presentation on magnification factor, phase difference and transmissibility in mechanical vibration

important topic in design of machine elements.

1. GANDHINAGAR INSTITUTE OF TECHNOLOGY DYNAMICS OF MACHINES ACTIVE LEARNING ASSIGNMENT MAGNIFICATION FACTOR, PHASE DIFFERENCE & TRANSMISSIBILTY PREPARED BY VADI RAKSHIT D (150123119055) MECHANICAL 6 D3

2. Contents 3/6/2017 DOM/ALA/6D3 2 Magnification factor. Vibration transmissibility. Phase difference.

3. Magnification factor 3/6/2017 DOM/ALA/6D3 3 It is the ratio of maximum displacement of the forced vibration ( X max ) to the deflection due to the static force F(Xo ).

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6. Vibration transmissibility 3/6/2017 DOM/ALA/6D3 6 The transmission of the vibration can be specified by one of the following terms: Force transmissibility. Motion transmissibility.

7. Force transmissibility 3/6/2017 DOM/ALA/6D3 7 it is defined as the ratio of the force transmitted to the supporting structure or foundation. Ft to that force impressed upon the system Fo . It is denoted by Tr. Force transmissibility measures the effectiveness of the vibration isolating system.  

8. Motion transmissibility 3/6/2017 DOM/ALA/6D3 8 Motion transmissibility, in case of forced vibration due to excitation of the support, is defined as ratio of absolute amplitude of the mass to the amplitude of the base excitation. Where, X= A bsolute amplitude of the mass. Y= Amplitude of the base excitation.  

9. Phase difference 3/6/2017 DOM/ALA/6D3 9 Here we can take cosine wave as our reference. The sine wave can be described to ahead of cosine wave by This means there is phase difference of The phase difference is the difference between the phases at two different point at given time. Oscillation can have any phase difference in the multiple of ∏. However if they have the phase difference of 0 or they are said to be in phase.  

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