SEMM2223 - PROJECT REPORT...
Done
To evaluate the effect of placing an additional springdamper at five different positions on the system's dynamic behavior and recommend the optimal location.
Figure 1
As shown in the Figure 1, the system consists of rigid body AOI pivoted at O supported by four springs (
k_(1),k_(2),k_(3),k_(4)
) and four dampers (
c_(1),c_(2),c_(3),c_(4)
) located on two uniform discs. The system is also loaded with two concentrated masses (
m_(1),m_(2)
). The distance
h_(1)
and
h_(2)
are in range between 0.01 m to 0.2 m . By using MATLAB script, determine and solve the following problems.
a. Determine the natural frequency of the system (
\omega _(n)
), damping ratio (
\zeta
), and its respective period of vibration (
T_(d)
) by using different combination values of
h_(1)
and
h_(2)
. Please plot all result with respect to the different combination values of
h_(1)
and
h_(2)
.
b. By using the same combination of
h_(1)
and
h_(2)
, determine the amplitude ratio,
(x_(n))/(x_(0))
, when
n=1,2,3,4
. Please plot all result with respect to the different combination values of
h_(1)
and
h_(2)
.
c. Discuss the result obtained in (a) and (b).
d. For critical damping condition, determine the value for
h_(1)
and
h_(2)
.
Some modification was made on the system by attaching ONE sets of spring and damper (
k_(s),c_(s)
) at FIVE different locations along AOI. Based on your selected combination of
h_(1)
and
h_(2)
values from (a) and (b), discuss the effect at each location in term of natural frequency of the system (
\omega _(n)
) and damping ratio of the system (
\zeta
). State the best position according to your result.