Organizing and double integrating a large function

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0 个投票

I am trying to build a function using nested functions rather than trying to write out the whole function (sure to make errors). Then I would like to integrate that function with respect to r and psi. How do I set this up so I can have visability to the functions inside while still being able to integrate it.

function [dH] = dHf(r,psi)
% set constants
rho = 1.225;
Xin = 0.3048;
Yin = 0;
R = 0.1524;
[Cl, Cd, Cm, Re_values] = nacaData('4412');
% Velocities at the hub
% p = roll rate, q = pitch rate, r = yaw rate
u = 0 ;v = 0;w = 0;p = 0;q = 0;yawr = 0;
% North Rotor
Vhubxn = u + Yin*yawr;
Vhubyn = v + Xin*yawr;
Vhubzn = w - Yin*p - Xin*q;
Omega = 1100;
lambda = 0.5;
    % Define dH based on dFx 
    dFx = @Fx;
    dH = (-1).*dFx(r,psi).*sin(psi);
        
    % Define dFx based on phii, dL and dD 
        function [dFx] = Fx(r,psi)
        dD = @dDr;
        dL = @dLi;
        phii = @phi;
        dFx = dL(r,psi)*sin(phii(r,psi)) + dD(r,psi)*cos(phii(r,psi));
        % define phii   
            function [Phi] = phi(r,psi)
            UP = @up;
            UT = @ut;
            Phi = atan(UP(r,psi)/UT(r,psi));
                function [upo] = up(r,psi)
                upo = Omega*R* lambda + Vhubzn - ((-1).^0) * r * rho * sin(psi) - r*q*cos(psi);
                end
                function [uto] = ut(r,psi)
                uto = Omega*r + Vhubxn*sin(psi) + ((-1).^0) * Vhubyn *cos(psi);
                end
        
            end
          % Drag definition ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
            function [D] = dDr(r,psi)
            UP = @up;
            UT = @ut;
            c = @cb;
            Cdr = @cDo;
            
            
            D = 0.5*Cdr(r,psi)*rho*(UT(r,psi).^2+UP(r,psi).^2)*c(r);
                
                function [CD] = cDo(r,psi)
                alpha = @a;
                Cda = Cd(95:201,3);
                Cdaa = Cd(95:201,2);
                Cdeq = polyfit(Cdaa,Cda,3);
                CD = Cdeq(1,1)*((alpha(r,psi)).^3) + Cdeq(1,2)*((alpha(r,psi)).^2) + Cdeq(1,3)*(alpha(r,psi)) + Cdeq(1,4);
                    
                    function [ao] = a(r,psi)
                    thetab = @theta;
                    phi = @phii;    
                    
                    ao = thetab(r) - phi(r,psi);
                        function [thetablade] = theta(r)
                        thetablade = -1.1896*r+0.375;
                        end
                        function [Phi] = phii(r,psi)
                        UP = @up;
                        UT = @ut;
                        Phi = atan(UP(r,psi)/UT(r,psi));
                            function [upo] = up(r,psi)
                            upo = Omega*R* lambda + Vhubzn - ((-1).^0) * r * rho * sin(psi) - r*q*cos(psi);
                            end
                            function [uto] = ut(r,psi)
                            uto = Omega*r + Vhubxn*sin(psi) + ((-1).^0) * Vhubyn *cos(psi);
                            end
        
                        end
                    end
                end
                
                function [upo] = up(r,psi)
                upo = Omega*R* lambda + Vhubzn - ((-1).^0) * r * rho * sin(psi) - r*q*cos(psi);
                end
                function [uto] = ut(r,psi)
                uto = Omega*r + Vhubxn*sin(psi) + ((-1).^0) * Vhubyn *cos(psi);
                end
                
                function [C] = cb(r)
                C = -0.12467*r+0.031;
                end
            end
%~~ Lift ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~      
            function [L] = dLi(r,psi)
            UP = @up;
            UT = @ut;
            c = @cb;
            Clo = @cLo;
            
            L = 0.5*Clo(r,psi)*rho*(UT(r,psi).^2+UP(r,psi).^2)*c(r);   
%~~~~~ Cl ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~               
                function [CL] = cLo(r,psi)
                alpha = @a;
                Cla = Cl(95:201,3);
                Claa = Cl(95:201,2);
                Cleq = polyfit(Claa,Cla,3);
                CL = Cleq(1,1)*((alpha(r,psi)).^3) + Cleq(1,2)*((alpha(r,psi)).^2) + Cleq(1,3)*(alpha(r,psi)) + Cleq(1,4);
                    
                    function [ao] = a(r,psi)
                    thetab = @theta;
                    phi = @phii;    
                    
                    ao = thetab(r) - phi(r,psi);
                        function [thetablade] = theta(r)
                        thetablade = -1.1896*r+0.375;
                        end
                        function [Phi] = phii(r,psi)
                        UP = @up;
                        UT = @ut;
                        Phi = atan(UP(r,psi)/UT(r,psi));
                            function [upo] = up(r,psi)
                            upo = Omega*R* lambda + Vhubzn - ((-1).^0) * r * rho * sin(psi) - r*q*cos(psi);
                            end
                            function [uto] = ut(r,psi)
                            uto = Omega*r + Vhubxn*sin(psi) + ((-1).^0) * Vhubyn *cos(psi);
                            end
        
                        end
                    end 
                end
%~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
                function [upo] = up(r,psi)
                upo = Omega*R* lambda + Vhubzn - ((-1).^0) * r * rho * sin(psi) - r*q*cos(psi);
                end
                function [uto] = ut(r,psi)
                uto = Omega*r + Vhubxn*sin(psi) + ((-1).^0) * Vhubyn *cos(psi);
                end
             
                function [C] = cb(r)
                C = -0.12467*r+0.031;
                end
            
            
            
            end 
    
          end
end

3 个评论
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Jeff Coulter 2022-10-18

When I try to use integral2 or trapz, it doesn't see what the internal equations are that build the top level function. it returns not enough input arguments because it doesn't see past the function

example of what I am thinking;

integral2(A, x1,x2,y1,y2)

A = B*C;

C = x *D;

D = y * 2x;

B = y*x;

Torsten 2022-10-18

在 MATLAB Online 中打开

If you like such a structure, use it. I don't.

integral2(@A, x1,x2,y1,y2)
function valueA = A(x,y)
  valueA = B(x,y).*C(x,y)
end
function valueB = B(x,y)
  valueB = y.*x;
end
function valueC = C(x,y)
  valueC = x.*D(x,y);
end
function valueD = D(x,y)
  valueD = y.*2x;
end