0.5 0.4 5.4 23 86.9 2.8 97.4 0.40.3 2 10.1 1 0.2 1.7 4.1 0.2 10.5 17.8 14.6 0.6 0.2 22.7 1 92.8

  • 17 Dr. Peter AvitabileModal Analysis & Controls Laboratory22.451 Dynamic Systems Introduction

    Some systems are technically challenging

    missile launch responseANIMATE

    AIRFRAME

    WING

    PYLON

    MISSILE

    TYPICAL CONFIGURATION

  • 18 Dr. Peter AvitabileModal Analysis & Controls Laboratory22.451 Dynamic Systems Introduction

    What needs to be considered to evaluate a system?

    Applied Force(speed bump)

    Free body Diagram

    Dynamic characteristics

    Response Specification