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.buildinfo

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+# Sphinx build info version 1
+# This file hashes the configuration used when building these files. When it is not found, a full rebuild will be done.
+config: eb000645d520b3679621072411d9113c
+tags: 645f666f9bcd5a90fca523b33c5a78b7

_sources/bib.rst.txt

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+References
+==========
+
+.. [hodges1990mixed] D. H. Hodges. A mixed variational formulation based on exact intrinsic equations for dynamics of moving beams. International Journal of Solids and Structures, 26(11):1253-1273, 1990.
+
+

_sources/convention.rst.txt

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+Conventions
+===========
+
+
+

_sources/index.rst.txt

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+.. gebt documentation master file, created by
+   sphinx-quickstart on Wed Nov 20 10:02:56 2024.
+   You can adapt this file completely to your liking, but it should at least
+   contain the root `toctree` directive.
+
+GEBT
+==================
+
+GEBT (Geometrically Exact Beam Theory) is a code implementing the mixed variational formulation of the geometrically exact intrinsic beam theory developed by Prof. Hodges of Georgia Institute of Technology [hodges1990mixed]_, which captures all the geometrical nonlinearities obtainable by a beam model.
+It is a companion code of VABS, a general-purpose cross-sectional analysis tool, to enable efficient yet high-fidelity analysis of slender structures, whether they are made of composite materials or not.
+
+For effective design space explorations, we need to simplify the original nonlinear three-dimensional (3D) analysis of slender structures into a two-dimensional (2D) cross-sectional analysis and a one-dimensional (1D) nonlinear beam analysis.
+This has been achieved using VABS along with GEBT.
+VABS takes a finite element mesh of the cross-section including all the details of geometry and material as inputs to calculate the sectional properties including structural and inertial properties.
+These properties are needed for GEBT to predict the global behavior of the slender structure.
+The 3D pointwise displacement/strain/stress distribution within the structure can also be recovered by providing outputs from GEBT into VABS.
+
+
+
+
+Features
+--------
+
+GEBT adopts the mixed variational formulation of the geometrically exact beam theory of Prof. Hodges.
+It uses the lowest possible shape functions and the element matrices are calculated exactly without numerical integration.
+Since it is a mixed variational formulation, the complete set of variables can be directly calculated.
+For example, for static analysis, we can obtain three displacements, three rotations, three forces, and three moments.
+GEBT can treat an arbitrary assembly of beams made of arbitrary material and oriented arbitrarily in the 3D space.
+GEBT uses dynamic link libraries (DLLs) to encapsulate the analysis capability so that it has true plug-n-play capability which is convenient for integration into other environments.
+Now GEBT can be used both as a standalone application and a callable library.
+A GEBT manual for developers can be requested separately.
+
+
+
+
+Functionalities
+---------------
+
+The most recent version of GEBT, GEBT 4.0, has the following functionalities:
+
+1. Static, both linear and nonlinear, analysis of beam assemblies with straight and/or initially curved/twisted members under prescribed concentrated or distributed forces/moments or displacements/rotations.
+2. Static, both linear and nonlinear, analysis of beam assemblies with straight members and/or initially curved/twisted with linearly varying sectional properties.
+3. Static, nonlinear, analysis of beam assemblies with straight and/or initially curved/twisted members under prescribed distributed or concentrated follower forces/moments.
+4. Steady state of the dynamic response of beam assemblies with straight and/or initially curved/twisted members under prescribed distributed or concentrated dead or follower forces/moments.
+5. Transient dynamic response of beam assemblies with straight and/or initially curved/twisted members under prescribed distributed or concentrated dead or follower forces/moments.
+6. Sensitivities for the global beam responses for all the aforementioned analysis capabilities.
+
+
+.. toctree::
+   :maxdepth: 2
+   :caption: Contents:
+
+   convention
+   input
+   output
+   bib

_sources/input.rst.txt

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+Input Guide
+===========
+
+
+

_sources/output.rst.txt

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+Output Guide
+============
+
+
+