Bifurcation analysis of a doubly curved thin shell considering inertial effects

Rudorf, M; Oberst, S; Stender, M; Hoffmann, N

Bifurcation analysis of a doubly curved thin shell considering inertial effects

Rudorf, M Oberst, S

Stender, M Hoffmann, N

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Publisher:: Springer International Publishing
Publication Type:: Chapter
Citation:: Vibration Engineering for a Sustainable Future: Numerical and Analytical Methods to Study Dynamical Systems, 2021, 3
Issue Date:: 2021

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Field	Value	Language
dc.contributor.author	Rudorf, M
dc.contributor.author	Oberst, S https://orcid.org/0000-0002-1388-2749
dc.contributor.author	Stender, M
dc.contributor.author	Hoffmann, N
dc.date.accessioned	2021-01-12T22:04:06Z
dc.date.available	2021-01-12T22:04:06Z
dc.date.issued	2021
dc.identifier.citation	Vibration Engineering for a Sustainable Future: Numerical and Analytical Methods to Study Dynamical Systems, 2021, 3
dc.identifier.isbn	978-3-030-46465-3
dc.identifier.uri	http://hdl.handle.net/10453/145349
dc.description.abstract	Thin-elastic structures can be found in nature as well as in many technical applications, including plant material (leaves) or insect appendages (wings) and aircraft outer bodies, optical mirrors and membranes, solar panels or satellite antennas. Numerical modelling of those structures is commonly conducted using shell elements. Especially doubly curved shells have found much attention due to their applicability in thin shell or sandwich structures used in the automotive, aerospace and space industry. In the design process it is generally assumed that these structures behave linearly, however, considering their curvature and how thin they are, large deflections easily become an issue as shown experimentally. Yet, the numerical modelling does conventionally assume that inertia e ffects can be neglected. Here we derive the equations of motion of a simply supported configuration of a doubly curved shell with 9 degrees of freedom with and without inertial coupling terms. We show by conducting a bifurcation analysis that the additional inertia e ects cannot be neglected and that care has to be taken when structures as such are being employed as appendages on real-life satellites.
dc.language	en
dc.publisher	Springer International Publishing
dc.relation.ispartof	Vibration Engineering for a Sustainable Future: Numerical and Analytical Methods to Study Dynamical Systems
dc.relation.isbasedon	10.1007/978-3-030-46466-0
dc.rights	info:eu-repo/semantics/closedAccess
dc.title	Bifurcation analysis of a doubly curved thin shell considering inertial effects
dc.type	Chapter
utslib.citation.volume	3
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney
utslib.copyright.status	closed_access	*
pubs.consider-herdc	true
dc.date.updated	2021-01-12T22:03:57Z
pubs.place-of-publication	Switzerland
pubs.publication-status	Accepted
pubs.volume	3
dc.location	Switzerland

Abstract:

Thin-elastic structures can be found in nature as well as in many technical applications, including plant material (leaves) or insect appendages (wings) and aircraft outer bodies, optical mirrors and membranes, solar panels or satellite antennas. Numerical modelling of those structures is commonly conducted using shell elements. Especially doubly curved shells have found much attention due to their applicability in thin shell or sandwich structures used in the automotive, aerospace and space industry. In the design process it is generally assumed that these structures behave linearly, however, considering their curvature and how thin they are, large deflections easily become an issue as shown experimentally. Yet, the numerical modelling does conventionally assume that inertia e ffects can be neglected. Here we derive the equations of motion of a simply supported configuration of a doubly curved shell with 9 degrees of freedom with and without inertial coupling terms. We show by conducting a bifurcation analysis that the additional inertia e ects cannot be neglected and that care has to be taken when structures as such are being employed as appendages on real-life satellites.

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http://hdl.handle.net/10453/145349