According to D' Alembert's principle, m (d 2 x/ dt 2 ) + c (dx/dt) + Kx =0 is the differential
equation for damped free vibrations having single degree of freedom. What will be the
solution to this differential equation if the system is critically damped?
A x = (A + Bt) e – ωt
B x = X e – ξωt (sin ω d t + Φ)
C x = (A – Bt) e – ωt
D x = X e – ξωt (cos ω d t + Φ)
equation for damped free vibrations having single degree of freedom. What will be the
solution to this differential equation if the system is critically damped?
A x = (A + Bt) e – ωt
B x = X e – ξωt (sin ω d t + Φ)
C x = (A – Bt) e – ωt
D x = X e – ξωt (cos ω d t + Φ)