I am a third graduate mechanical engineering student at Abdullah Gül University.
Today I want to mention briefly about singularity functions.
Singularity functions consist of three main title, of course we have some subtitles but most important ones are these.
It is actually a compilation of as we call firstly unit step function secondly unit impulse function and thirdly unit ramp function.
So what is the importance of singularity functions for mechanical engineering.
Namely we can easily get deformation analysis and how it happens on beams by using singularity functions
If we want to examine an example
In this example, we have a beam and this beam is supported from somewhere
and on this beam there is a force P and a distributed force w.
We start the calculation by writing our distribution equation q.
and after writing this equation with taking integral we can go shear force equation and lastly moment equation easily.
and with this way we can get our deformation equivalence.
These functions have a special case for taking integral. In so far
integral
By adding 1 to superscript value n untill
it reaches zero
and this number doesn't effect the value of x
untill n bigger or equal to zero equation
Shortly singularity functions are be
much more the case
Again, for deformation equations
it is an important compilation of function
Thank you..