Vibration Frequency Calculator
Calculate natural vibration frequency based on mass and stiffness. Essential tool for mechanical engineering, structural analysis, and vibration control.
Understanding Vibration Frequency Calculations
Vibration frequency calculations are fundamental in mechanical engineering for analyzing oscillatory systems, predicting resonance, and designing vibration control systems.
Natural Frequency
The natural frequency is the frequency at which a system oscillates when not subjected to external forces. It depends only on the system's mass and stiffness properties.
Natural Frequency = (1/2π) × √(Stiffness/Mass)
System Parameters
Mass represents the inertia of the system, while stiffness represents the system's resistance to deformation. These two parameters completely determine the natural frequency.
Higher stiffness increases frequency, while higher mass decreases frequency. This relationship is fundamental to vibration analysis.
Common Applications
Mechanical Systems
Design of springs, dampers, and mechanical oscillators. Critical for avoiding resonance in rotating machinery and ensuring proper dynamic response.
Structural Engineering
Analysis of building and bridge vibrations, earthquake response, and dynamic loading. Essential for structural safety and comfort.