How to find the maximum of symbolic equation which contains trigonometric terms?
조회 수: 1 (최근 30일)
이전 댓글 표시
I am trying to find the maximum value of "P" in the following equation with respect to "theta". ""dP/dtheta = 0""
P = 0.5*gama*((H)^2)*(1-kv)*Kgama + q*H*(1-kv)*Kq
where
Kgama=((1+tan(beta)*tan(g))*tan(beta)+((1+tan(beta)*tan(g))^2/(tan(theta)-tan(g))))*((sin(theta-phi)+tan(psi)*cos(theta-phi))/(cos(beta+delta-theta+phi)));
Kq = (b/H)*cos(g)*((sin(theta-phi)+tan(psi)*cos(theta-phi))/(cos(beta+delta-theta+phi)));
댓글 수: 1
Torsten
2022년 8월 29일
My first step would be to give values to the other parameters and plot P as a function of theta.
채택된 답변
Torsten
2022년 8월 29일
편집: Torsten
2022년 8월 29일
syms gama H kv q beta phi g theta psi delta b
P = 0.5*gama*((H)^2)*(1-kv)*((1+tan(beta)*tan(g))*tan(beta)+((1+tan(beta)*tan(g))^2/(tan(theta)-tan(g))))*((sin(theta-phi)+tan(psi)*cos(theta-phi))/(cos(beta+delta-theta+phi)))+ q*H*(1-kv)*(b/H)*cos(g)*((sin(theta-phi)+tan(psi)*cos(theta-phi))/(cos(beta+delta-theta+phi)));
dPdtheta = diff(P,theta);
sol = simplify(solve(dPdtheta==0,theta))
추가 답변 (0개)
참고 항목
카테고리
Help Center 및 File Exchange에서 Symbolic Math Toolbox에 대해 자세히 알아보기
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!