Vibrations Topics - GATE ME Syllabus

1

Undamped and damped natural frequency.

1m3/10

📌 Key Formulaω_n = √(k/m), δ = 2πζ / √(1-ζ²)

2

Response to harmonic excitation.

1m4/10

📌 Key FormulaMagnification factor 1/√((1-r²)² + (2ζr)²)

3

Viscous damping influence on amplitude and phase.

1m4/10

📌 Key FormulaDamping ratio ζ = c/(2√(km))

4

Transmissibility and isolation efficiency.

1m3/10

📌 Key FormulaTR = |1 / (1 - r²)| for undamped

5

Condition when excitation frequency matches natural.

1m3/10

📌 Key Formulaω = ω_n

6

Whirling speeds where deflection amplifies.

1m4/10

📌 Key Formulaω_cr = √(g/δ_st)