Hi(adsbygoogle = window.adsbygoogle || []).push({});

In the article: "Beam to String Transition of Vibrating Carbon Nanotubes Under Axial Tension" I have found an equation that describes the resonance frequency of a beam under axial tension.

However, I have some problem solving it.

The equation looks like this:

x + y*Sinh[y + Sqrt[y^2 + x^2]]^0.5*Sin[-y + Sqrt[y^2 + x^2]]^0.5 -

x*Cosh[y + Sqrt[y^2 + x^2]]^0.5*Cos[-y + Sqrt[y^2 + x^2]]^0.5 = 0

x is the dimensionless natural frequency and y is the dimensionless natural frequency parameter.

I want to find the x for different y.

I have tried to solve this equation i Mathematica but without much success.

Can anyone help me?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# How do I solve this equation?

**Physics Forums | Science Articles, Homework Help, Discussion**