Structural and Mechanical Vibrations & MATLAB question A multi DOF vibratory system shown in Figure 4 is composed of sev

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Structural and Mechanical Vibrations & MATLAB question

Structural And Mechanical Vibrations Matlab Question A Multi Dof Vibratory System Shown In Figure 4 Is Composed Of Sev 1 (155.01 KiB) Viewed 26 times

A multi DOF vibratory system shown in Figure 4 is composed of
severak mass, spring and damping elements.
MATLAB Coding: Write a code to
a. Apply modal analysis to the mass and stiffness matrices. Do
NOT use the built in function “eigen values or eigen vectors”.
b. Define and draw the mode shapes of free, undamped motion.
(System parameters: 𝑘1 = ⋯ = 𝑘7 = 26519.2 𝑁/𝑚, 𝑚1 = ⋯ = 𝑚4 = 450
𝑘𝑔, 𝑐1 = … = 𝑐7 = 1000 𝑁𝑠/𝑚m)
c. Using the modal vectors that you calculated in (b), write a
code to check the orthogonality of the modes.
x2(t) k6 wwwwww k2 сб 5 www k7 m₂ www S kl F2(t) www c5 k4 Fl(t) m₁ my www- m4 보 c4 k3 cl c7 wwwww c3 x3(t) x4(t) xl(t)