- Can You Please Help Me With Question 2 In Matlab 1 (275.37 KiB) Viewed 17 times
Can you please help me with question 2 in Matlab
-
answerhappygod
- Site Admin
- Posts: 899604
- Joined: Mon Aug 02, 2021 8:13 am
Can you please help me with question 2 in Matlab
Can you please help me with question 2 in Matlab
A pendulum consisting of three masses is shown in the figure below. . yi mi 12 02 m2 03 mz The motion of the three masses m2,m,,m; is described by either the three angles 94,62,63 or the three displacements X1, X2, X3 . The "natural" choice is the one using the angles. Regardless of the choice, the equations are complicated and highly nonlinear. However, for small angles about the static equilibrium position 0,=0,02=0,03=0 , the equations can be linearized, and are as follows: (m, +me+mg)l Ö,+(m,+ m2) 1,1,0,+m3111303+(m, +m,+m3)91,6,=0 (m, +mg) 1,128, +(m,+ m2)226,+mzlzlző 3+(m,+ m2)91,02=0 m; 1,130,+ m2 121,0 ,+ m2 1 Ö,+m391303=0 (1) + Let m=m2=mz=m and 1,=12=1;=1 and define 0,=vgl. (1) Use Rayleigh's method to get an estimate of the lowest eigenvalue of the system terms of 0. Does (1) satisfy the conditions for applying Rayleigh's method? Experiment with a couple of different assumed modes. (2) Use MATLAB/Octave functions to calculate all eigenvalues of (1) as well as the associated eigenvectors. (3) Repeat (1)-(2) but with 1=51,12=lz=1 and discuss the differences.
A pendulum consisting of three masses is shown in the figure below. . yi mi 12 02 m2 03 mz The motion of the three masses m2,m,,m; is described by either the three angles 94,62,63 or the three displacements X1, X2, X3 . The "natural" choice is the one using the angles. Regardless of the choice, the equations are complicated and highly nonlinear. However, for small angles about the static equilibrium position 0,=0,02=0,03=0 , the equations can be linearized, and are as follows: (m, +me+mg)l Ö,+(m,+ m2) 1,1,0,+m3111303+(m, +m,+m3)91,6,=0 (m, +mg) 1,128, +(m,+ m2)226,+mzlzlző 3+(m,+ m2)91,02=0 m; 1,130,+ m2 121,0 ,+ m2 1 Ö,+m391303=0 (1) + Let m=m2=mz=m and 1,=12=1;=1 and define 0,=vgl. (1) Use Rayleigh's method to get an estimate of the lowest eigenvalue of the system terms of 0. Does (1) satisfy the conditions for applying Rayleigh's method? Experiment with a couple of different assumed modes. (2) Use MATLAB/Octave functions to calculate all eigenvalues of (1) as well as the associated eigenvectors. (3) Repeat (1)-(2) but with 1=51,12=lz=1 and discuss the differences.
Join a community of subject matter experts. Register for FREE to view solutions, replies, and use search function. Request answer by replying!