Beam Bending, Finite Element Analysis

Here is a paper which gives a derivation of the mass and stiffness matrices for beam bending: beam_FEM.pdf

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Here is a Matlab script for the modal analysis of a straight beam. beam.zip

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Here is Matlab script for the modal analysis of a rotating beam such as a helicopter blade: beam_rotating.zip

Here is a paper: Beam_FEM_rotating.pdf

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Here is a Matlab script for the beam bending response to base excitation: beam_base_accel_fea.zip

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See also:

Dynamic Response to Enforced Motion

Beam Bending Natural Frequencies & Mode Shapes

– Tom Irvine