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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.
Damped free vibration is the oscillatory motion of a mechanical or structural system under the effect of a resistive force, called damping, that dissipates the system's vibrational energy over time. The damping force opposes the velocity direction and results in an exponential decay in amplitude with time.
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.
Damped free vibration refers to the oscillatory motion of a system that gradually decreases in amplitude over time due to the dissipation of energy. This damping effect can be caused by factors such as friction, air resistance, or material properties.
Lecture Video: Damped Free Oscillators. A more realistic physical system, a damped oscillator, is introduced in this lecture. Prof. Lee shows the mathematical solutions actually match the behavior of physical systems. He also does an in-class demo to compare damped and undamped oscillators.
27 Μαΐ 2024 · Figure 13.5: Examples of underdamped, overdamped and critically damped free vibrations. For overdamped and critically damped vibrations, different initial conditions are shown for the same ratio \(c / m_{A}\).
This damping force, often caused by friction or resistance in the medium, removes energy from the system, leading to a gradual reduction in the energy of the oscillations. In mechanical systems, damped free vibrations are crucial for understanding how structures respond to dynamic loads and can help predict their behavior during events such as ...
