modelExperiment

ALIAS difficult, JermannChair from COPRIN (subproblem B with 9 unknowns)

Information

// Nonlinear system of equations
// It depends on the following parameters: 
//   D5_a
//   D5_b
//   D5_c
//   Pl1_a
//   Pl1_b
//   Pl1_c
// Unknowns[9]: 
//   D_z(start = 0)
//   D4_x(start = 0)
//   D4_y(start = 0)
//   D_y(start = 0)
//   D_x(start = 0)
//   D4_c(start = 0)
//   D4_b(start = 0)
//   D4_a(start = 0)
//   D4_z(start = 0)
algorithm // Torn part

equation // Residual equations
0 = D_x*Pl1_a+D_y*Pl1_b+D_z*Pl1_c;
0 = D4_a*(D_y-D4_y)-D4_b*(D_x-D4_x);
0 = D4_c*(D_x-D4_x)-D4_a*(D_z-D4_z);
0 = D4_a*D4_x+D4_b*D4_y+D4_c*D4_z;
0 = D4_a^2+D4_b^2+D4_c^2-1;
0 = D5_a*D4_a+D5_b*D4_b+D5_c*D4_c;
0 = D4_a*D4_z-D4_c*D4_x;
0 = D4_c*D4_y-D4_b*D4_z;
0 = D_x^2+D_y^2+D_z^2-4;
// Analytic Jacobian was produced, but it is not listed here.
// To have it listed, set
//   Advanced.OutputModelicaCodeWithJacobians = true
// before translation. May give much output,
// because common subexpression elimination is not activated.
// End of nonlinear system of equations

Parameters

TypeNameDefaultDescription
BooleanstartAtSolfalse
Real[:]xstar{1.931850, 0, 0, 0, -0.517638, 0.965926, 0, -0.258819, 0}Solution
RealD5_a0
RealD5_b1
RealD5_c0
RealPl1_a0.965926
RealPl1_b0
RealPl1_c0.258819
RealD4_x_startif startAtSol then xstar[9] else 0.1
RealD4_z_startif startAtSol then xstar[2] else 0.1
RealD4_c_startif startAtSol then xstar[6] else 0.1
RealD4_b_startif startAtSol then xstar[7] else 0.1
RealD4_a_startif startAtSol then xstar[8] else 0.1
RealD4_y_startif startAtSol then xstar[3] else 0.1
RealD_z_startif startAtSol then xstar[1] else 0.1
RealD_y_startif startAtSol then xstar[4] else 0.1
RealD_x_startif startAtSol then xstar[5] else 0.1

Components

TypeNameDefaultDescription
Real[:]x{D_z, D4_z, D4_y, D_y, D_x, D4_c, D4_b, D4_a, D4_x}
RealerrorModelica.Math.Vectors.norm(x - xstar, Modelica.Constants.inf)
RealD4_x
RealD4_z
RealD4_c
RealD4_b
RealD4_a
RealD4_y
RealD_z
RealD_y
RealD_x