Structural and Mechanical Vibrations & MATLAB question A multi DOF vibratory system shown in Figure 4 is composed of sev
Posted: Tue Jun 07, 2022 1:39 pm
Structural and Mechanical Vibrations & MATLAB question
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 βeigen values or eigen vectorsβ.
b. Define and draw the mode shapes of free, undamped motion.
(System parameters: π1 = β― = π7 = 26519.2 π/π, π1 = β― = π4 = 450
ππ, π1 = β¦ = π7 = 1000 ππ /πm)
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 ΡΠ± 5 www k7 mβ www S kl F2(t) www c5 k4 Fl(t) mβ my www- m4 보 c4 k3 cl c7 wwwww c3 x3(t) x4(t) xl(t)
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 βeigen values or eigen vectorsβ.
b. Define and draw the mode shapes of free, undamped motion.
(System parameters: π1 = β― = π7 = 26519.2 π/π, π1 = β― = π4 = 450
ππ, π1 = β¦ = π7 = 1000 ππ /πm)
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 ΡΠ± 5 www k7 mβ www S kl F2(t) www c5 k4 Fl(t) mβ my www- m4 보 c4 k3 cl c7 wwwww c3 x3(t) x4(t) xl(t)