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- Thread starter abrandt
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In summary, the problem at hand deals with a mining skip that experiences forced vibration due to the impact of material being emptied. The force of impact decreases each time due to the decreasing mass of material. This is a general transient dynamics problem and can be solved by finding the response to an impulsive load and using linear superposition to find the response to a series of impulses. A "worst case" analysis may also be necessary due to the randomness of the impacts in real life. As an engineering student working on a project with an external company, you may need to consider this approach for solving the problem.

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Your situation seems more like a general transient dynamics problem. You could find the response of the system to an impulsive load (i.e. one impact). The response will be the sum of exponentially decaying vibrations in each of the structural modes that are excited. It's not obvious from your description whether the response would be mainly one vibration mode, or a combination of several modes.

If the system is linear, you can then find the response to a series of impulses of different sizes by linear superposition. That would be straightforward to do numerically, even with a spreadsheet if you don't want to do any programming.

You may want to do some sort of "worst case" analysis here, varying the times of the impulses in your model, since I'm guessing that what happens in real life is partly random.

Forced vibration with decreasing force amplitude is a phenomenon where a system experiences vibrations due to an external force, but the amplitude of the force decreases over time. This can occur in various systems such as mechanical, electrical, and structural systems.

Forced vibration with decreasing force amplitude can be caused by various factors such as friction, damping, or energy dissipation within the system. These factors can gradually decrease the amplitude of the external force and lead to forced vibration with decreasing force amplitude.

Forced vibration with decreasing force amplitude can have different effects on a system depending on its characteristics. In some cases, it can cause the system to reach a steady-state vibration, while in others it can lead to system failure or damage. It is important to understand the properties of the system to predict the effects of forced vibration with decreasing force amplitude.

Yes, forced vibration with decreasing force amplitude can be controlled to some extent by adjusting the properties of the system, such as damping and stiffness. Additionally, using vibration isolation techniques can also reduce the effects of forced vibration with decreasing force amplitude on the system.

Forced vibration with decreasing force amplitude is studied through various techniques such as mathematical modeling, experimental testing, and simulation. These methods help to understand the behavior of the system and predict its response to forced vibration with decreasing force amplitude in different scenarios.

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