Yah , You are right . A software having good documentations about all the functionality is preffered more over the others by the users. I will be spending a good amount of time in preparing the documentation citing plenty of examples and tutorials.
Here <https://github.com/sympy/sympy/wiki/GSoC-2016-Application-Sampad-Kumar-Saha-:-Singularity-Functions> is link to my proposal. I have almost added all the things which we have disscussed. I still need to add the example and many more "TODO"s are left. I am working on those. Suggestions are welcomed. Regards Sampad Kumar Saha Mathematics and Computing I.I.T. Kharagpur On Wed, Mar 16, 2016 at 6:18 AM, Jason Moore <[email protected]> wrote: > Looks good. I think you should have plenty of examples in the docs. People > tend to use software more if the docs are top notch. So plenty of examples > and tutorials will really help. > > > Jason > moorepants.info > +01 530-601-9791 > > On Tue, Mar 15, 2016 at 5:25 PM, SAMPAD SAHA <[email protected]> > wrote: > >> You are right. *delta_function.py *needs to be improved. I will to be >> using only* DiracDelta* and *Heaviside *for generating almost all the >> Singularity Functions. >> >> I was also thinking to complete this project in four phases: >> >> 1. Improving existiing Functions. >> 2. Creating Singularity Functions module >> 3. Creating beam Module >> 4. Documentation >> >> >> >> >> >> Regards >> Sampad Kumar Saha >> Mathematics and Computing >> I.I.T. Kharagpur >> >> On Wed, Mar 16, 2016 at 5:44 AM, Jason Moore <[email protected]> >> wrote: >> >>> https://www.python.org/dev/peps/pep-0008/ >>> >>> I think you will need a pure singularity function module and then you >>> will need a beam module that utlizes the singularity function module. You >>> will also likely need to improve the discontinuous functions that are >>> already in sympy. There are at least three layers to this in my eyes. >>> >>> >>> Jason >>> moorepants.info >>> +01 530-601-9791 >>> >>> On Tue, Mar 15, 2016 at 5:07 PM, SAMPAD SAHA <[email protected]> >>> wrote: >>> >>>> Jason >>>> >>>> Pardon please. I couldn't get you by "You will need to follow PEP8 for >>>> the method and class names". >>>> >>>> and yah, i also felt that it would be better if i use the input and >>>> output values of the example problem done by hand. >>>> >>>> So , what do you suggest, Would it be better if we create a different >>>> module ,other than the singularity function module, for solving beam >>>> problems? That module would import the singularity function module for >>>> using them. >>>> >>>> >>>> >>>> >>>> >>>> Regards >>>> Sampad Kumar Saha >>>> Mathematics and Computing >>>> I.I.T. Kharagpur >>>> >>>> On Wed, Mar 16, 2016 at 5:22 AM, Jason Moore <[email protected]> >>>> wrote: >>>> >>>>> I think it is a good start. You will need to follow PEP8 for the >>>>> method and class names. But I just want to see desired functionality. The >>>>> more you can think up, the better. I would suggest doing a beam problem by >>>>> hand and then translating that to a desired API. You can mock up what you >>>>> think the inputs and outputs should be for that example problem. >>>>> >>>>> >>>>> Jason >>>>> moorepants.info >>>>> +01 530-601-9791 >>>>> >>>>> On Tue, Mar 15, 2016 at 4:46 PM, SAMPAD SAHA <[email protected]> >>>>> wrote: >>>>> >>>>>> Ok Jason, >>>>>> >>>>>> And what about the API I have posted just before the earlier post? >>>>>> >>>>>> Any suggestions >>>>>> >>>>>> >>>>>> >>>>>> >>>>>> Regards >>>>>> Sampad Kumar Saha >>>>>> Mathematics and Computing >>>>>> I.I.T. Kharagpur >>>>>> >>>>>> On Wed, Mar 16, 2016 at 5:10 AM, Jason Moore <[email protected]> >>>>>> wrote: >>>>>> >>>>>>> The file locations and method class names are just fine details that >>>>>>> can be worked out later. They are generally not important for your >>>>>>> proposal. Just focus on describing what the future modules should do. >>>>>>> >>>>>>> >>>>>>> Jason >>>>>>> moorepants.info >>>>>>> +01 530-601-9791 >>>>>>> >>>>>>> On Tue, Mar 15, 2016 at 4:36 PM, SAMPAD SAHA <[email protected]> >>>>>>> wrote: >>>>>>> >>>>>>>> Hi Jason, >>>>>>>> >>>>>>>> As I am thinking to create a another module for solving especially >>>>>>>> beam problems (suppose *beambending.py) *, what will be its file >>>>>>>> location? >>>>>>>> Similarly for Singularity Functions (suppose >>>>>>>> singularity_function.py), What will be its location? >>>>>>>> >>>>>>>> And what about the names of methods and classes, Can I give any >>>>>>>> name or we will be discussing it at the time of developing them? >>>>>>>> >>>>>>>> >>>>>>>> >>>>>>>> --------------------- >>>>>>>> Regards, >>>>>>>> Sampad >>>>>>>> >>>>>>>> >>>>>>>> >>>>>>>> >>>>>>>> >>>>>>>> Regards >>>>>>>> Sampad Kumar Saha >>>>>>>> Mathematics and Computing >>>>>>>> I.I.T. Kharagpur >>>>>>>> >>>>>>>> On Wed, Mar 16, 2016 at 3:56 AM, SAMPAD SAHA <[email protected] >>>>>>>> > wrote: >>>>>>>> >>>>>>>>> Thank You Tim and Jason for your suggestions and clearing my >>>>>>>>> doubts. >>>>>>>>> >>>>>>>>> We can also have an another module for solving beam problems. As >>>>>>>>> Jason Have suggested earlier. >>>>>>>>> >>>>>>>>> Some of its classes would be Beam, DistributedLoad, PointLoad, >>>>>>>>> Moment. >>>>>>>>> >>>>>>>>> We can have the API as:- >>>>>>>>> >>>>>>>>> from sympy import >>>>>>>>> SingularityFunction,Beam,DistributedLoad,PointLoad,Moment >>>>>>>>> b = Beam(length = 1, E = 1.87, I = 12) >>>>>>>>> Load1 = DistrubutedLoad(start=l/2, end=l, value= 50) >>>>>>>>> Load2 = PointLoad(location=l/3, value=60) >>>>>>>>> Load3 = Moment(locaton = 1, value = 40, anticlockwise = True) >>>>>>>>> b.apply(Load1,Load2,Load3) >>>>>>>>> b.loadDistribution # Outputs the loading function in the form >>>>>>>>> of singularity function >>>>>>>>> b.shearForce # Outputs the Shear Force Function >>>>>>>>> b.bendingMoment # Outputs the bending Moment Function >>>>>>>>> b.slope # Outputs the Slope Function >>>>>>>>> b.deflection # Outputs the deflection Function >>>>>>>>> >>>>>>>>> b.plotLoadDistribution # Outputs the plot of load Distribution >>>>>>>>> Curve >>>>>>>>> b.plotBendingMoment # Outputs the plot of Bending Moment >>>>>>>>> Curve >>>>>>>>> b.plotDeflection # Outputs the plot of Deflection Curve >>>>>>>>> >>>>>>>>> >>>>>>>>> >>>>>>>>> >>>>>>>>> Regards >>>>>>>>> Sampad Kumar Saha >>>>>>>>> Mathematics and Computing >>>>>>>>> I.I.T. Kharagpur >>>>>>>>> >>>>>>>>> On Wed, Mar 16, 2016 at 2:45 AM, Tim Lahey <[email protected]> >>>>>>>>> wrote: >>>>>>>>> >>>>>>>>>> I agree. One should start directly from the loading function >>>>>>>>>> q(x). The general steps are: >>>>>>>>>> >>>>>>>>>> 1. Start with the loading function q(x) >>>>>>>>>> 2. Integrate to get the shear function V(x). >>>>>>>>>> 3. Integrate again to get the bending moment function M(x). >>>>>>>>>> 4. Integrate to get the slope function E*I*v’(x). >>>>>>>>>> 5. Integrate to get the displacement function E*I*v(x). >>>>>>>>>> >>>>>>>>>> Note that the singularity functions can be multiplied by >>>>>>>>>> arbitrary functions of x as well. This allows for varied loads and >>>>>>>>>> cases >>>>>>>>>> where E and I vary too. To be strictly correct one should include the >>>>>>>>>> integration constants as well and then solve for the reaction forces >>>>>>>>>> and >>>>>>>>>> the constants. >>>>>>>>>> >>>>>>>>>> You’ll need to carefully consider how you handle evaluating at >>>>>>>>>> transition points, especially the beam boundaries. >>>>>>>>>> >>>>>>>>>> Cheers, >>>>>>>>>> >>>>>>>>>> Tim. >>>>>>>>>> >>>>>>>>>> > On Mar 15, 2016, at 4:53 PM, Jason Moore <[email protected]> >>>>>>>>>> wrote: >>>>>>>>>> > >>>>>>>>>> > I think you'd want the user to input the loads on the beam as >>>>>>>>>> singularity functions or some higher level abstraction. If you >>>>>>>>>> require them >>>>>>>>>> to manually compute the bending moment then you are defeating the >>>>>>>>>> purpose >>>>>>>>>> of having a CAS do it for you. >>>>>>>>>> > >>>>>>>>>> > >>>>>>>>>> > Jason >>>>>>>>>> > moorepants.info >>>>>>>>>> > +01 530-601-9791 >>>>>>>>>> > >>>>>>>>>> > On Sun, Mar 13, 2016 at 2:25 PM, SAMPAD SAHA < >>>>>>>>>> [email protected]> wrote: >>>>>>>>>> > Hi Jason, >>>>>>>>>> > >>>>>>>>>> > I have a confusion regarding the user inputs for the beam >>>>>>>>>> problems. >>>>>>>>>> > >>>>>>>>>> > I think that we should take only the Bending Moment Function >>>>>>>>>> (in the form of singularity functions) and the boundary conditions as >>>>>>>>>> inputs. >>>>>>>>>> > >>>>>>>>>> > I mean to say that generally in a given beam bending problem, a >>>>>>>>>> diagram of a beam and distributed loads are provided. So it is not >>>>>>>>>> possible >>>>>>>>>> to get these data as an user input. Rather we can expect that the >>>>>>>>>> user >>>>>>>>>> would formulate the bending moment function, in the form of >>>>>>>>>> Singularity >>>>>>>>>> function, and then provide that function as an input for getting the >>>>>>>>>> elastic curve equation. >>>>>>>>>> > >>>>>>>>>> > Note:- Values of E , I , Boundary Conditions are also expected >>>>>>>>>> as an input. >>>>>>>>>> > >>>>>>>>>> > I need your suggestions. >>>>>>>>>> > >>>>>>>>>> > >>>>>>>>>> > >>>>>>>>>> > ----------------- >>>>>>>>>> > Regards, >>>>>>>>>> > Sampad >>>>>>>>>> > >>>>>>>>>> > >>>>>>>>>> > >>>>>>>>>> > >>>>>>>>>> > >>>>>>>>>> > Regards >>>>>>>>>> > Sampad Kumar Saha >>>>>>>>>> > Mathematics and Computing >>>>>>>>>> > I.I.T. Kharagpur >>>>>>>>>> > >>>>>>>>>> > On Sat, Mar 12, 2016 at 11:50 AM, Aaron Meurer < >>>>>>>>>> [email protected]> wrote: >>>>>>>>>> > It should give (-1)**n*f^(n)(0) (that is, (-1)**n*diff(f(x), x, >>>>>>>>>> n).subs(x, 0)), if I remember the formula correctly. >>>>>>>>>> > >>>>>>>>>> > Aaron Meurer >>>>>>>>>> > >>>>>>>>>> > On Fri, Mar 11, 2016 at 9:00 AM, SAMPAD SAHA < >>>>>>>>>> [email protected]> wrote: >>>>>>>>>> > Hi Aaron, >>>>>>>>>> > >>>>>>>>>> > I have a doubt . >>>>>>>>>> > >>>>>>>>>> > Do we want: >>>>>>>>>> > >>>>>>>>>> > >>>>>>>>>> > integrate(f(x)*DiracDelta(x, n), (x, -oo, oo)) would output as >>>>>>>>>> > >>>>>>>>>> > <image.png> >>>>>>>>>> > >>>>>>>>>> > >>>>>>>>>> > >>>>>>>>>> > >>>>>>>>>> > >>>>>>>>>> > Regards >>>>>>>>>> > Sampad Kumar Saha >>>>>>>>>> > Mathematics and Computing >>>>>>>>>> > I.I.T. Kharagpur >>>>>>>>>> > >>>>>>>>>> > On Wed, Mar 9, 2016 at 3:11 AM, Aaron Meurer < >>>>>>>>>> [email protected]> wrote: >>>>>>>>>> > DiracDelta(x, k) gives the k-th derivative of DiracDelta(x) (or >>>>>>>>>> you >>>>>>>>>> > can write DiracDelta(x).diff(x, k)). >>>>>>>>>> > >>>>>>>>>> > It does look like the delta integrate routines could be >>>>>>>>>> improved here, though: >>>>>>>>>> > >>>>>>>>>> > In [2]: integrate(f(x)*DiracDelta(x), (x, -oo, oo)) >>>>>>>>>> > Out[2]: f(0) >>>>>>>>>> > >>>>>>>>>> > In [3]: integrate(f(x)*DiracDelta(x, 1), (x, -oo, oo)) >>>>>>>>>> > Out[3]: >>>>>>>>>> > ∞ >>>>>>>>>> > ⌠ >>>>>>>>>> > ⎮ f(x)⋅DiracDelta(x, 1) dx >>>>>>>>>> > ⌡ >>>>>>>>>> > -∞ >>>>>>>>>> > >>>>>>>>>> > Since the integration rules for derivatives of delta functions >>>>>>>>>> are >>>>>>>>>> > simple extensions of the rules for the delta function itself, >>>>>>>>>> this is >>>>>>>>>> > probably not difficult to fix. >>>>>>>>>> > >>>>>>>>>> > Aaron Meurer >>>>>>>>>> > >>>>>>>>>> > On Mon, Feb 29, 2016 at 3:39 AM, Tim Lahey <[email protected]> >>>>>>>>>> wrote: >>>>>>>>>> > > 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 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