Date of Award
Summer 1996
Document Type
Thesis
Degree Name
Master of Science (MS)
Department
Mechanical & Aerospace Engineering
Program/Concentration
Mechanical Engineering
Committee Director
Norman F. Knight, Jr.
Committee Member
Chuh Mei
Committee Member
Mark S. Lake
Call Number for Print
Special Collections; LD4331.E56 K438
Abstract
A deterministic methodology is presented for developing closed-form deflection equations for two-dimensional and three-dimensional lattice structures. Four types of lattice structures are studied: beams, plates, shells and soft lattices. Castigliano's second theorem, which entails the total strain energy of a structure, is utilized to generate highly accurate results. Derived deflection equations provide new insight into the bending and shear behavior of the four types of lattices, in contrast to classic solutions of similar structures. Lattice derivations utilizing kinetic energy are also presented, and used to examine the free vibration response of simple lattice structures. Derivations utilizing finite element theory for unique lattice behavior are also presented and validated using the finite element analysis code EAL.
Rights
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DOI
10.25777/m22r-3285
Recommended Citation
Kenner, Winfred S..
"Lattice Truss Structural Response Using Energy Methods"
(1996). Master of Science (MS), Thesis, Mechanical & Aerospace Engineering, Old Dominion University, DOI: 10.25777/m22r-3285
https://digitalcommons.odu.edu/mae_etds/571