The fully intrinsic equations for beams comprise a relatively new set of equations for nonlinear modeling of structures comprised of beams. These equations are geometrically exact and constitute a closed set of equations even though they include neither displacement nor rotation variables. They do not suffer from the singularities and infinite-degree nonlinearities normally associated with finite rotation variables. In fact, they have a maximum degree of nonlinearity equal to 2. In spite of these and other advantages of these equations, using them for problems with certain boundary conditions may not be straightforward. This paper will examine the challenges of modeling various boundary conditions using fully intrinsic equations, thus helping future researchers to decide whether or not the fully intrinsic equations are suitable for solving a specific problem and elucidating pathways for their application to more general problems.
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Modeling Beams With Various Boundary Conditions Using Fully Intrinsic Equations
Zahra Sotoudeh,
Zahra Sotoudeh
Graduate Research Assistant
Daniel Guggenheim School of Aerospace Engineering,
Georgia Institute of Technology
, Atlanta, GA 30332-0150
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Dewey H. Hodges
Dewey H. Hodges
Professor
Mem. ASME
Daniel Guggenheim School of Aerospace Engineering,
Georgia Institute of Technology
, Atlanta, GA 30332-0150
Search for other works by this author on:
Zahra Sotoudeh
Graduate Research Assistant
Daniel Guggenheim School of Aerospace Engineering,
Georgia Institute of Technology
, Atlanta, GA 30332-0150
Dewey H. Hodges
Professor
Mem. ASME
Daniel Guggenheim School of Aerospace Engineering,
Georgia Institute of Technology
, Atlanta, GA 30332-0150J. Appl. Mech. May 2011, 78(3): 031010 (9 pages)
Published Online: February 15, 2011
Article history
Received:
October 12, 2010
Revised:
December 8, 2010
Posted:
December 13, 2010
Published:
February 15, 2011
Online:
February 15, 2011
Citation
Sotoudeh, Z., and Hodges, D. H. (February 15, 2011). "Modeling Beams With Various Boundary Conditions Using Fully Intrinsic Equations." ASME. J. Appl. Mech. May 2011; 78(3): 031010. https://doi.org/10.1115/1.4003239
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