Здравствуйте, подскажите пожалуйста верно ли решаю следующую систему. Необходимо решать для х от 0 до 10


sistema1.sm (9 KiB) downloaded 43 time(s).

Oh ! my godness ... what could that be ?

I just made it work not knowing anything about the system.
Get inspired of the composition, element wise.

Jean

Forum sistema1 [Russia].sm (11 KiB) downloaded 43 time(s).

... The all matter is about the construction of the D(x,Y) vector.
Can't help more than making it work infinitely many ways.

Jean

Forum sistema1 [Russia Get more].sm (12 KiB) downloaded 39 time(s).

Wrote

... The all matter is about the construction of the D(x,Y) vector.
Can't help more than making it work infinitely many ways.

Jean

Forum sistema1 [Russia Get more].sm (12 KiB) downloaded 39 time(s).

I need to calculate the deformation of a circular membrane under pressure deysiviem p. For this we need to find her the initial conditions on the basis of the above system. those. must find its geometrical parameters - r radius, theta angle, h is the thickness of the deformable membrane.
The x coordinate is the radius value for the non-deformable state, h0 is the thickness of non-deformable shell, p - pressure.
The membrane is fixed on the outer office, and so its boundary conditions:
 r (0, theta) = 0 and r (1, theta) = 1, where x is an independent coordinate from 0 to 1, theta - without dimensional time (19,800 seconds I need)

n = 6.5 - setting a predetermined material, h = 16 mm - the initial thickness of the membrane,
 radius = 1700 mm, p = 0,5786 MPa

To solve the problem, I would like to ask what is given and what you need to find as initial approximation.
Then, ask to sit in the solution set the partition's 10 steps to get started.
And see how deformed in nchalny time.
When I need to connect buduet (1) the task of taking it as (9), (10) -or (14) is its view of the difference - one step task, and the second step is a solution of (21) metdom Runge-Kutta

Hello Collabs: can you help pushing this truck !

Wrote

Hello Collabs: can you help pushing this truck !

Thank you for your file, I has understood

Moody friction factor is a typical example
of this type iterative solving. Smath happy
doing it. Get inspired from the attached.

Jean

Inst_Colebrook MOODY.sm (16 KiB) downloaded 33 time(s).

Thank you Jean for another example

By the way, solving the system of nonlinear algebraic equations still remains the most frustrating activity in SMath for me, in spite of all the efforts of plugin-maker people (Davide Carpi in the first place etc.)

Regards,
Radovan

The goat problem is one of them, High School.

Jean