Floor System Frequency Of Vibration Calculation

If more flexibility is needed air springs are used.
Floor system frequency of vibration calculation. For best results the frequency should be 15 hz or higher. At first glance the criteria might look a bit formidable it certainly is different than the older criteria. Supporting the floor system also af fects the natural frequency of the floor system. People are often annoyed by and are very sensitive to vibrations in the 8 10 hz range.
The system has a fundamental frequency which corresponds to the first lowest mode of vibration. The simple spandeflection ag of the floor girder may be calculated in the same manner as a. For floor vibrations to be acceptable the peak acceleration of the floor system which is a function of the floor system s natural frequency damping and effective weight must be less than or equal to the recommended acceleration which is equal to 0 5 percent of the acceleration of gravity for office and residential occupancies. Coil spring isolators are available in up to 3 static deflection.
Try this test for each type of excitation. Modal mass m mod each mode of a system with several degrees of freedom can be represented by a system with generalised mass a single degree of freedom. Design for sensitive equipment. 6 floor vibration continuous systems a beam has a mass stiffness and boundary conditions at the supports that define its behaviour.
Unlike the sdof system which has a single natural frequency and corresponding mode of vibration a continuous system theoretically has an infinite number of natural frequencies and associated modes. Floor systems and footbridges for vibration serviceability due to human activities. Where f is the natural frequency of the considered mode k mod is the modal stiffness m. The natural frequency of the system assuming a single degree of freedom can be calculated by.
P o is 65 lb for office. Both human comfort and the need to. This calculator gives the fundamental vibration frequency of a floor joist girder and the combined floor system. Require the calculation of the first natural frequency of the floor system and the maximum amplitude of acceleration.
In reality only f n and w require calculations. Hz 1 3 13 2 1 2 1 2 1 g w kg. A beam may be thought of as a series of mass spring models joined together to form a continuous system. The additional benefit of making it easy to calculate the system natural frequency.
If the forcing frequency is close to the natural frequency of the system and the system is lightly damped huge vibration amplitudes may occur. Watch what the system is doing. Damping by furniture and finishing e g. False floor l spread of energy throughout the whole structure.
In this mode the vibration reaches maximum amplitude in one position an antinode at mid span of the beam.