Free response of SDOF
In under damped vibrating system, if x1 and x2 are the successive values of the amplitude on the same side of the mean position, then the logarithmic decrement is equal to
The ratio of the maximum displacement of the forced vibration to the deflection due to the static force, is known as
The equation of motion for a vibrating system with viscous damping is d2x/dt2 + c/m X dx/dt + s/m X x = 0 If the roots of this equation are real, then the system will be
In vibration isolation system, if ω/ωn is less than √2 , then for all values of the damping factor, the transmissibility will be where ω = Circular frequency of the system in rad/s, and Yωn = Natural circular frequency of vibration of the system in rad/s.
In vibration isolation system, if ω/ωn > 1, then the phase difference between the transmitted force and the disturbing force is