ME4189 Equation of Motion Examples
Example 1:
Shown below is a block of mass
that is constrained to only slide upon the surface of the
frictionless horizontal guide bar. In addition, four springs of equal stiffness are attached to the
body in the configur
ME 4189 Vibrations
GEORGIA INSTITUTE OF TECHNOLOGY
George W. Woodruff School of Mechanical Engineering
HW#6 Solutions
The problem statements were taken from Ginsbergs text and are in his notation. The following is a
translation of notations between Ginsbe
ME 4189 Vibrations
GEORGIA INSTITUTE OF TECHNOLOGY
George W. Woodruff School of Mechanical Engineering
HW#7
Problem 7.1:
Two masses are to be located at points 1 and 2. As a preliminary step to solve the
eigenproblem, determine the flexibility matrix for
ME 4189 Vibrations
GEORGIA INSTITUTE OF TECHNOLOGY
George W. Woodruff School of Mechanical Engineering
HW#7 Solutions
Problem 7.1:
Apply load, P, at 1, while the deflection at B = 0; therefore,
1
(2 RL 2 L ) 4 L 1 (PL L ) 5 L = 0
2
3
2
3
5
R = P
16
P
1
1
SPRING 2014
SOLUTIONS. ME4189 HOMEWORK1
Problem 1.
x = Ae jt = A e j(t + ) . Take the real part of x: x = Recfw_x = A cos(t + ) .
2
A
Compute x . From above, x = (Recfw_x) = A cos (t + ) =
(1+ cos(2t + 2 ).
2
2
2
2
2
Compute x and take its real part. Recf
Course Syllabus for ME 4189, Structural Vibrations. SPRING 2014
Prerequisites:
ME 2202 Dynamics of Rigid Bodies ; MATH 2403 (Differential
Equations) or equivalent
Time/Room:
Tu-Th 1:35 pm - 2:55 pm. ROOM: Instr. Center, 113
Instructor:
Dr. Karim G. Sabra
NAME: ME4189 Spring 2016 Quiz #2 02/04i l 6
This is a closed book quiz. Justify all your answers. WRITE CLEANLY. CIRCLE YOUR FINAL RESULTS
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SIGN YOUR NAME NEXT TO THE HONOR CODE BELOW “Having re
ME 4189 Vibrations
GEORGIA INSTITUTE OF TECHNOLOGY
George W. Woodruff School of Mechanical Engineering
HW#6
The problem statements were taken from Ginsbergs text and are in his notation. The following is a
translation of notations between Ginsberg and Tho
ME 4189 Vibration
GEORGIA INSTITUTE OF TECHNOLOGY
George W. Woodruff School of Mechanical Engineering
HW#5
Problem 5.1:
Mechanical and Structural Vibrations, Ginsberg, Exercise 4.3
m1g
This problem will be done using the Newton Euler method
Define general
Finding Displacements and Linearization of Position Vectors
Pages 34 38 in the text describe the process of obtaining the displacement of a spring that is in
an arbitrary orientation, not necessarily parallel to a corresponding generalized coordinate. In
ME3180: Section C
Fall 2012
For Test #1, you may use a calculator (standard or programmable) and one (1) page (8.5 in. x 11 in.,
front and back) of notes, equations, formulas, etc. This page may be handwritten, typed, printed,
and/or copied. You may also
Bending Deection
1
The Dierential Equations
In the last chapter we saw the eect of a torque: A twist angle. What is the eect of bending a beam?
There are two things that are of interest: The beam rotation and the deection u = .
To be able to analyze this
NAME_
GEORGIA INSTITUTE OF TECHNOLOGY
ME4193
TRIBOLOGICAL DESIGN
FALL 2010
EXAM 1
(10 points)
1.
A solid sphere (J = 2/5mR2) is to be released from rest on an inclined plane. The
static coefficient for friction is 0.6, while the kinetic coefficient of fri
ME 4189 Vibrations
GEORGIA INSTITUTE OF TECHNOLOGY
George W. Woodruff School of Mechanical Engineering
HW#1
Problem 1
A flywheel weighing 70 lb is allowed to swing as a pendulum about a knife-edge at the inner side of the
rim, as shown in Fig. P2-7. If th