Details
| Original language | English |
|---|---|
| Pages (from-to) | 219-252 |
| Number of pages | 34 |
| Journal | Computational mechanics |
| Volume | 63 |
| Issue number | 2 |
| Early online date | 2 Jul 2018 |
| Publication status | Published - 15 Feb 2019 |
Abstract
With this work, we present a new object-oriented framework to study the nonlinear dynamics of slender structures made of composite multilayer and hyperelastic materials, which combines finite element method and multibody system formalism with a robust integration scheme. Each mechanical system under consideration is represented as a collection of infinitely stiff components, such as rigid bodies, and flexible components like geometrically exact beams and solid-degenerate shells, which are spatially discretized into finite elements. The semi-discrete equations are temporally discretized for a fixed time increment with a momentum-preserving, energy-preserving/dissipative method, which allows the systematic annihilation of unresolved high-frequency content. As usual in multibody system dynamics, kinematic constraints are employed to render supports, joints and structural connections. The presented ideas are implemented following the object-oriented programming philosophy. The approach, which is perfectly suitable for wind energy or aeronautic applications, is finally tested and its potential is illustrated by means of numerical examples.
Keywords
- Finite elements, Multibody systems, Nonlinear dynamics of slender structures, Object-oriented programming, Robust integration
ASJC Scopus subject areas
- Engineering(all)
- Computational Mechanics
- Engineering(all)
- Ocean Engineering
- Engineering(all)
- Mechanical Engineering
- Computer Science(all)
- Computational Theory and Mathematics
- Mathematics(all)
- Computational Mathematics
- Mathematics(all)
- Applied Mathematics
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: Computational mechanics, Vol. 63, No. 2, 15.02.2019, p. 219-252.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Nonlinear dynamics of slender structures
T2 - A new object-oriented framework
AU - Gebhardt, Cristian Guillermo
AU - Hofmeister, Benedikt
AU - Hente, Christian
AU - Rolfes, Raimund
N1 - Funding Information: Acknowledgements We greatly acknowledge the financial support of the Lower Saxony Ministry of Science and Culture (research Project ventus efficiens, FKZ ZN3024) and the German Federal Ministry for Economic Affairs and Energy (research Project Deutsche Forschungsplattform für Windenergie, FKZ 0325936E) that enabled this work. We also thank the reviewers for their valuable comments.
PY - 2019/2/15
Y1 - 2019/2/15
N2 - With this work, we present a new object-oriented framework to study the nonlinear dynamics of slender structures made of composite multilayer and hyperelastic materials, which combines finite element method and multibody system formalism with a robust integration scheme. Each mechanical system under consideration is represented as a collection of infinitely stiff components, such as rigid bodies, and flexible components like geometrically exact beams and solid-degenerate shells, which are spatially discretized into finite elements. The semi-discrete equations are temporally discretized for a fixed time increment with a momentum-preserving, energy-preserving/dissipative method, which allows the systematic annihilation of unresolved high-frequency content. As usual in multibody system dynamics, kinematic constraints are employed to render supports, joints and structural connections. The presented ideas are implemented following the object-oriented programming philosophy. The approach, which is perfectly suitable for wind energy or aeronautic applications, is finally tested and its potential is illustrated by means of numerical examples.
AB - With this work, we present a new object-oriented framework to study the nonlinear dynamics of slender structures made of composite multilayer and hyperelastic materials, which combines finite element method and multibody system formalism with a robust integration scheme. Each mechanical system under consideration is represented as a collection of infinitely stiff components, such as rigid bodies, and flexible components like geometrically exact beams and solid-degenerate shells, which are spatially discretized into finite elements. The semi-discrete equations are temporally discretized for a fixed time increment with a momentum-preserving, energy-preserving/dissipative method, which allows the systematic annihilation of unresolved high-frequency content. As usual in multibody system dynamics, kinematic constraints are employed to render supports, joints and structural connections. The presented ideas are implemented following the object-oriented programming philosophy. The approach, which is perfectly suitable for wind energy or aeronautic applications, is finally tested and its potential is illustrated by means of numerical examples.
KW - Finite elements
KW - Multibody systems
KW - Nonlinear dynamics of slender structures
KW - Object-oriented programming
KW - Robust integration
UR - http://www.scopus.com/inward/record.url?scp=85049586955&partnerID=8YFLogxK
U2 - 10.1007/s00466-018-1592-7
DO - 10.1007/s00466-018-1592-7
M3 - Article
VL - 63
SP - 219
EP - 252
JO - Computational mechanics
JF - Computational mechanics
SN - 0178-7675
IS - 2
ER -