Difference between forced vibration and combined SHM

In summary, forced vibration and combined SHM both involve the motion of a particle under the influence of two periodic forces. The main difference is that combined SHM is a superposition of two separate SHM functions, while forced vibration is a damped oscillator being driven by an external force. In SHM, the oscillator always oscillates at its natural frequency, but in forced vibration, this may not be the case.
  • #1
sadhu
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what is the difference between forced vibration and combined SHM.

since both include motion of particle under the influence of two periodic force
 
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  • #2
I had to google around for the phrase "combined simple harmonic motion" but from what I see is that combined simple harmonic motion is just a harmonic motion that is composed of two different SHM's. While on the other hand a forced vibration (I'm assuming you're referring to a Force Harmonic Oscillator) is a damped oscillator (damped by neccessity, otherwise you'd have the equations blow up in your face) that is being driven by an outside force.

Basically, forced vibration: there is an outside force acting on it, combined SHM is merely a superpositioning of two motion functions... I may be wrong, but I'm not entirely sure what you mean by combined SHM.
 
  • #3
With SHM, an oscillator always oscillates at its natural frequency.

In the case of a forced oscillator, this is not necessarily the case.

Claude.
 

1. What is the definition of forced vibration?

Forced vibration is a type of vibration that occurs when a system is subjected to an external force or excitation, causing it to vibrate at a specific frequency. This external force can be periodic or non-periodic, and the system may or may not have its natural frequency of vibration in sync with the external force.

2. How is forced vibration different from free vibration?

Free vibration occurs when a system is allowed to vibrate without any external force acting upon it. In contrast, forced vibration is caused by an external force acting on the system. This external force can significantly affect the amplitude and frequency of the vibration, unlike free vibration where the amplitude and frequency are solely determined by the system's natural characteristics.

3. What is the main difference between forced vibration and combined SHM?

The main difference between forced vibration and combined SHM (simple harmonic motion) is that forced vibration is always caused by an external force, while combined SHM is a type of vibration that can occur naturally in a system with multiple degrees of freedom. Combined SHM is a combination of two or more simple harmonic motions with different frequencies and amplitudes.

4. Can combined SHM be considered as a type of forced vibration?

No, combined SHM cannot be considered as a type of forced vibration because it occurs naturally in a system with multiple degrees of freedom, without any external force acting on it. In combined SHM, the oscillations are caused by the system's own natural frequencies and not by an external force.

5. What are some real-life examples of forced vibration and combined SHM?

Forced vibration can be observed in various scenarios, such as when a car is running on a bumpy road, causing the vehicle to vibrate due to the external force of the road's irregularities. On the other hand, combined SHM can be seen in objects like a pendulum, with the combination of its oscillations in different directions creating a combined SHM motion. Another example is a swinging bridge, where the combination of its vertical and horizontal oscillations forms a combined SHM pattern.

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