Logarithmic decay method to find damping ratio from impulse response plot
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heya there ❤❤❤
here is ua answer
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We analyzed vibration of several conservative systems in the preceding section. In each case, we found that if the system was set in motion, it continued to move indefinitely. This is counter to our everyday experience. Usually, if you start something vibrating, it will vibrate with a progressively decreasing amplitude and eventually stop moving.
The reason our simple models predict the wrong behavior is that we neglected energy dissipation. In this section, we explore the influence of energy dissipation on free vibration of a spring-mass system. As before, although we model a very simple system, the behavior we predict turns out to be representative of a wide range of real engineering systems.
5.3.1 Vibration of a damped spring-mass system
The spring mass dashpot system shown is released with velocity  from position  at time . Find .
Once again, we follow the standard approach to solving problems like this
(i) Get a differential equation for s usingF=ma
(ii) Solve the equation
Tysm❤❤
here is ua answer
⬇ ⬇ ⬇ ⬇
We analyzed vibration of several conservative systems in the preceding section. In each case, we found that if the system was set in motion, it continued to move indefinitely. This is counter to our everyday experience. Usually, if you start something vibrating, it will vibrate with a progressively decreasing amplitude and eventually stop moving.
The reason our simple models predict the wrong behavior is that we neglected energy dissipation. In this section, we explore the influence of energy dissipation on free vibration of a spring-mass system. As before, although we model a very simple system, the behavior we predict turns out to be representative of a wide range of real engineering systems.
5.3.1 Vibration of a damped spring-mass system
The spring mass dashpot system shown is released with velocity  from position  at time . Find .
Once again, we follow the standard approach to solving problems like this
(i) Get a differential equation for s usingF=ma
(ii) Solve the equation
Tysm❤❤
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