Jason, For implementing Additon , Multiplication Do we need to over ride *__mul__ *, *__add__* these methods inside the class *SingularityFunction *or we can just use *simplify *for getting the results.
I am really confused. Regards Sampad Kumar Saha Mathematics and Computing I.I.T. Kharagpur On Fri, Mar 18, 2016 at 1:59 AM, SAMPAD SAHA <[email protected]> wrote: > > I was thinking about multiplication of two singularity functions. It is > possible and it is mathematically significant. We can implement this too in > Sympy. Similarly with powers. > > I need your suggestions. > > > > > Regards > Sampad Kumar Saha > Mathematics and Computing > I.I.T. Kharagpur > > On Wed, Mar 16, 2016 at 9:41 PM, SAMPAD SAHA <[email protected]> > wrote: > >> 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 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