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The ratio of maximum displacement of forced vibration to the deflection due to the static force is known as
- a)Magnification factor
- b)Transmissibility
- c)Logarithmic decrement
- d)Amplitude of vibration
Correct answer is option 'A'. Can you explain this answer?
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The ratio of maximum displacement of forced vibration to the deflectio...
Magnification factor
The magnification factor is a dimensionless quantity that is used to determine the ratio of the maximum displacement of forced vibration to the deflection due to the static force. It is also known as the amplitude ratio or the dynamic magnification factor.
Formula
The formula for calculating the magnification factor is as follows:
Magnification factor = Maximum displacement due to forced vibration / Deflection due to static force
Significance
The magnification factor is an important parameter in the study of forced vibrations. It indicates the degree to which the amplitude of the vibration is amplified due to the application of an external force. A high magnification factor indicates that even a small external force can cause large amplitude vibrations, while a low magnification factor indicates that the amplitude of the vibration is relatively insensitive to external forces.
Applications
The magnification factor is used in the design and analysis of mechanical systems that are subjected to external forces. It helps engineers to determine the extent to which a system is likely to vibrate under different conditions, and to design the system in such a way as to minimize the effects of these vibrations.
In addition, the magnification factor is used in the analysis of structures such as bridges, buildings, and other large-scale structures. By understanding the magnification factor, engineers can design structures that are more resistant to vibrations caused by external forces such as wind, earthquakes, and other natural phenomena.
Conclusion
The magnification factor is an important parameter in the study of forced vibrations. It is used to determine the degree to which the amplitude of the vibration is amplified due to the application of an external force. By understanding the magnification factor, engineers can design mechanical systems and structures that are more resistant to vibrations caused by external forces.
The magnification factor is a dimensionless quantity that is used to determine the ratio of the maximum displacement of forced vibration to the deflection due to the static force. It is also known as the amplitude ratio or the dynamic magnification factor.
Formula
The formula for calculating the magnification factor is as follows:
Magnification factor = Maximum displacement due to forced vibration / Deflection due to static force
Significance
The magnification factor is an important parameter in the study of forced vibrations. It indicates the degree to which the amplitude of the vibration is amplified due to the application of an external force. A high magnification factor indicates that even a small external force can cause large amplitude vibrations, while a low magnification factor indicates that the amplitude of the vibration is relatively insensitive to external forces.
Applications
The magnification factor is used in the design and analysis of mechanical systems that are subjected to external forces. It helps engineers to determine the extent to which a system is likely to vibrate under different conditions, and to design the system in such a way as to minimize the effects of these vibrations.
In addition, the magnification factor is used in the analysis of structures such as bridges, buildings, and other large-scale structures. By understanding the magnification factor, engineers can design structures that are more resistant to vibrations caused by external forces such as wind, earthquakes, and other natural phenomena.
Conclusion
The magnification factor is an important parameter in the study of forced vibrations. It is used to determine the degree to which the amplitude of the vibration is amplified due to the application of an external force. By understanding the magnification factor, engineers can design mechanical systems and structures that are more resistant to vibrations caused by external forces.
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The ratio of maximum displacement of forced vibration to the deflection due to the static force is known asa)Magnification factorb)Transmissibilityc)Logarithmic decrementd)Amplitude of vibrationCorrect answer is option 'A'. Can you explain this answer?
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