Vibration Frequency Calculator

Natural Frequency: - Hz

Damped Frequency: - Hz

Resonant Frequency: - Hz

Understanding Vibration Frequency

Fundamentals of Vibration

Vibration is the periodic motion of a mechanical system about an equilibrium position.

Natural Frequency (fn) = (1/2π)√(k/m)

Damped Frequency (fd) = fn√(1 - ζ²)

Damping Ratio (ζ) = c/2√(km)

where:

  • k = spring stiffness
  • m = mass
  • c = damping coefficient
  • ζ = damping ratio

Advanced Vibration Concepts

  • Simple Harmonic Motion
  • Damped Vibration
  • Forced Vibration
  • Resonance
  • Mode Shapes
  • Critical Damping
  • Frequency Response
  • Phase Angle
  • Transmissibility
  • Modal Analysis
  • Random Vibration
  • Shock Response

Applications and Analysis

Structural Analysis

Building dynamics

Machinery

Rotating equipment

Automotive

Suspension systems

Aerospace

Flutter analysis

Seismic Design

Earthquake response

Acoustics

Sound transmission