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:

Natural frequency of string under tension
 INPUT PARAMETERS
Parameter Symbol Value Unit
Tension T
Beam length L
Uniform load per unit length w

Note: Use dot "." as decimal separator.

 


 RESULTS
Parameter Symbol Value Unit
First natural frequency f1 --- Hz
Second natural frequency f2 ---
Third natural frequency f3 ---


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 Equation for natural frequency of a string under tension

Symbol Parameter
Kn A constant where n refers to the mode of vibration.
Mode 1 - Kn = π
Mode 2 - Kn = 2π
Mode 3 - Kn = 3π
T Tension
l Length of the string
w Uniform load

Reference: