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Concept explainers
The steady state amplitude of motion of the mass.
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Answer to Problem 13.1P
The steady state amplitude of motion of the mass is
Explanation of Solution
Given:
Concept Used:
Displacement transmissibility.
Calculation:
The equation of motion of mass is given as:
Where,
Substitute the value in the equation,
We get,
Natural frequency is given as
Frequency ratio is given as:
Squaring both sides, we get,
Displacement transmissibility for base excitation is given as:
Steady state amplitude of motion of
Neglect the damping,
Replace the value of
Substitute
Conclusion:
The steady state amplitude of motion of the mass is
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Chapter 13 Solutions
System Dynamics
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