Nonlinear dynamic stability analysis of axial impact loaded structures via the nonlocal strain gradient theory

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

Nonlinear dynamic stability analysis of axial impact loaded structures via the nonlocal strain gradient theory

Li, Q Wu, D

Gao, W Hui, D

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Publisher:: Elsevier
Publication Type:: Journal Article
Citation:: Applied Mathematical Modelling, 2023, 115, pp. 259-278
Issue Date:: 2023-03-01

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Field	Value	Language
dc.contributor.author	Li, Q
dc.contributor.author	Wu, D https://orcid.org/0000-0002-7284-5024
dc.contributor.author	Gao, W
dc.contributor.author	Hui, D
dc.date.accessioned	2023-05-06T11:18:54Z
dc.date.available	2023-05-06T11:18:54Z
dc.date.issued	2023-03-01
dc.identifier.citation	Applied Mathematical Modelling, 2023, 115, pp. 259-278
dc.identifier.issn	0307-904X
dc.identifier.uri	http://hdl.handle.net/10453/170269
dc.description.abstract	In engineering applications, there has been an overwhelming tendency towards portability, miniaturization, and integration in recent years. To link the intrinsic size dependency feature of the small-scale structure with its structural stability, the nonlocal strain gradient theory, which captures the size effect in a more general size-dependent continuum-based model, is introduced to explore the nonlinear dynamic stability behaviour of nanoplates. Four types of axial impact loading configurations, namely, sinusoidal, exponential, rectangular, and damping, are considered. Some practical factors, such as Winkler-Pasternak elastic foundation and damping, are taken into account in the analysis. The equations of motion for the size-dependent initially imperfect plate are derived in the framework of the first-order shear deformation plate theory in conjunction with the Von Kármán nonlinear terms. Then the Airy stress function corresponding to simply supported nanoplate is introduced; then, by applying the Galerkin method, the obtained differential equations are addressed by the fourth-order Runge-Kutta algorithm. Subsequently, the specific value of the critical dynamic buckling load is determined by the Volmir criterion. Organic solar cells (OSCs), a type of emerging solar-to-electrical energy conversion nanodevice, are used as an illustrative example within the existing framework. The effects of size dependency in conjunction with the pulse load configuration, the initial imperfection, the elastic foundation, as well as the damping ratio on the nonlinear dynamic buckling behaviour of the OSC are thoroughly investigated.
dc.language	en
dc.publisher	Elsevier
dc.relation	http://purl.org/au-research/grants/arc/IH200100010
dc.relation	http://purl.org/au-research/grants/arc/DP210101353
dc.relation	http://purl.org/au-research/grants/arc/IH210100048
dc.relation.ispartof	Applied Mathematical Modelling
dc.relation.isbasedon	10.1016/j.apm.2022.10.029
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject	0102 Applied Mathematics, 0103 Numerical and Computational Mathematics, 0801 Artificial Intelligence and Image Processing
dc.subject.classification	Mechanical Engineering & Transports
dc.title	Nonlinear dynamic stability analysis of axial impact loaded structures via the nonlocal strain gradient theory
dc.type	Journal Article
utslib.citation.volume	115
utslib.for	0102 Applied Mathematics
utslib.for	0103 Numerical and Computational Mathematics
utslib.for	0801 Artificial Intelligence and Image Processing
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	2023-05-06T11:18:52Z
pubs.publication-status	Published
pubs.volume	115

Abstract:

In engineering applications, there has been an overwhelming tendency towards portability, miniaturization, and integration in recent years. To link the intrinsic size dependency feature of the small-scale structure with its structural stability, the nonlocal strain gradient theory, which captures the size effect in a more general size-dependent continuum-based model, is introduced to explore the nonlinear dynamic stability behaviour of nanoplates. Four types of axial impact loading configurations, namely, sinusoidal, exponential, rectangular, and damping, are considered. Some practical factors, such as Winkler-Pasternak elastic foundation and damping, are taken into account in the analysis. The equations of motion for the size-dependent initially imperfect plate are derived in the framework of the first-order shear deformation plate theory in conjunction with the Von Kármán nonlinear terms. Then the Airy stress function corresponding to simply supported nanoplate is introduced; then, by applying the Galerkin method, the obtained differential equations are addressed by the fourth-order Runge-Kutta algorithm. Subsequently, the specific value of the critical dynamic buckling load is determined by the Volmir criterion. Organic solar cells (OSCs), a type of emerging solar-to-electrical energy conversion nanodevice, are used as an illustrative example within the existing framework. The effects of size dependency in conjunction with the pulse load configuration, the initial imperfection, the elastic foundation, as well as the damping ratio on the nonlinear dynamic buckling behaviour of the OSC are thoroughly investigated.

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http://hdl.handle.net/10453/170269