Consider the viscoelastically damped system of figure the, Ask an Expert

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Consider the viscoelastically damped system of Figure. The system differs from the viscously damped system by the addition of the spring k1, which introduces one more coordinate, x1' to the system.

The equations of motion for the system in inertial coordinates x and x1 are

mx"= -kx-c(x'-x'₁)+F

0= c(x'-x'₁) - k₁x₁

Write the equation of motion in matrix form.

2434_motion in matrix.jpg

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