Date of Award


Degree Name

Master of Science in Engineering


Mechanical and Aerospace Engineering

First Advisor

Dr. Koorosh Naghshineh

Second Advisor

Dr. Judah Ari-Gur

Third Advisor

Dr. Richard Meyer


Finite element modeling, vibrations, model analysis, simulation of metal form, dimpled beams

Access Setting

Masters Thesis-Open Access


Creating dimples on beams has been proven to be an effective way of altering their vibrational behavior. The objective of this research is to simulate the process of stamping using the finite element (FE) method to create a model of a dimpled beam. This dimple has non-uniform thickness, so it shows close agreement with its real-life counterpart.

ANSYS® Parametric Design Language (APDL) is used to build a three-dimensional (3-D) finite element model and simulate the process of stamping used to create the dimple. The structural simulation is validated by calculating the thickness and width of the deformed geometry of the FE beam and comparing these calculations to measurements of thickness and width made on an experimental dimpled beam. Further, natural frequencies of a beam with a single dimple, a beam with two dimples in the same direction, and a beam with two dimples in opposite directions are extracted for free-free boundary conditions from this FE model. They are then compared with results from the experimental modal analysis of beams with the same geometry and boundary conditions. This comparison yields an average accuracy of 0.71% for the FEA results, pointing to excellent agreement between both sets of data.

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Manufacturing Commons