Jason,
Do we expect `simplify` ( a method under SingularityFunction class) to give
output like this:
In [ ] : F = singularityFunc(x, 0, 1) + singularityFunc(x, 3, 2)
In [ ] : F
2
Out [ ] : <x> + <x - 3>
In [ ] : simplify(F)
Out [ ] :
0 for x < 0
x for 0 <= x < 3
x + (x-3)^2 for x >= 3
I think this would be cool implementation.
--------------------
Regards
Sampad
Regards
Sampad Kumar Saha
Mathematics and Computing
I.I.T. Kharagpur
On Mon, Mar 14, 2016 at 12:46 PM, SAMPAD SAHA <sampadsa...@gmail.com> wrote:
>
>
> ---------- Forwarded message ----------
> From: *SAMPAD SAHA* <sampadsa...@gmail.com>
> Date: Monday, March 14, 2016
> Subject: [sympy] GSoC 2016: Singularity Functions
> To: sympy@googlegroups.com
>
>
> 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 <asmeu...@gmail.com> 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 <sampadsa...@gmail.com>
>> wrote:
>>
>>> Hi Aaron,
>>>
>>> I have a doubt .
>>>
>>> Do we want:
>>>
>>>
>>> integrate(f(x)*DiracDelta(x, n), (x, -oo, oo)) would output as
>>>
>>> [image: Inline image 1]
>>>
>>>
>>>
>>>
>>> Regards
>>> Sampad Kumar Saha
>>> Mathematics and Computing
>>> I.I.T. Kharagpur
>>>
>>> On Wed, Mar 9, 2016 at 3:11 AM, Aaron Meurer <asmeu...@gmail.com> 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 <tim.la...@gmail.com> 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 <sampadsa...@gmail.com>
>>>> 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
>>>> >>
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>
>
>
> --
> Regards
> Sampad Kumar Saha
> Mathematics and Computing
> I.I.T. Kharagpur
>
>
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