Details
| Original language | English |
|---|---|
| Article number | 106310 |
| Journal | Thin-walled structures |
| Volume | 144 |
| Early online date | 23 Jul 2019 |
| Publication status | Published - Nov 2019 |
Abstract
A complex structural system can be described by a collection of individual rigid and/or flexible components in combination with a set of kinematic constraints. Moreover, their configuration can be described by redundant coordinates yielding to singular system matrices. Therefore, the calculation of frequencies and modes using a classical modal analysis is not longer applicable. In this work, we propose a variational-consistent framework, which is able to deal with structural systems with singular matrices and relies on a null-space projection. Finally, the effectivity of the proposed framework is tested succesfully by complex examples (single- and multibody systems) containing rigid bodies, geometrically exact beams and solid-degenerate shells.
Keywords
- Beam and shell structures, Efficient implementation, Modal analysis, Null space projection, Rigid bodies, Singular matrices, Variational consistency
ASJC Scopus subject areas
- Engineering(all)
- Civil and Structural Engineering
- Engineering(all)
- Building and Construction
- Engineering(all)
- Mechanical Engineering
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: Thin-walled structures, Vol. 144, 106310, 11.2019.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - On the modal analysis of nonlinear beam and shell structures with singular mass and stiffness matrices
AU - Hente, Christian
AU - Gebhardt, Cristian Guillermo
AU - Pache, Dorian
AU - Rolfes, Raimund
N1 - Funding information: This study has been carried out within the ForWind joint research project “ventus efficiens - joint research for the efficiency of wind energy converters within the energy supply system” ( FKZ ZN3024 ), financially supported by the Ministry for Science and Culture of Lower Saxony, Germany.
PY - 2019/11
Y1 - 2019/11
N2 - A complex structural system can be described by a collection of individual rigid and/or flexible components in combination with a set of kinematic constraints. Moreover, their configuration can be described by redundant coordinates yielding to singular system matrices. Therefore, the calculation of frequencies and modes using a classical modal analysis is not longer applicable. In this work, we propose a variational-consistent framework, which is able to deal with structural systems with singular matrices and relies on a null-space projection. Finally, the effectivity of the proposed framework is tested succesfully by complex examples (single- and multibody systems) containing rigid bodies, geometrically exact beams and solid-degenerate shells.
AB - A complex structural system can be described by a collection of individual rigid and/or flexible components in combination with a set of kinematic constraints. Moreover, their configuration can be described by redundant coordinates yielding to singular system matrices. Therefore, the calculation of frequencies and modes using a classical modal analysis is not longer applicable. In this work, we propose a variational-consistent framework, which is able to deal with structural systems with singular matrices and relies on a null-space projection. Finally, the effectivity of the proposed framework is tested succesfully by complex examples (single- and multibody systems) containing rigid bodies, geometrically exact beams and solid-degenerate shells.
KW - Beam and shell structures
KW - Efficient implementation
KW - Modal analysis
KW - Null space projection
KW - Rigid bodies
KW - Singular matrices
KW - Variational consistency
UR - http://www.scopus.com/inward/record.url?scp=85069712617&partnerID=8YFLogxK
U2 - 10.1016/j.tws.2019.106310
DO - 10.1016/j.tws.2019.106310
M3 - Article
AN - SCOPUS:85069712617
VL - 144
JO - Thin-walled structures
JF - Thin-walled structures
SN - 0263-8231
M1 - 106310
ER -