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. 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