Forced Oscillation; general question.

In summary, forced oscillation refers to the motion of a system that is repeatedly disturbed by an external force, causing it to vibrate at a specific frequency. Examples include a child on a swing, a pendulum, or a car on a bumpy road. The main difference between forced oscillation and natural oscillation is the presence of an external force. Factors such as the magnitude and frequency of the external force, as well as the characteristics of the system, can affect the amplitude and frequency of forced oscillation. Some real-world applications of forced oscillation include measuring material stiffness, studying the response of structures to earthquakes, and tuning musical instruments.
  • #1
atomicpedals
209
7
I've got a fairly basic question of mathematical strategy, what technique is used to solve the problem of a forced periodical (but not sinusoidal) oscillation with damping?

Do I simply find the general solution to the differential equations of motion?
 
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  • #2
Or what about non-periodic oscillations?
 

What is a forced oscillation?

A forced oscillation is a type of motion in which a system is repeatedly disturbed by an external force, causing it to oscillate or vibrate at a specific frequency.

What are some examples of forced oscillation?

Some common examples of forced oscillation include a child on a swing being pushed by a parent, a pendulum being pushed by a hand, or a car being driven over a bumpy road.

How does forced oscillation differ from natural oscillation?

The main difference between forced oscillation and natural oscillation is the presence of an external force in forced oscillation, while natural oscillation occurs without any external force.

What factors affect the amplitude and frequency of forced oscillation?

The amplitude and frequency of forced oscillation can be affected by the magnitude and frequency of the external force, as well as the characteristics of the system, such as its mass, stiffness, and damping.

What are some real-world applications of forced oscillation?

Forced oscillation has many practical applications in fields such as engineering, medicine, and music. Some examples include using forced oscillation to measure the stiffness of materials, studying the vibrational response of buildings and bridges to earthquakes, and tuning musical instruments to produce specific frequencies.

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