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Can we calculate the following equations in Maple?

Substituting equations (21) and (22) into (17), and then obtain equation (23). How to do that? I have done this, but the results are complex and large. They are not in a sum form, but in an expansion form. The reference and the maple file are attached.

Hope for your help.

Best wishes,


Dynamic_buckling_of_thin_isotropic_plates_subjected_to_in-plane_impact.pdf i can convert 3 couple equations to 1 equation with Placement each other?


pd1 := A1*(diff(U(x, theta), x, x, x, x))+A2*(diff(U(x, theta), x, x))+A3*(diff(U(x, theta), x, x, theta, theta))+A4*(diff(V(x, theta), x, x, x, theta))+A5*(diff(V(x, theta), x, theta))+A6*(diff(V(x, theta), x, theta, theta, theta))+A7*(diff(W(x, theta), x, x, x))+A8*(diff(W(x, theta), x))+A9*(diff(W(x, theta), x, theta, theta))+A10*(diff(U(x, theta), theta, theta))+A11*(diff(U(x, theta), theta, theta, theta, theta))-A12*omega^2*U(x, theta)

A1*(diff(diff(diff(diff(U(x, theta), x), x), x), x))+A2*(diff(diff(U(x, theta), x), x))+A3*(diff(diff(diff(diff(U(x, theta), theta), theta), x), x))+A4*(diff(diff(diff(diff(V(x, theta), theta), x), x), x))+A5*(diff(diff(V(x, theta), theta), x))+A6*(diff(diff(diff(diff(V(x, theta), theta), theta), theta), x))+A7*(diff(diff(diff(W(x, theta), x), x), x))+A8*(diff(W(x, theta), x))+A9*(diff(diff(diff(W(x, theta), theta), theta), x))+A10*(diff(diff(U(x, theta), theta), theta))+A11*(diff(diff(diff(diff(U(x, theta), theta), theta), theta), theta))-A12*omega^2*U(x, theta)


pd2 := B1*(diff(V(x, theta), x, x, x, x))+B2*(diff(V(x, theta), x, x))+B3*(diff(V(x, theta), theta, theta, theta, theta))+B4*(diff(V(x, theta), theta, theta))+B5*(diff(V(x, theta), x, x, theta, theta))+B6*(diff(U(x, theta), x, x, x, theta))+B7*(diff(U(x, theta), x, theta, theta, theta))+B8*(diff(U(x, theta), x, theta))+B9*(diff(W(x, theta), x, x, theta))+B10*(diff(W(x, theta), theta, theta, theta))+B11*(diff(W(x, theta), theta))-B12*omega^2*V(x, theta)

B1*(diff(diff(diff(diff(V(x, theta), x), x), x), x))+B2*(diff(diff(V(x, theta), x), x))+B3*(diff(diff(diff(diff(V(x, theta), theta), theta), theta), theta))+B4*(diff(diff(V(x, theta), theta), theta))+B5*(diff(diff(diff(diff(V(x, theta), theta), theta), x), x))+B6*(diff(diff(diff(diff(U(x, theta), theta), x), x), x))+B7*(diff(diff(diff(diff(U(x, theta), theta), theta), theta), x))+B8*(diff(diff(U(x, theta), theta), x))+B9*(diff(diff(diff(W(x, theta), theta), x), x))+B10*(diff(diff(diff(W(x, theta), theta), theta), theta))+B11*(diff(W(x, theta), theta))-B12*omega^2*V(x, theta)


pd3 := C1*(diff(W(x, theta), x, x, x, x, x, x))+C2*(diff(W(x, theta), x, x, x, x))+C3*(diff(W(x, theta), x, x, x, x, theta, theta))+C4*(diff(W(x, theta), x, x))+C5*(diff(W(x, theta), x, x, theta, theta))+C6*(diff(W(x, theta), x, x, theta, theta, theta, theta))+C7*(diff(U(x, theta), x, x, x))+C8*(diff(U(x, theta), x))+C9*(diff(U(x, theta), x, theta, theta))+C10*(diff(V(x, theta), x, x, theta))+C11*(diff(V(x, theta), theta))+C12*(diff(V(x, theta), theta, theta, theta))+C13*W(x, theta)+C14*(diff(W(x, theta), theta, theta))+C15*(diff(W(x, theta), theta, theta, theta, theta))+C16*(diff(W(x, theta), theta, theta, theta, theta, theta, theta))-C19*omega^2*W(x, theta)-C18*omega^2*(diff(W(x, theta), theta, theta))-C17*omega^2*(diff(W(x, theta), x, x))

C1*(diff(diff(diff(diff(diff(diff(W(x, theta), x), x), x), x), x), x))+C2*(diff(diff(diff(diff(W(x, theta), x), x), x), x))+C3*(diff(diff(diff(diff(diff(diff(W(x, theta), theta), theta), x), x), x), x))+C4*(diff(diff(W(x, theta), x), x))+C5*(diff(diff(diff(diff(W(x, theta), theta), theta), x), x))+C6*(diff(diff(diff(diff(diff(diff(W(x, theta), theta), theta), theta), theta), x), x))+C7*(diff(diff(diff(U(x, theta), x), x), x))+C8*(diff(U(x, theta), x))+C9*(diff(diff(diff(U(x, theta), theta), theta), x))+C10*(diff(diff(diff(V(x, theta), theta), x), x))+C11*(diff(V(x, theta), theta))+C12*(diff(diff(diff(V(x, theta), theta), theta), theta))+C13*W(x, theta)+C14*(diff(diff(W(x, theta), theta), theta))+C15*(diff(diff(diff(diff(W(x, theta), theta), theta), theta), theta))+C16*(diff(diff(diff(diff(diff(diff(W(x, theta), theta), theta), theta), theta), theta), theta))-C19*omega^2*W(x, theta)-C18*omega^2*(diff(diff(W(x, theta), theta), theta))-C17*omega^2*(diff(diff(W(x, theta), x), x))





i have a problem with convert mathematica code in to maple one

i attached maple file .some line have error.please help me for remove error


fdm.pdf convert root of to explicit form.

w is a imaginary..


restart; w := (1/2)*(2*d-5+I*sqrt(4*d-9))/(d-2)




{Q1 = RootOf((2*I)*(4*d-9)^(1/2)*_Z*d-((2*d-5+I*(4*d-9)^(1/2))/(d-2).(d*(I*(4*d-9)^(1/2)+1)*_Z/((d-2)*b)))*b*d+2*((2*d-5+I*(4*d-9)^(1/2))/(d-2).(d*(I*(4*d-9)^(1/2)+1)*_Z/((d-2)*b)))*b-2*d*_Z), Q2 = -(1/2)*d*(I*(4*d-9)^(1/2)+1)*RootOf((2*I)*(4*d-9)^(1/2)*_Z*d-((2*d-5+I*(4*d-9)^(1/2))/(d-2).(d*(I*(4*d-9)^(1/2)+1)*_Z/((d-2)*b)))*b*d+2*((2*d-5+I*(4*d-9)^(1/2))/(d-2).(d*(I*(4*d-9)^(1/2)+1)*_Z/((d-2)*b)))*b-2*d*_Z)/((d-2)*b)}





I resolve the surface flat grinding of a metal pieces in Mathematica, but I would like convert this program in Maple syntaxis. 

Thanks in advance!

For example, I havd matrix m:=[0 1 0 1 0 1 0], I want to convert it back to m:=[0,1,0,1,0,1,0]. Can someone help to solve? Thank you.

Hi everyone,


I converted a code from Maple 18 to Fortran 77 but the code is badly cut, for instance:

cg = -(F * h * p ** 2 - F * h * q ** 2 + 0.2D1 * F * k * p * q + c
     #os(F) * sqrt(-e ** 2 + 0.1D1) * p ** 2 - cos(F) * sqrt(-e ** 2 + 0.

Is there an option which can force the line cut to be done in an optimized way?

Thank you very much for your help!




Hi, anyone know hot i need to continue my command to get 462 from [4,6,2]?

Thank you~=]]


When I subtract (in base 10) 235 (octal digits) from its reverse I get  [-1,-1,2]. converting this list to number equals 189 (base 10)....divisible by 7. [I would think the list would be [9,8,1] ;

in wolfram alpha 532 base 8 - 235  base 8 = 189 base 10 ).

Converting 189 to octal yields 275. All this is done correctly in Maple.

Now when I add 275 base 8 to 572 (edit: not 575 as I had before) base 8 I should get 1067 base 8, but I don't....

for sure i've done something silly

Sorry for disturbing you. I am wondering if there is an easier approach in Maple that could convert a system of second order differential equations into matrix form. Of course, we could do it by hand easily if the degrees of freedom is small. I would like to know if we could use Maple to do so. 

Here is an example with 6 degrees of freedom: the variables are u, v, w, alpha, beta and gamma. And, this is a uncoupled system.

Vector(6, {(1) = 2*R^2*(diff(w(t), t))*Pi*Omega*h*rho+R^2*(diff(u(t), t, t))*Pi*h*rho-R^2*u(t)*Pi*Omega^2*h*rho = 0, (2) = R^2*(diff(v(t), t, t))*Pi*h*rho = 0, (3) = -2*R^2*(diff(u(t), t))*Pi*Omega*h*rho+R^2*(diff(w(t), t, t))*Pi*h*rho-R^2*w(t)*Pi*Omega^2*h*rho = 0, (4) = (1/4)*R^4*Pi*(diff(alpha(t), t, t))*h*rho+(1/12)*R^2*Pi*(diff(alpha(t), t, t))*h^3*rho+(1/6)*R^2*Pi*(diff(gamma(t), t))*Omega*h^3*rho-(1/12)*R^2*Pi*alpha(t)*Omega^2*h^3*rho = 0, (5) = (1/2)*R^4*Pi*(diff(beta(t), t, t))*h*rho-(1/2)*R^4*Pi*beta(t)*Omega^2*h*rho = 0, (6) = (1/4)*R^4*Pi*(diff(gamma(t), t, t))*h*rho+(1/12)*R^2*Pi*(diff(gamma(t), t, t))*h^3*rho-(1/6)*R^2*Pi*(diff(alpha(t), t))*Omega*h^3*rho-(1/12)*R^2*Pi*gamma(t)*Omega^2*h^3*rho = 0});

The objective is to reform it into matrix form : M*diff(X(t), t, t)+C*diff(X(t), t)+K*X(t)=F.

Thank you in advance for taking a look. 

Hi, anyone know the command to convert a digit to 8 bits binary number ?

Thanks for help..

Is there a way in Maple to convert a list into a string of numbers?

So [1,2,3,4,5] -> 12345

I have tried Maple help, but there are too many convert commands to try them all.
And the ones I have tried didn't work.


Executing HelpTools:-Database:-ConvertAll(): produced file apparently without content. How can all content within DirectSearch.hdb be converted to a .help file accessible through help in Maple 2016?

I get the maple result as a product and sum off terms


x= (a+b*c)/d

i want to convert it to

x= a/d+b*c/d

i try to use convert(x,?)  


Is there a built-in Maple function to convert decmial inches to inch fraction. For example 1.74 as 1+3/4 ?

Trival to do in Delphi or c++ or even create a Maple function. However I would rather use a built-in function.


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