22e34c39-18e5-49dc-890b-d229d33defd9 106 4 5 false false 0 decimal

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Visualization of finding the roots

AlgLib Solver for a system of nonlinear equations(Uno) result k 1 x f rows range u k el x k el : for x Jac u f u Jacobian : StepMax 0 : Eps 1014 -^: u X0 StepMax Eps x f x Jac al_nleqsolve : 51 line :

Approximation by random numbers X0 u 1 el 1 : i 2 x f rows range u i el u i 1 - el 21 Random * 1 - (1 el + : for u 31 line :

Crank mechanism

Geometry

b 1.9 :

a 1 :

c 1.5 :

xB 1.6 :

yB 0 :

Three equations with four unknowns. Instead of the fourth equation, zero is written

x f x 3 el x 1 el - (2^x 4 el x 2 el - (2^+ b 2^- x 1 el (2^x 2 el (2^+ a 2^- x 4 el yB - (2^x 3 el xB - (2^+ c 2^- 041 mat :

X0 1 0.6677 0.186 0.1432 41 mat

result 0.9316 0.3634 - 1.3778 1.4834 41 mat

result f 3.5184 1015 -^* 6.7554 1016 -^* - 2.4629 1015 -^* 041 mat

joints result :

0 0 joints 1 el joints 2 el joints 3 el joints 4 el xB yB 4 2 mat 0 0 . 15 1 4 mat xB yB . 15 1 4 mat joints 1 el joints 2 el . 15 joints 3 el joints 4 el . 15 2 4 mat joints 1 el joints 2 el 1,2 joints 3 el joints 4 el 3,4 2 3 mat xB yB B 12 1 4 mat 0 0 A 12 1 4 mat 7 1 sys