Class Notes for Vibrational Analysis
(MEAM321)
Michael A. Carchidi
September 7, 2010
Chapter 1 - Introduction to Periodic Motion
The following notes were initially based around the text entitled: Theory of
Vibrations with Applications (5th Edition) by Wil

Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner

\I, inmoaucnbm To vican'nons \
.-_
A Um w x9. omwmm mokon Weft acLUig tn all Eadie WiQSLiMA
no. a; AGSKLLQ. M 30,?ng games c; cfw_km.- a? a was: and wrong, as-\m
/
k/ M tkfgd 5&th we, ken u'xbcakm ti .1 MO-SS- \gdn
l Sstam m QM. Vanda; 4 mug 51mm Knekc,
I

VI- woo DEGVLEE 0: mega): man-ms; o 5 pm
TWP) c9,904: 5% $21169 askms GSE "acne. M15: newe MLD Cdewdm
wovdmccs to demibe we mmn _ M Mei 52 (bed m "or: (hawk?
13 Weugi Una Wm. 4 muekeke $652720 62! MM - Sada 9,2th
MEL ELM hangar: MW.
Fm: VMm-mu or wmnaeb

Class Notes for Vibrational Analysis
(MEAM321)
Michael A. Carchidi
August 21, 2013
Chapter 11 - Nonlinear Vibrations: One Degree-of-Freedom
The following notes were written by Dr. Michael A. Carchidi for the purpose
of teaching a course in mechanical vibr

W. FREE Vimups ogsmm uuma we iBECAtQEE at Mon (Cedwn (i6
Darwm ROD
33am:- mm mucus damqma
Qmsxdu a 91ro saem mu. 1 do? aWndaucted 9nd
m3? - o'c + k x = 0
Ms cou Comebeond h; a [H mm 935mm c; Wnmbokon e4 cx new anew"
awake.
i . . .
. I". H M): cx XE
a? I I

Class Notes for Vibrational Analysis
(MEAM321)
Michael A. Carchidi
August 27, 2013
Chapter 4 - Viscous (Wet) and Coulomb (Dry) Damping
The following notes were written by Dr. Michael A. Carchidi for the purpose
of teaching a course in mechanical vibration

Mechanical Vibrational Analysis
(MEAM321)
Michael A. Carchidi
August 3, 2013
Chapter 1 - Introduction to Periodic Motion
The following notes were written by Dr. Michael A. Carchidi for the purpose
of teaching a course in mechanical vibrations at the Unive

Class Notes for Vibrational Analysis
(MEAM321)
Michael A. Carchidi
August 3, 2013
Chapter 3 - Equilibrium Points and Mechanical Stability Analysis
The following notes were written by Dr. Michael A. Carchidi for the purpose
of teaching a course in mechanic

VI. Tngigp'T wear-mom or 1 90? 893mg (mags-24)
We Vansuenf met-mar em mm 5? in 50.31qu a? my 5 , :5. $2 one
kolc mews: ago; a amen $94161 ulhme. ins the k We Mdan ccmldcuu
Cc dumge 9.330g ca- 50 0&2st ame; M M: 4%, 5me c3
1" lab: we, 1qu Saree, axekocams

Class Notes for Vibrational Analysis
(MEAM321)
Michael A. Carchidi
August 22, 2013
Chapter 9 - Properties of Systems With Two Or More
Degrees-Of-Freedom
The following notes were written by Dr. Michael A. Carchidi for the purpose
of teaching a course in me

)r. 0mm nemons To canal The Evowow gmnmm
So 3m; 3m. have med Umhn"; Gum k) gmd 12 WWUO QW as
(below:- 63 Raw 54/0 84 Nomeqmm) MWouth at; seams c\
me cnmLQ r 301 WOW CWQQK 'Sakmxs mucking mokm Budge
and cfw_cit ngrw as Joenom curler (new; bra M tv la? mix

Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner

Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner

Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner

Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by Ca

Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner

Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner

Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner
Scanned by CamScanner

Class Notes for Vibrational Analysis
(MEAM321)
Michael A. Carchidi
August 21, 2013
Chapter 10 - Vibrations of Some Continuous Systems
The following notes were written by Dr. Michael A. Carchidi for the purpose
of teaching a course in mechanical vibrations

Class Notes for Vibrational Analysis
(MEAM321)
Michael A. Carchidi
September 25, 2013
Chapter 2 - Free Vibrations With One Degree of Freedom
The following notes were written by Dr. Michael A. Carchidi for the purpose
of teaching a course in mechanical vib

Mechanical Vibrational Analysis
(MEAM321)
Michael A. Carchidi
September 3, 2013
Chapter 0 - A Brief Review of Energy Methods in Dynamics
The following notes were written by Dr. Michael A. Carchidi for the purpose
of teaching a course in mechanical vibrati

MEAM321 - Vibrations (Homework #3)
Fall Semester, 2012
M. Carchidi
Problem #1 (30 points) - Spring and Damper Networks
The gure for this problem shows a block of mass m = 6.2 kg connected to
a combination of 5 springs and 3 dampers.
k2
k5 , m5
k4
k1
k3
m

MEAM321 - Theory of Vibrations (Homework #4)
Fall Semester, 2011
M. Carchidi
Problem #1 (20 points)
A mass m is connected to an ideal spring of constant k and conne to
move only in the horizontal direction. Initially the mass is at rest at the
equilibrium

MEAM321 - Theory of Vibrations (Homework #6)
Fall Semester, 2012
M. Carchidi
Problem #1 (25 points)
A block of mass mB is held at the top of a frictionless incline plane of
xed angle , length L, and mass mI that rests of a frictionless tabletop.
The incli

Part a
syms t n q sigma
H = 8;
a = 2;
k = 9*10^9;
%a = pi*k*q*sigma/m;
tau = 4*sqrt(H/a);
w = 2*pi*n/tau;
%y(t) functions
y1 = H - a*t^2;
y2 = a*(t-tau/2)^2 - H;
y3 = H - a*(t-tau)^2;
%coefficients
%k kept symbolic in these calculations for aethetic reaso

Class Notes for Vibrational Analysis
(MEAM321)
Michael A. Carchidi
September 16, 2010
Chapter 2 - Free Vibrations: One Degree-of-Freedom
The following notes were initially based around the text entitled: Theory of
Vibrations with Applications (5th Edition