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Efficient Modeling of a Flexible Beam in Dymola using Coupled Substructures in a Floating Frame of Reference Formulation

Ericsson, Anders LU and Kjellander, Anton LU (2015) FME820 20152
Mechanics
Abstract
In this Master Thesis a three dimensional Euler-Bernoulli beam model was implemented in the simulation software Dymola. The beam model is based on the Floating Frame of Reference formulation combined with the Craig-Bampton method. The theory is developed with the scope to capture the dynamic and static responses of a beam model in a compact and computer efficient implementation.
The Thesis includes derivation of kinematic description, mass matrix, stiffness matrix and force vectors of an Euler-Bernoulli beam in three-dimensional space. Two one-dimensional models have been derived as well. The implementation in Dymola is described together with validation of the model, discussion and conclusions.
The validation of the model shows great... (More)
In this Master Thesis a three dimensional Euler-Bernoulli beam model was implemented in the simulation software Dymola. The beam model is based on the Floating Frame of Reference formulation combined with the Craig-Bampton method. The theory is developed with the scope to capture the dynamic and static responses of a beam model in a compact and computer efficient implementation.
The Thesis includes derivation of kinematic description, mass matrix, stiffness matrix and force vectors of an Euler-Bernoulli beam in three-dimensional space. Two one-dimensional models have been derived as well. The implementation in Dymola is described together with validation of the model, discussion and conclusions.
The validation of the model shows great accuracy in static loading both in elongation, torsion and bending. Excitation of eigenfrequencies is possible but the results slightly differs from the analytical solutions. Dynamic tests of the beam model shows realistic responses but further testing on this subject is recommended. Compatibility with other components in Dymola works fine. However there are some minor issues that should be solved to enhance the efficiency. Overall the static and dynamic responses of the beam model works sufficiently well. (Less)
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author
Ericsson, Anders LU and Kjellander, Anton LU
supervisor
organization
alternative title
Flexible Beams in Dymola
course
FME820 20152
year
type
H2 - Master's Degree (Two Years)
subject
keywords
Euler Bernoulli Beam Theory, Floating Frame of Reference Formulation, Craig-Bampton Method, Flexible Bodies, Dymola, Modelica
language
English
id
8046456
date added to LUP
2015-10-16 16:27:28
date last changed
2015-10-16 16:27:28
@misc{8046456,
  abstract     = {In this Master Thesis a three dimensional Euler-Bernoulli beam model was implemented in the simulation software Dymola. The beam model is based on the Floating Frame of Reference formulation combined with the Craig-Bampton method. The theory is developed with the scope to capture the dynamic and static responses of a beam model in a compact and computer efficient implementation.
The Thesis includes derivation of kinematic description, mass matrix, stiffness matrix and force vectors of an Euler-Bernoulli beam in three-dimensional space. Two one-dimensional models have been derived as well. The implementation in Dymola is described together with validation of the model, discussion and conclusions.
The validation of the model shows great accuracy in static loading both in elongation, torsion and bending. Excitation of eigenfrequencies is possible but the results slightly differs from the analytical solutions. Dynamic tests of the beam model shows realistic responses but further testing on this subject is recommended. Compatibility with other components in Dymola works fine. However there are some minor issues that should be solved to enhance the efficiency. Overall the static and dynamic responses of the beam model works sufficiently well.},
  author       = {Ericsson, Anders and Kjellander, Anton},
  keyword      = {Euler Bernoulli Beam Theory,Floating Frame of Reference Formulation,Craig-Bampton Method,Flexible Bodies,Dymola,Modelica},
  language     = {eng},
  note         = {Student Paper},
  title        = {Efficient Modeling of a Flexible Beam in Dymola using Coupled Substructures in a Floating Frame of Reference Formulation},
  year         = {2015},
}