How can I convert x, y, and z which are functions of theta to theta function of x, y, and z?

Question

Hwajin Choi 2021-4-6

0
链接

此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/793932-how-can-i-convert-x-y-and-z-which-are-functions-of-theta-to-theta-function-of-x-y-and-z

评论： Hwajin Choi 2021-4-6

采纳的回答： DGM

Hello,

I have three equations,

eqn1 = 2*L*(y+a)*cos(theta1) + 2*z*L*sin(theta1) + x^2 + y^2 + z^2 + a^2 + L^2 + 2*y*a - l^2 == 0

eqn2 = -L*(sqrt(3)*(x+b)+y+c)*cos(theta2) + 2*z*L*sin(theta2) + x^2 + y^2 + z^2 + b^2 + c^2 + L^2 + 2*x*b + 2*y*c - l^2 == 0

eqn3 = L*(sqrt(3)*(x-b)-y-c)*cos(theta3) + 2*z*L*sin(theta3) + x^2 + y^2 + z^2 + b^2 + c^2 + L^2 - 2*x*b + 2*y*c - l^2 == 0

Every value except theta1,theta2, and theta3 are given.

I want to make the three equations as theta functions having x, y, and z variables.

Like a form of theta1 = .... , theta2 = ....., and theta3 = ....

Please let me know what command I can use to make the conversion.

0 个评论
显示 -2更早的评论隐藏 -2更早的评论

请先登录，再进行评论。

请先登录，再回答此问题。

Answer 1

DGM 2021-4-6

1
链接

此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/793932-how-can-i-convert-x-y-and-z-which-are-functions-of-theta-to-theta-function-of-x-y-and-z#answer_668132

编辑：DGM 2021-4-6

在 MATLAB Online 中打开

Something like this

syms theta1 theta2 theta3 x y z L l c b a
eqn1 = 2*L*(y+a)*cos(theta1) + 2*z*L*sin(theta1) + x^2 + y^2 + z^2 + a^2 + L^2 + 2*y*a - l^2 == 0
eqn2 = -L*(sqrt(3)*(x+b)+y+c)*cos(theta2) + 2*z*L*sin(theta2) + x^2 + y^2 + z^2 + b^2 + c^2 + L^2 + 2*x*b + 2*y*c - l^2 == 0
eqn3 = L*(sqrt(3)*(x-b)-y-c)*cos(theta3) + 2*z*L*sin(theta3) + x^2 + y^2 + z^2 + b^2 + c^2 + L^2 - 2*x*b + 2*y*c - l^2 == 0
e1 = theta1==solve(eqn1,theta1)
e2 = theta2==solve(eqn2,theta2)
e3 = theta3==solve(eqn3,theta3)