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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.
A Spring-mass-damper system has mass of 150 kg, stiffness of 1500 N/m and damping coefficient of 200 kg/s. Calculate the undamped natural frequency, the damping ratio and the damped natural frequency. Is the system overdamped, underdamped or critically damped?
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.
Figure 6 shows a viscously damped 1-DOF system, where viscous damping is indicated by a dashpot or damper. The damping force is proportional to the velocity of the mass, but opposite to the motion of the mass, i.e., f c ( t ) = c x ˙ ( t ) , where c is the damping coefficient, in kg s −1 .
27 Μαΐ 2024 · If \(\Delta=0\) we are dealing with critically damped free vibration with \(y_{e}=A_{0} e^{-\frac{c_{e}}{2 m_{e}} t}+A_{t} t e^{-\frac{c_{e}}{2 m_{e}} t}\). Two initial conditions of the form \(y_{e}\left(t_{1}\right)=y_{1}\) or \(\dot{y}_{e}\left(t_{2}\right)=v_{2}\) need to be solved to determine the two unknown constants in the solution ...
