Free-free beam

FFbeam.m script computes Free-free end beam mode shapes and natural frequencies

% HELP: This script computes mode shapes and corresponding natural
% frequencies of the free-free beam by a user specified mechanical
% properties and geometry size of the beam by using Euler-Bernoulli beam
% theory.
% Prepare the followings:
% - Material properties of the beam, viz. density (Ro), Young's modulus (E)
% - Specify a cross section of the beam, viz. square,rectangular, circular
% - Geometry parameters of the beam, viz. Length, width, thickness
% -