Fundamental frequency depends on the modal shape of system i.e different modal shape has different fundamental frequency.

Fundamental frequency corresponding to first modal shape is called natural frequency of the system.

In general, the system has a number of natural frequency modes. However, first mode of natural frequency is known as fundamental frequency....

In a free vibration, when we excite any object, due to its own weight it start vibrates in its own signature (along X, Y or Z axis) which we call it as Mode shapes or Eigen modes.

At some frequencies, vibration reaches the peak values, those frequencies are called as natural frequenies or Eigen values or in general we say resonance.

Fundamental frequency is the very first natural frequency in the line and usually it will have a vibration peak with highest value.

A natural frequency is a frequency at which a system prefers to vibrate. Simple systems have few natural frequencies, and complex systems tend to have more. If there is a disturbance, the system will vibrate at its natural frequency (or frequencies). Also, if there is an input to the system at one of the natural frequencies, there will be high amplitude vibration (resonance).

The term fundamental frequency is often used in vibrations of continuous systems (like strings, beams, bars, etc.) that have an infinite number of natural frequencies. Although there is an infinite number of them, they are usually all integer multiples of the first natural frequency, which is called the fundamental frequency.

In my work, I do not use the term "fundamental frequency" to mean the first natural frequency in a system that has a bunch of random natural natural frequencies. I only use the term when all natural frequencies are integer multiples of the lowest one, the fundamental.

Fundamental frequency is typically used to indicate that the excitation is made up of a fundamental + harmonics. This means the excitation is periodic, but not a sinusoid. In this context, the fundamental frequency has nothing to do with the mass-elastic properties of the dynamic system at hand. On the other had, an eigen-frequency' depends only upon those mass-elastic properties. The problem is when an excitation frequency (fundamental or harmonic) gets close to a natural (eigen) frequency. In such case, we say we have a resonance condition.

Dear respected Dr Sangeet Kumar Patra, Prof Prakash Rajendran, Dr Chitaranjan Pany, Dr Chandrashekar Bk, Prof Tristan Ericson and Dr Djamil Boulahbal thanks for your informative contribution. I appreciate you all.

Best regards

Kifilideen

Dear respected Dr Sangeet Kumar Patra, Prof Prakash Rajendran, Dr Chitaranjan Pany, Dr Chandrashekar Bk, Prof Tristan Ericson and Dr Djamil Boulahbal thanks for your informative contribution. I appreciate you all.

Best regards

Kifilideen

Natural frequency is a system property that depends on dynamical components (mass, stiffness and damping). The system may have a number of natural frequencies depending on the degree of freedom of the system. Fundamental frequency is a mathematical term which is commonly related to Fourier analysis. The first fundamental frequency is the reciprocal of the analysis period (record length). In fourier analysis, the signal is decomposed into a number of components at the fundamental frequency and its harmonics.

In my opinion, there are many modes for the multi-degree system. Each mode has a corresponding natural frequency, but the fundamental frequency is the natural frequency of the first order.

Interested

https://www.physicsclassroom.com/class/sound/Lesson-4/Fundamental-Frequency-and-Harmonics

There are two types of vibrations, the forced vibration and the natural vibration. The natural vibrations are excited by an impulse excitation. The natural vibrations have specific frequencies called the natural frequency of oscillations. The lowest natural oscillation frequency is called the fundamental frequency of oscillation.

Best wishers

natural frequency is a measure of an bject to be tested. fundamental frequency is about in excitation frequency ... when you excite at object, some time the fundamental of the excitation frequency will be equal to natural frequency .. the vibration will me more..

I find it very simple

Natural frequency is a property that concerns oscillations, but fundamental frequency is a property that concerns waves.

• Every system has a natural frequency, but the fundamental frequency occurs in only some of the systems.

• For the fundamental frequency, the superposition of oppositely travelling two identical waves is required, but for natural frequency, only a single oscillation is required.

@ chitaranjan pany, what is the difference between the fundamental frequency and resonance frequency of a material. Also, is it possible for a material to have more than different resonance frequency when it is set into vibration at different times. Thank you

Write "Fundamental frequency" on Google and see:

Fundamental and Harmonics. The lowest resonant frequency of a vibrating object is called its fundamental frequency. Most vibrating objects have more than one resonant frequency and those used in musical instruments typically vibrate at harmonics of the fundamental.

People use the terminology to be able to understand one another, and peoiple in different fields may use same terms differently. As far as I understand, a flexible structure can vibrate with a few frequencies (some would say even an infinite number). Because usually the fundamental, i.e. the lowest harmonic is dominant, people call this the natural frequncy

Any discrete system with n degrees of freedom can have n number of natural frequency. Similarly any continuous system can have infinite natural frequencies. The lowest natural frequency of any system is called fundamental natural frequency and the corresponding mode shape is called fundamental mode shape.

Fourier analysis of a periodic waveform yields two spectra, and each can be plotted separately: (1) amplitude spectrum- magnitude of the frequency components in the waveform plotted as a function of frequency; (2) phase spectrum- phase of each frequency component in the waveform as a function of frequency. The amplitude spectrum of a periodic function exhibits equally-spaced frequency components of varying height (magnitude). The first of these amplitude components is called the fundamental frequency and the amplitude component with the highest magnitude is called the dominant frequency.

The fundamental frequency of a signal has been defined above.

The "natural" frequency of a system, is that system's response to an impulsive forcing function. So hitting (impulsive forcing function) a 256 Hz tuning fork (system) on a table will cause the tuning fork to oscillate at 256 Hz (its natural frequency).