How do you find the fundamental period of a Fourier series?
A function f is periodic of period T if f(x+T) = f(x) for all x in the domain of f. The smallest positive value of T is called the fundamental period. For example, both sin x and cos x have fundamental period 2π, whereas tan x has fundamental period π. A constant function is periodic with arbitrary period T.
What is earthquake period?
period. The period is the time interval required for one full cycle of a wave.
What is natural period of structure?
All buildings have a natural period, or resonance, which is the number of seconds it takes for the building to naturally vibrate back and forth. If the period of ground motion matches the natural resonance of a building, it will undergo the largest oscillations possible and suffer the greatest damage.
What is natural time period of a structure?
A. Natural Period. Natural Period Tn of a building is the time taken by it to undergo one complete cycle of oscillation. It is an inherent property of a building controlled by its mass m and stiffness k. These three quantities are related by its units are seconds (s).
What is natural time period and frequency?
The time period is the time taken by a complete cycle of the wave to pass a point, Frequency is the number of complete cycle of waves passing a point in unit time. Angular frequency is angular displacement of any element of the wave per unit time.
How do you find the time period of a structure?
As per the formula provided in IS code (IS 1893(part1):2002), the time period value obtained, . = 0.7475 sec Where h=height of the building in the model provided h=21.45m The above calculation is done manually just considering the overall height of the building.
What is time period of a building and its relation with frequency?
Period of building and its relation with frequency: The natural period of a building is simply a time taken by it to undergo one complete cycle of oscillation. The natural period is one of the properties or building which is controlled by mass and stiffness.
How does the height of a building help to estimate the fundamental time period?
The measured periods have been compared with the code provisions. It is found in the study that as the height of the building increases, natural period is not linearly proportional to height; rather it is becoming flexible. Keywords: Fundamental Period; Tall Building; Ambient Vibration; Earthquake Resistant Design.
What is the natural frequency of a building?
The natural frequency of a building is the frequency that the building sways in when it is returning to its original position after it has been excited.