Dunkerley’s Method for Beam Vibration Calculator

This template uses Dunkerley's method to approximate the natural frequency of a system by considering the natural frequencies of its component parts. 
CalculationInputs﻿﻿f1
:100.0Hz​
﻿
﻿﻿f2
:90.0Hz​
﻿
Output﻿﻿f
:66.9Hz​
﻿
﻿
1f2=1f12+1f22\dfrac{1}{f^2} = \dfrac{1}{f_1^2}+ \dfrac{1}{f_2^2}f21​=f12​1​+f22​1​
Where:
﻿﻿f1​
 is the natural frequency of a beam without added mass (﻿Hz
)﻿
﻿﻿f2​
 is the natural frequency of a weightless beam with added mass (﻿Hz
)﻿
﻿﻿f
 is the approximate natural frequency (﻿Hz
)﻿
ExplanationDunkerley’s method is an approximation technique that considers the effects of added mass on the natural frequency of a system. It provides a simple yet effective way to estimate the natural frequency of beams and structures.
﻿
Dunkerley's method to approximate the fundamental frequency of a beam with a mass M by considering the natural frequency of its component parts. 
This template is particularly useful in scenarios such as:
Predicting and avoiding resonant frequencies in mechanical systems and structures
Automotive and aerospace industries for assessing the vibrational characteristics of components
Material science for understanding how different materials behave under vibrational forces
ReferencesRao, S. S. (2017). Mechanical Vibrations (6th ed.). Pearson.
Inman, D. J. (2013). Engineering Vibration (4th ed.). Pearson.
Meirovitch, L. (2010). Fundamentals of Vibrations. McGraw-Hill Education.
Related ResourcesBeam Analysis Calculators
Beam Analysis Tool
Longitudinal Vibration of Rods Calculator
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