ES Journal - 2019/2020

Status
Not open for further replies.
5.3.2 Using Free Vibrations to Measure Properties of a System

We will describe one very important application of the results developed in the preceding section.



It often happens that we need to measure the dynamical properties of an engineering system. For example, we might want to measure the natural frequency and damping coefficient for a structure after it has been built, to make sure that design predictions were correct, and to use in future models of the system.


You can use the free vibration response to do this, as follows. First, you instrument your design by attaching accelerometers to appropriate points. You then use an impulse hammer to excite a particular mode of vibration, as discussed in Section 5.1.3. You use your accelerometer readings to determine the displacement at the point where the structure was excited: the results will be a graph similar to the one shown below.





image010.gif


We then identify a nice looking peak, and call the time there
eq0037MP.gif
empty.gif
eq0037M.gif
empty.gif
, as shown.



The following quantities are then measured from the graph:



1. The period of oscillation. The period of oscillation was defined in Section 5.1.2: it is the time between two peaks, as shown. Since the signal is (supposedly) periodic, it is often best to estimate T as follows

eq0038MP.gif
empty.gif
eq0038M.gif
empty.gif


where
eq0039MP.gif
empty.gif
eq0039M.gif
empty.gif
is the time at which the nth peak occurs, as shown in the picture.
Interesting, but I think of humans as creatures which swarm rather than a type tuning fork mechanical object.
index.jpg
 
Yeah, pretty funny. I thought they were deliberately holding fire out of basic common sense - financial conditions aren't within a thousand miles of an actual crisis point, and there's no point whatsoever to cutting rates multiple weeks or even months before covid hits its peak. Better to wait until the virus situation stabilizes before taking action, rather than panic now and see the production shutdowns, market selloff etc. anyway. I guess Trump got his way?

Caveman Powell caves again!
I'm suspecting an ulterior motive.
I'm suspecting that for quite some time now they deliberately wish to drive down rates, has nothing to do with the economy and COVID-19 is just one perfect excuse to implement this faster.
Australia lowered rates today as well, just at the drop of a hat, imo it's a concerted effort by Western gummints working together.
 
Status
Not open for further replies.
Back
Top