The Nature of Natural Frequency

In summary, the natural frequency of an oscillator refers to the frequency at which an ideal oscillator, subject to only a restoring force, will oscillate when left to itself. However, real oscillators are affected by damping and other factors, which may cause them to oscillate at a different frequency. Therefore, the natural frequency may refer to the frequency of an ideal oscillator with no damping, or the frequency of a real oscillator when left to itself. The proper context is needed to determine the boundary conditions for this definition.
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I've been told that the natural frequency of an oscillator is the frequency an oscillator will oscillate at when left to itself. Is this referring to the frequency of an ideal oscillator subject to ONLY a restoring force. Because all REAL oscillators are subject to damping and, when left to themselves, will oscillate at a frequency different than the ideal case. Even if the difference is small for many cases, it is still different. So is the "natural frequency" the frequency a REAL oscillator will oscillate at when left to itself or is it the frequency of the ideal oscillator with no damping? Please don't refer me to a Wikipedia page. Thank you
 
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cdot said:
I've been told that the natural frequency of an oscillator is the frequency an oscillator will oscillate at when left to itself. Is this referring to the frequency of an ideal oscillator subject to ONLY a restoring force. Because all REAL oscillators are subject to damping and, when left to themselves, will oscillate at a frequency different than the ideal case. Even if the difference is small for many cases, it is still different. So is the "natural frequency" the frequency a REAL oscillator will oscillate at when left to itself or is it the frequency of the ideal oscillator with no damping? Please don't refer me to a Wikipedia page. Thank you

When you are told that "... natural frequency of an oscillator is the frequency an oscillator will oscillate at when left to itself.. ", were you also told that this is the ideal condition in which damping and other factors are not being considered?

Everything here has a proper context. If not, then we do not know what the "boundary conditions" are to be able to answer such a thing.

Zz.
 

Related to The Nature of Natural Frequency

1. What is natural frequency distinction?

Natural frequency distinction is the tendency for a system to vibrate at a specific frequency, known as its natural frequency. This frequency is determined by the physical properties of the system and is independent of any external forces or inputs.

2. How is natural frequency distinction related to resonance?

Resonance occurs when an external force is applied to a system at its natural frequency, causing the system to vibrate with increasing amplitude. Natural frequency distinction is important in understanding resonance, as the natural frequency of a system is the frequency at which it will resonate.

3. What factors affect the natural frequency of a system?

The natural frequency of a system is affected by several factors, including the mass, stiffness, and damping of the system. A higher mass or stiffness will result in a lower natural frequency, while increased damping will decrease the natural frequency.

4. How is natural frequency distinction used in engineering and design?

Natural frequency distinction is an important consideration in engineering and design, particularly in structures and machines that are prone to vibration. Understanding the natural frequency of a system allows engineers to design structures and components that can withstand and minimize the effects of resonance.

5. Can the natural frequency of a system be changed?

The natural frequency of a system is primarily determined by its physical properties and cannot be easily changed. However, in some cases, adding or removing mass or adjusting stiffness or damping can alter the natural frequency. Additionally, external forces can also change the natural frequency, as seen in resonance phenomena.

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