CE 573 Structural Dynamics
Homework #12
due 5 December 2014, Friday, 2:30pm
1) Helios satellite in space has a Sun-monitoring antenna system made of two external antennas, as shown
below. The heavier antenna has a mass m and is attached to a massless rigi
CE 573 Structural Dynamics
Homework #8
due 24 October 2014, Friday, 2:30pm
1) On 17 January 1994, a magnitude 6.7 earthquake hit the Los Angeles metropolitan area. The epicenter of the
earthquake was in Northridge, CA.
As an engineer, you are asked to com
CE 573 Structural Dynamics
Homework #10
due 7 November 2014, Friday, 2:30pm
1) Consider the structure shown below. It is a single-story structure with a floor hanging from the roof slab. Assume
that slabs are rigid, columns are massless, and axial deforma
CE 573 Structural Dynamics
Homework #11
due 14 November 2014, Monday, 2:30pm
1) An undamped SDOF structure with rigid mass m1 and stiffness k1 is subject to harmonic base excitation (see figure
below). Is it possible to design a simple mass+spring tuned-m
CE 573 Structural Dynamics
Homework #9
due 31 October 2014, Friday, 2:30pm
1) Derive the equations of motion for the three-story frame structure with lumped masses as shown
below. Consider the beams to be rigid. Take the flexural rigidity of the columns a
NUMERICAL SOLUTION BASED ON
APPROXIMATING DERIVATIVES
constant average-acceleration method
~nonlinear analysis~
x(t)
k
m
F(t)
c
k* = 2000 lb/ft
m=
2 lb/(ft/sec/sec)
c=
0 lb/(ft/
lb/(ft/sec)
)
x(0) =
0 ft
v(0) =
0 ft/sec
t =
0.01 sec
(*) Spring is elastopl
CE 573 Structural Dynamics
Homework #5
due 26 September 2014, Friday, 2:30 PM
1)
On a nice weekend day, while you are riding your bicycle around in West Lafayette you make a wrong turn and
end up riding on the infamously rough Lindberg Road by the Celery
CE 573 Structural Dynamics
Homework #4
due 19 September 2014, Friday, 2:30 PM
1) Using the free-vibration data given on the course website http:/engineering.purdue.edu/~ce573, find the
fundamental period and the damping ratio of the three story flat-plate
CE 573 Structural Dynamics
Homework #6
due 3 October 2014, Friday, 2:30pm
1) During of the mission of the space shuttle Discovery, astronauts had to repair a malfunctioning
satellite. They examined the 500-kg satellite and found an unbalanced mass rotatin
CE 573 Structural Dynamics
Homework #2
due 5 September 2014, Friday, 2:30 PM
1) Using the simple numerical approach we used in class, carry out numerical experiments to do the following.
a.
Find the relationship, i.e. mathematical expression, between free
CE 573 Structural Dynamics
Homework #3
due 12 September 2014, Friday, 2:30 PM
1) List three obvious and three not so obvious dynamic systems you see around. What are the different parts
that make each system dynamic?
force F(t), N
x(t)
k
100
m
F(t)
c
time
CE 573 Structural Dynamics
Homework #1
due 29 August 2014, Friday, 2:30pm
1) A beam is found to deflect inches under the point of application of a static load W. It is also found that the
magnitude of the deflection is linearly proportional to the load.
I