Hi, Singularity functions are actually extremely easy to implement given that we have a Dirac delta and Heaviside functions. Assuming that the Dirac delta and Heaviside functions properly handle calculus, it’s trivial to wrap them for use as singularity functions. The only thing that will need to be added is the derivative of the Dirac delta (assuming it’s not already there). I implemented singularity functions in Maple in less than an afternoon.
I was a TA for a Mechanics of Deformable Solids course about 11 or 12 times and wrote it to help the students (as we have a site license for Maple). I also wrote a set of lecture notes on the topic. Cheers, Tim. > On Feb 26, 2016, at 4:29 PM, SAMPAD SAHA <[email protected]> wrote: > > Hi Jason, > > Thank you for the explanation. It really helped me. > > So, basically we want to start it, firstly, by creating a module which would > deal with the mathematical operations performed on Singularity Functions. > After this whole module is prepared, we would focus on how to use this module > for solving beam problems. Am I correct? > > Can you please explain me in brief that what are the mathematical operations > we wanted to implement on that module? > > > On Friday, February 26, 2016 at 4:54:59 PM UTC+5:30, SAMPAD SAHA wrote: > > Hi, > > I am Sampad Kumar Saha , an Undergraduate Mathematics and Computing Student > at I.I.T. Kharagpur. > > I have gone through the idea page and I am interested in working on the > project named Singularity Function. > > By going through the Idea, I understood that we want to add a package to > Sympy which can be used for for solving beam bending stress and deflection > problems using singularity function. Am I correct? > > We can by this way:- > While solving we will be having the moment function as an input which we can > arrange in the form of singularity functions and then integrate it twice to > get the deflection curve and we can give the plot or the equation obtained of > deflection curve as an output. > > I have gone through some documents available on internet which have brief > studies on solving beam bending stress and deflection problems using > singularity functions. > > References:- > • Beam Deflection By Discontinuity Functions. > • Beam Equation Using Singularity Functions. > • Enhanced Student Learning in Engineering Courses with CAS Technology. > Since there is just a brief idea given in the idea page, I have a doubt that > what are the things other than solving beam bending stress and deflection > problems to be implemented in the project? > > Any type of suggestions are welcome. > > ========================================================================================================================================== > Regards > Sampad Kumar Saha > Mathematics and Computing > I.I.T. Kharagpur > > -- > You received this message because you are subscribed to the Google Groups > "sympy" group. > To unsubscribe from this group and stop receiving emails from it, send an > email to [email protected]. > To post to this group, send email to [email protected]. > Visit this group at https://groups.google.com/group/sympy. > To view this discussion on the web visit > https://groups.google.com/d/msgid/sympy/7cbe2101-fd59-484b-9e25-f563636d6366%40googlegroups.com. > For more options, visit https://groups.google.com/d/optout. -- You received this message because you are subscribed to the Google Groups "sympy" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To post to this group, send email to [email protected]. Visit this group at https://groups.google.com/group/sympy. To view this discussion on the web visit https://groups.google.com/d/msgid/sympy/1795A385-4AEA-44FD-BEE8-8115D53DA14B%40gmail.com. For more options, visit https://groups.google.com/d/optout.
