STRING VIBRATION CALCULATOR
String vibration calculator was developed to calculate natural frequency of a string vibrating laterally under a tension T with both ends fixed.
The formulas used for string natural frequency calculations are given in the "List of
Equations" section.
Calculator:
Note: Use dot "." as decimal separator.
RESULTS 
Parameter 
Symbol 
Value 
Unit 
First natural frequency 
f_{1} 


Hz 
Second natural frequency 
f_{2} 


Third natural frequency 
f_{3} 


List of Equations:
Parameter/Condition 
Symbol 
Equation 
Natural frequency of
a string under a tension T with both
ends fixed and a uniform load w per unit length including own weight 
f 

Symbol 
Parameter 
K_{n} 
A constant where n refers to the mode of vibration.
Mode 1  K_{n} = π
Mode 2  K_{n} = 2π
Mode 3  K_{n} = 3π

T 
Tension 
l 
Length of the string 
w 
Uniform load 