22The normalized displacement for the forced vibration of a damped single degree offreedom system for r=1 and = 0.5 isa. The normalized displacement = 4b. The normalized displacement = 40c. The normalized displacement = 1.1d. The normalized displacement = 0.5

The normalized displacement represents mode shapes in a model analysis where the peak amplitude is normalized to a value of 1. It is defined as, M=12ζ1-ζ212Re-write the above equation and substitute the given values on it, M=12ζ1-ζ212=120.51-0.5212=11.01-0.2512=11.00.7512=10.867M≃1.1 Hence, (c) is the correct option.

Answered: 22 The normalized displacement for the…

22 The normalized displacement for the forced vibration of a damped single degree of freedom system for r=1 and = 0.5 is a. The normalized displacement = 4 b. The normalized displacement = 40 c. The normalized displacement = 1.1 %3D d. The normalized displacement = 0.5