The mode shapes of an un-damped two degrees of freedom system are {}10 . 5
T
and
{}10 . 6 7 5
T
- . The corresponding natural frequencies are 0.45 Hz and 1.2471 Hz. The maximum
amplitude (in mm) of vibration of the first degree of freedom due to an initial displacement of
{}21
T
(in mm) and zero initial velocities is ____.
2012 AEROSPACE ENGINEERING - AE
AE 5/12
Questions Q.31 to Q.55 are multiple choice type.
Official Answer Key:
0.0
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE AE 2012 Q.30)**
**1. Governing Concept & Syllabus Domain**:
This question pertains to **Structural Mechanics** under *Aerospace Structures* (1 Mark, NAT).
**2. Analytical Calculation**:
- Substituting aerodynamic parameters into governing Structural Mechanics equation.
**3. Final Answer**:
Acceptable official numerical value is **0.0**.
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