Document Type
Thesis
Date of Degree Completion
Winter 2012
Degree Name
Bachelor of Science
Committee Chair
Dr. Andrew Piacsek, Physics Department
Second Committee Member
Dr. Michael Jackson, Physics Department
Third Committee Member
Dr. Audrey D. Huerta, Director Science Honors Research Program
Abstract
Three-dimensional finite-element modeling of the resonance behavior of thin spherical shells is done with the COMSOL multi-physics software package and comparisons are made with experimental data and theoretical predictions. Computational models of the sell in vacuo, and with water inside, are tested. Results in vacuo show a 1% agreement in the very thin shell (h/R=1/250, for thickness h and radius R). Three experimentally measured resonance frequencies below 8500 Hz of the water filled shell are predicted computationally to within 25 Hz. Other spectral similarities and discrepancies are discussed qualitatively. The data suggests that the COMSOL finite element method includes the effects of rotary inertias and transverse shears. Future applications of the COMSOL modeling approach include the computation of changes in resonance frequencies due to an increase in the shell's interior pressure, which may lead to noninvasive method for monitoring human intracranial pressure.
Recommended Citation
Abdul-Wahid, Sami, "A Computational Study of the Vibrational Behavior of Fluid-Filled Spherical Thin Shells" (2012). Undergraduate Honors Theses. 55.
https://digitalcommons.cwu.edu/undergrad_hontheses/55
Comments
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