{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

ASE 365 - Lecture 12

ASE 365 - Lecture 12 - Review for test 1 Chapter 1 Concepts...

Info iconThis preview shows pages 1–8. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Review for test 1 Chapter 1: Concepts from dynamics • Newton’s laws (translation & rotation) • Work and energy • Systems of particles, rigid bodies • Masses, dampers, springs • Equivalent springs • Equations of motion Review for test 1 (cont’d) Chapter 2: SDOF free response • Undamped • Damped (viscous) – Underdamped – Critically damped – Overdamped • Measurement of damping (logarithmic decrement, half-amplitude methods) • Coulomb damping Review for test 1 (cont’d) Chapter 3: SDOF harmonic & periodic response • Undamped (including resonance) • Damped: complex frequency response approach to find amplitude and phase • Systems excited by rotating unbalance • Base motion excitation • Vibration isolation: force transmissibility Review for test 1 (cont’d) Chapter 3: SDOF harmonic & periodic response (cont’d) • Response to periodic excitation using Fourier series • Complex Fourier series You can bring one handwritten 8½ x 11 sheet of equations, notes, etc., to use in Test 1. Response to arbitrary inputs Response to unit impulse: Syste m: m,c,k ) ( sin 1 ) ( t u t e m t g d t d n ϖ ϖ ζϖ- = ) ( t δ Response to time-shifted, non-unit impulse: t g(t ) ) ( ) ( τ τ τ- t g d F Syste m: m,c,k ) ( ) ( τ δ τ τ- t d F t S d S F( ) t S …amplified by F(& )d& , time-shifted by e . e (t ) t τ τ τ d t g F t x t ) ( ) ( ) (- = ∫ s. ' of ion superposit a as expresses This : property sampling Recall τ τ δ τ τ τ δ τ d t F t F d t F t F ) ( ) ( ) ( ) ( ) ( ) (-- = ∫ ∞ ∞- ∫ ∞ ∞-- =-- τ τ τ τ τ τ τ τ δ τ d t g F t x t F d t g F d t F ) ( ) ( ) ( ) ( ) ( ) ( ) ( ) ( : is to response , is to response Since ) (causality is this for Since ∫ ∞-- = =- t d t g F t x t t g τ τ τ τ τ ) ( ) ( ) ( , ) ( + + +- =- +- = =- ∞- ∫ ∫ ∫ t x x t x e d t g F d t g F d t g F t x t d d n d t t t n ϖ ϖ ζϖ ϖ τ τ τ τ τ τ τ τ τ ζϖ sin cos ) ( ) ( ) ( ) ( ) ( ) ( ) ( : at clock the Starting . in variable of change a Consider ∫- 2 1 ) ( ) ( t t d t g F τ τ τ . ) ( sin cos ) ( ) ( ) ( < + + +- =- ∫ t t F t x x t x e d t g F t x x x d d n d t t n for of effect the account into take in ) and (with terms condition" initial " The ϖ ϖ ζϖ ϖ τ τ τ ζϖ : when and that so Define - = ⇒ =- = ⇒ =- =- =- ≡ 2 2 1 1 , t t s t t t s t ds d s t t s τ τ τ...
View Full Document

{[ snackBarMessage ]}

Page1 / 25

ASE 365 - Lecture 12 - Review for test 1 Chapter 1 Concepts...

This preview shows document pages 1 - 8. Sign up to view the full document.

View Full Document Right Arrow Icon bookmark
Ask a homework question - tutors are online