Dynamic Analysis Cantilever Beam Matlab Code Link Info

The theoretical foundation for this analysis lies in the Euler-Bernoulli beam theory. The partial differential equation governing the transverse vibration ( w(x,t) ) of a uniform beam is ( EI \frac\partial^4 w\partial x^4 + \rho A \frac\partial^2 w\partial t^2 = f(x,t) ), where ( EI ) is the flexural rigidity, ( \rho ) is density, and ( A ) is the cross-sectional area. For a cantilever beam, the boundary conditions are zero displacement and zero slope at the fixed end (( x=0 )), and zero bending moment and zero shear force at the free end (( x=L )). Solving this equation analytically yields an infinite set of natural frequencies and mode shapes. However, real-world engineering requires a finite, computable solution, which is where MATLAB's numerical capabilities become invaluable.

Now it’s your turn: modify the code, test with your own beam parameters, and explore the rich dynamics of cantilevers! Dynamic Analysis Cantilever Beam Matlab Code