now let B=2A when you are summing a frequency with its double frequencypraveenpandiyan said:so by trignometricaL relation i tried it( as u said) ..with sin A+sinB=(1/2)*sin((1/2)(A+b))*Cos((1/2)(A-B))
So, you plot for just a few cycles. Periodic waveforms are repetitive, what happens during one period also happens during the next period, so you just need to discover the period, and shape of waveform for one cycle.praveenpandiyan said:yes sir but I don't hv known limits in Grapically ..only freq
Harmonic function refers to a mathematical function that repeats itself periodically, such as a sine wave or cosine wave. It is commonly used to describe physical phenomena, such as sound and light waves, that exhibit a repeating pattern.
Harmonic function and vibration are closely related because vibration is a type of motion that follows a harmonic pattern. When an object vibrates, it moves back and forth in a regular and repeating manner, which can be described using a harmonic function.
The main difference between a harmonic function and a non-harmonic function is that a harmonic function follows a periodic pattern, while a non-harmonic function does not. In other words, a non-harmonic function does not repeat itself in a regular manner and may have more complex or irregular behavior.
Harmonic function plays a crucial role in music and sound. The different notes and tones produced in music are based on harmonic frequencies and are created by combining different harmonic functions. Similarly, sound waves are also made up of a combination of harmonic functions, which determine the pitch and timbre of the sound.
Harmonic function can be observed in various real-world phenomena, such as the movement of a pendulum, the motion of a mass on a spring, and the behavior of light waves. It is also commonly used in engineering and design, such as in the construction of bridges and buildings to ensure stability and avoid unwanted vibrations.