Nonlinear dynamic stability analysis of imperfect architected cellular sandwich plate under impact loading

Li, Q; Tian, W; Wu, D; Gao, W

Nonlinear dynamic stability analysis of imperfect architected cellular sandwich plate under impact loading

Li, Q Tian, W Wu, D

Gao, W

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Publisher:: Springer Nature
Publication Type:: Journal Article
Citation:: Acta Mechanica Sinica/Lixue Xuebao, 2023, 39, (4), pp. 722333
Issue Date:: 2023-04-01

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Field	Value	Language
dc.contributor.author	Li, Q
dc.contributor.author	Tian, W
dc.contributor.author	Wu, D https://orcid.org/0000-0002-7284-5024
dc.contributor.author	Gao, W
dc.date.accessioned	2024-05-18T21:05:28Z
dc.date.available	2024-05-18T21:05:28Z
dc.date.issued	2023-04-01
dc.identifier.citation	Acta Mechanica Sinica/Lixue Xuebao, 2023, 39, (4), pp. 722333
dc.identifier.issn	0567-7718
dc.identifier.issn	1614-3116
dc.identifier.uri	http://hdl.handle.net/10453/179024
dc.description.abstract	Architected cellular structures are designed by tessellating unit cells in a periodic fashion. The optimisation of the cellular structures ensures their compatibility with engineering applications in which mechanical properties are highly customised to meet a specific requirement while preserving considerable lightweight. The present paper aims to explore the dynamic buckling behaviour of the imperfect sandwich plate with an architected cellular core. The homogeneous method is adopted to obtain the effective material properties of the cellular core with various unit cell configurations. Different impact loading cases, namely, the sinusoidal, exponential, rectangular, and damping impulses, have been simulated. Meanwhile, two common types of boundary restraints (i.e., simply supported and clamped) are embraced in the investigation. The governing equation system is built based on the first-order shear deformation plate theory with the Von Karman nonlinearity and then resolved by the Galerkin and the fourth-order Runge-Kutta methods. Volmir criterion is employed to determine the critical dynamic buckling load. Several validations are made before conducting systematic numerical experiments. The correlations between the dynamic buckling load of the sandwich model and a number of crucial factors, such as the geometry and relative density of the cell unit, the initial imperfection and boundary conditions of the sandwich plate, elastic foundation coefficients, and damping, are discussed. In addition, the load-to-weight ratio is shown, which will aid in determining the optimal unit cell design and relative density for light-weighting a specific technical component. [Figure not available: see fulltext.]
dc.language	en
dc.publisher	Springer Nature
dc.relation	http://purl.org/au-research/grants/arc/IH150100006
dc.relation	http://purl.org/au-research/grants/arc/IH200100010
dc.relation	http://purl.org/au-research/grants/arc/DP210101353
dc.relation.ispartof	Acta Mechanica Sinica/Lixue Xuebao
dc.relation.isbasedon	10.1007/s10409-022-22333-x
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject	0912 Materials Engineering, 0913 Mechanical Engineering
dc.subject.classification	Mechanical Engineering & Transports
dc.subject.classification	4017 Mechanical engineering
dc.title	Nonlinear dynamic stability analysis of imperfect architected cellular sandwich plate under impact loading
dc.type	Journal Article
utslib.citation.volume	39
utslib.for	0912 Materials Engineering
utslib.for	0913 Mechanical Engineering
pubs.organisational-group	University of Technology Sydney
pubs.organisational-group	University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	University of Technology Sydney/Faculty of Engineering and Information Technology/School of Civil and Environmental Engineering
utslib.copyright.status	closed_access	*
dc.date.updated	2024-05-18T21:05:25Z
pubs.issue	4
pubs.publication-status	Published
pubs.volume	39
utslib.citation.issue	4

Abstract:

Architected cellular structures are designed by tessellating unit cells in a periodic fashion. The optimisation of the cellular structures ensures their compatibility with engineering applications in which mechanical properties are highly customised to meet a specific requirement while preserving considerable lightweight. The present paper aims to explore the dynamic buckling behaviour of the imperfect sandwich plate with an architected cellular core. The homogeneous method is adopted to obtain the effective material properties of the cellular core with various unit cell configurations. Different impact loading cases, namely, the sinusoidal, exponential, rectangular, and damping impulses, have been simulated. Meanwhile, two common types of boundary restraints (i.e., simply supported and clamped) are embraced in the investigation. The governing equation system is built based on the first-order shear deformation plate theory with the Von Karman nonlinearity and then resolved by the Galerkin and the fourth-order Runge-Kutta methods. Volmir criterion is employed to determine the critical dynamic buckling load. Several validations are made before conducting systematic numerical experiments. The correlations between the dynamic buckling load of the sandwich model and a number of crucial factors, such as the geometry and relative density of the cell unit, the initial imperfection and boundary conditions of the sandwich plate, elastic foundation coefficients, and damping, are discussed. In addition, the load-to-weight ratio is shown, which will aid in determining the optimal unit cell design and relative density for light-weighting a specific technical component. [Figure not available: see fulltext.]

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http://hdl.handle.net/10453/179024