Natural Frequency Validation of a Homogenized Model of a Truss (original) (raw)

Abstract

The experimental and analytical results for the natural frequencies of a planar truss structure are presented. Continuum modeling approach is used to find the analytical natural frequencies. Kinetic and potential energy expressions are written in terms of the strain components of the elements and the nodal velocities. The Lagrangian approach is employed to find the governing partial differential equations of motion. The equations shown are partial differential equations (PDE) in which the three coordinates of vibration in longitudinal, bending and rotation of the cross section are coupled. Natural frequencies are estimated by solving the governing PDE. The experimental natural frequencies are found to validate the results from the theory. The analytical and experimental results are in good agreement.

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