GATE_AE_2027_MOCK_01_Q34 GATE 2027 Aerospace Engineering All-India Master Mock 01 (Foundation & Standard Core Calibration) MCQ · 1 Mark
Aerospace Structures • Structural Dynamics & Aeroelasticity • Torsional Vibration of Wings

Static aeroelastic torsional divergence of a straight wing occurs when:

(A) Aerodynamic pitching moment rate with twist equals or exceeds torsional structural restoring stiffness
(B) Bending natural frequency equals torsional natural frequency
(C) Flight Mach number equals unity
(D) Damping ratio of the Phugoid mode reaches zero
Answer Key:
A

Step-by-Step Verified Solution

### Solution: Torsional divergence is a static instability that occurs at divergence speed $V_D$ when the aerodynamic twist moment gradient overcomes the structural torsional stiffness. Correct: A.
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