Dynamic and static isogeometric analysis for laminated Timoshenko curved microbeams

Published on Jul 1, 2021in Engineering Analysis With Boundary Elements2.884
· DOI :10.1016/J.ENGANABOUND.2021.03.019
Huifeng Hu3
Estimated H-index: 3
(Hohai University),
Tiantang Yu32
Estimated H-index: 32
(Hohai University)
+ 1 AuthorsTinh Quoc Bui54
Estimated H-index: 54
(TITech: Tokyo Institute of Technology)
Source
Abstract
Abstract An effective computational approach that can simultaneously deal with several complexities in geometries, material properties, and size effects is of non-trivial yet important tasks for the design and optimization of device components in micro- and nano-electromechanical systems. This study is devoted to the development of such an effective computational approach, which is formed by integrating the modified couple stress theory into isogeometric analysis framework. The proposed approach is applied to mechanical problems of laminated Timoshenko curved microbeams, i.e., anazlying static bending, natural frequency and transient response. The developed method enables to describe and examine nontrivial features in both material and geometrical properties of laminated curved microbeams. Geometries of curved microbeams and displacement approximation are accurately described by the non-uniform rational B-spline basis functions. For laminated composites, the material coupling is taken into account with the use of equivalent elastic modulus; and the deepness term is properly included in laminate stiffness parameters. In addition, the small-scale size effects are captured with the use of modified couple stress theory. The accuracy and performance of proposed method are demonstrated through several numerical examples, in which the static bending, free vibration and transient response of laminated curved microbeams are considered under effects of some factors such as aspect ratios, lay-ups, boundary conditions and size dependence.
References49
Newest
#1Gui-Lin She (Chongqing University)
#1Gui-Lin She (Chongqing University)H-Index: 12
Last. Behrouz Karami (IAU: Islamic Azad University)H-Index: 29
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Abstract In this paper, the forced resonance vibration analysis of curved micro-size beams made of graphene nanoplatelets (GNPs) reinforced polymer composites is presented. The approximating of the effective material properties is on the basis of Halpin–Tsai model and a modified rule of mixture. The Timoshenko beam theory is applied to describe the displacement field for the microbeam. To incorporate small-size effects, the modified strain gradient theory, possessing three independent length sca...
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#2Yang Deng (XTU: Xiangtan University)H-Index: 2
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#2Tiantang Yu (Hohai University)H-Index: 32
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Abstract Studies on functionally graded (FG) curved microbeam structures are rather rare in the literature, and we thus present an effective computational approach on the basic combination of isogeometric analysis (IGA) and modified couple stress theory (MCST) for mechanical behavior analysis of such FG curved microbeams. The proposed method can cope with simultaneous complexities in material properties and geometries of the FG curved microbeams. The material properties of microbeams vary contin...
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#2Saman Jabbari Behrouz (ZNU: University of Zanjan)H-Index: 2
Last. Omid Rahmani (ZNU: University of Zanjan)H-Index: 23
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#1Dejin Chen (NUAA: Nanjing University of Aeronautics and Astronautics)H-Index: 2
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Microbeams are key elements in most of the micro-electromechanical systems (MEMS). Electromechanical instability of microbeams in turn plays an important role in their applications. The shape and mechanical properties of microbeams dictate their functional characteristics. Focusing on their instability-based working mechanism, one can appreciate that viscoelasticity of MEMS materials cannot be neglected. Consequently, the analysis of instability in viscoelastic curved microbeams is an essential ...
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#1Qingshan Wang (CSU: Central South University)H-Index: 28
#2Kwangnam ChoeH-Index: 12
Last. Ailun Wang (CSU: Central South University)H-Index: 10
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