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Viscous damping is damping that is proportional to the velocity of the system. That is, the faster the mass is moving, the more damping force is resisting that motion. Fluids like air or water generate viscous drag forces.
After completing this lecture, you will be able to do the following: Derive the equation of motion of a damped free vibration for single-degree-of-. freedom system using a suitable technique. Find the solution of the damped free vibration for a SDOF systems. Finding Natural frequency and period of frequency.
Free Vibration. Free vibration occurs without externally applied forces; it arises when kinetic energy or potential energy is present initially in the vibrating system. The energy input is due to initial displacements and velocities, which are also called initial disturbances. Harmonic Motion.
PART (01): VISCUOUSLY DAMPED SDOF SYSTEM UNDAMPED FREE VIBRATION Equation of Motion: 𝑚𝑢 7 :𝑡 ;𝑘𝑢 :𝑡 ;0 Initial Conditions: 𝑢 :𝑡0 ;𝑢 4,𝑢 6 :𝑡0 ;𝑢 6 4 Potentially, a solution is of the form: 𝑢 :𝑡 ;𝐺𝑒 ç [𝐺0 for non-trivial solution, i.e., for non-zero motion; 𝐺 is in general complex-valued.]
Viscously Damped Free Vibration Viscous damping force is expressed by the equation where c is a constant of proportionality. Symbolically. it is ...
Viscous Damped Free Vibrations. Viscous damping is damping that is proportional to the velocity of the system. That is, the faster the mass is moving, the more damping force is resisting that motion. Fluids like air or water generate viscous drag forces. A diagram showing the basic mechanism in a viscous damper.
Outline. Damped Oscillations in Terms of Undamped Natural Modes. Space-State Formulation & Analysis of Viscous Damped Systems. Assume that the damping mechanism can be described by a viscous, quadratic, dissipation function in the generalized velocities. 1.
