Question

(1) Write a MATLAB script to solve equation of motion of a SDOF system using Central Difference Method. Use Data of Example 10-1 to verify your script. Input to script: m, $\zeta$, k, u(0), $\dot{u}$(0)and p(t) p(t) will be approximated piecewise linear. For discretizing the input excitation choose time interval$\Delta t < \frac{T_n}{\pi}$. Output: (a) plot of displacement time history (b) data: time displacement velocity acceleration

          (1) Write a MATLAB script to solve equation of motion of a SDOF system using
Central Difference Method. Use Data of Example 10-1 to verify your script.
Input to script:
m, $\zeta$, k, u(0), $\dot{u}$(0)and p(t)
p(t) will be approximated piecewise linear. For discretizing the input
excitation choose time interval$\Delta t < \frac{T_n}{\pi}$.
Output:
(a) plot of displacement time history
(b) data:
time
displacement
velocity
acceleration

(1) Write a MATLAB script to solve equation of motion of a SDOF system using
Central Difference Method. Use Data of Example 10-1 to verify your script.
Input to script:
m, ζ, k, u(0), u̇(0)and p(t)
p(t) will be approximated piecewise linear. For discretizing the input
excitation choose time intervalΔ t < (Tn)/(π).
Output:
(a) plot of displacement time history
(b) data:
time
displacement
velocity
acceleration

Added by Daniel C.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Hunza Gilgit

Step 1

01:Tn; % time vector (s) p = zeros(size(t)); % initialize input excitation vector p(t<=Tn/2) = 2*t(t<=Tn/2); % piecewise linear input excitation Show more…

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Write a MATLAB script to solve the equation of motion of a SDOF system using the Central Difference Method. Use the data from Example 10-1 to verify your script. Input to the script: m, k, u(0), i(0), and p(t) p(t) will be approximated as a piecewise linear function. For discretizing the input excitation, choose a time interval t < Tn. Output: (a) Plot of displacement time history (b) Data: displacement, velocity, and acceleration over time