ODE45 for Equations of Motion

조회 수: 5 (최근 30일)
Sam Butler
Sam Butler 2023년 3월 21일
댓글: Shree Charan 2023년 5월 4일
Hi, I am hoping someone can help me with the following issue. I have tried this problem multiple times and still can't seem to write the correct code (I am new to MATLAB).
The following three equations of motion are to be solved:
theta dot out is the input velocity into the system, it is time dependant and is characterised by the equation:
All other variables are constant (e.g. theta_dot_zero,J1,c1,k1,f (this is not frequency) etc.).
I believe you can use ode45 to solve this however I have had no luck.
Initial conditions can be taken as zero, a timespan of 0-20seconds can be used as an example.
The aim is to then plot velocity, acceleration and displacement graphs for the unknown theta variables of subscript 1,2,n and out.
I hope someone can help with this! I would really appreciate a draft of some code.
Thanks!
  댓글 수: 8
Torsten
Torsten 2023년 3월 22일
편집: Torsten 2023년 3월 22일
Do you see the problem why the integration takes so long and is almost impossible to perform ?
param.vin = 600*(2*pi/60); %% 600 is the input velocity in rpm
param.f_mech = param.vin/(2*pi);
theta_out_dot = @(t)param.vin+(0.02*param.vin*cos(72*pi*param.f_mech*t))+(0.005*param.vin*cos(144*pi*param.f_mech*t));
t=0:0.000001:0.1;
plot(t,theta_out_dot(t))
Shree Charan
Shree Charan 2023년 5월 4일
@Sam Butler In the question you mention that "theta_dot_out" is the input velocity into the system and "theta_dot_zero" is a constant.
However in the line
theta_out_dot = param.vin+(0.02*param.vin*cos(72*pi*param.f_mech*t))+(0.005*param.vin*cos(144*pi*param.f_mech*t));
theta_dot_zero is replaced with vin which is the input velocity.
Can you please clarify if theta_out_dot = vin as mentioned in the question or if theta_dot_zero = vin.

댓글을 달려면 로그인하십시오.

답변 (0개)

카테고리

Help CenterFile Exchange에서 Programming에 대해 자세히 알아보기

제품

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by