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)
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.
#1Gui-Lin She (Chongqing University)
#1Gui-Lin She (Chongqing University)H-Index: 12
Last. Behrouz Karami (IAU: Islamic Azad University)H-Index: 29
view all 3 authors...
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...
4 CitationsSource
#1Shuohui Yin (XTU: Xiangtan University)H-Index: 18
#2Yang Deng (XTU: Xiangtan University)H-Index: 2
Last. G. Y. Zhang (SEU: Southeast University)H-Index: 9
view all 5 authors...
Abstract The non-classical Bernoulli-Euler beam model contains a material length scale parameter to account for the microstructure effect on the bulk material and three surface elasticity constants to capture the distinguished material properties on a surface. The present work is dedicated to develop a new effective computational approach for the non-classical Bernoulli-Euler beam model based on the isogeometric analysis (IGA) with high-order continuity basis functions of non-uniform rational B-...
4 CitationsSource
#1Huifeng Hu (Hohai University)H-Index: 3
#2Tiantang Yu (Hohai University)H-Index: 32
Last. Tinh Quoc Bui (TITech: Tokyo Institute of Technology)H-Index: 54
view all 4 authors...
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...
6 CitationsSource
#1Iraj Bakhtiari (ZNU: University of Zanjan)H-Index: 1
#2Saman Jabbari Behrouz (ZNU: University of Zanjan)H-Index: 2
Last. Omid Rahmani (ZNU: University of Zanjan)H-Index: 23
view all 3 authors...
Abstract This study addresses the nonlinear forced vibration of a deep curved microbeam with a noncontact actuator. The photostrictive actuator is subjected to an ultraviolet-switching excitation and the governing equations are derived based on the couple stress theory (CST). The von Karman geometric nonlinearity is utilized to obtain the fundamental equations of thin curved beams in a curvilinear coordinate system. According to the type of boundaries, inextensional condition is applied as a new...
2 CitationsSource
#1Dejin Chen (NUAA: Nanjing University of Aeronautics and Astronautics)H-Index: 2
#2Shijie Zheng (NUAA: Nanjing University of Aeronautics and Astronautics)H-Index: 8
Last. Zongjun Li (Pan Asia Technical Automotive Center)H-Index: 4
view all 5 authors...
Abstract: Based on the Timoshenko beam theory, von Karman geometric nonlinearity assumption and the modified couple stress theory, this paper presents linear and nonlinear free vibration analysis of rotating two-dimensional functionally graded micro-beam with even and uneven porous distributions. The material properties vary along the axial and thickness directions. The NURBS function is employed as the basic one to overcome the inherent difficulty of constructing higher order continuous displac...
3 CitationsSource
#1Ehsan Akrami-Nia (FUM: Ferdowsi University of Mashhad)H-Index: 1
#2Hamid EkhteraeiToussi (FUM: Ferdowsi University of Mashhad)H-Index: 4
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 ...
1 CitationsSource
#1Duy Vo (SIIT: Sirindhorn International Institute of Technology)
#1Duy Vo (SIIT: Sirindhorn International Institute of Technology)H-Index: 3
Last. Pruettha Nanakorn (SIIT: Sirindhorn International Institute of Technology)H-Index: 11
view all 2 authors...
Abstract This study proposes a novel isogeometric beam formulation for thin, elastic, planar curved beams subjected to large displacements. The Euler–Bernoulli beam theory is employed. In the formulation, a two-dimensional continuum beam is entirely described by its axis and a convective frame rigidly attached to the beam axis. Rational B-spline basis functions are used to construct the geometrical approximation of the beam axis, and the translational displacements of the beam axis are considere...
11 CitationsSource
#1Qingshan Wang (CSU: Central South University)H-Index: 28
#2Kwangnam ChoeH-Index: 12
Last. Ailun Wang (CSU: Central South University)H-Index: 10
view all 5 authors...
An exact semianalytical method for vibration analysis of general thin and moderately thick laminated composite curved beams with variable curvatures and general boundary conditions is presented. In...
11 CitationsSource
#1Seyed Farhad Hosseini (FUM: Ferdowsi University of Mashhad)H-Index: 7
#2Ali Hashemian (HSU: Hakim Sabzevari University)H-Index: 8
Last. Alessandro Reali (UNIPV: University of Pavia)H-Index: 45
view all 3 authors...
Abstract The present paper investigates the use of different knot placement techniques for isogeometric analysis of spatial curved beams, to enhance analysis results in cases when geometries are given in terms of data points. Focusing on analysis-aware modeling for structural static and vibration simulations of spatial free-form curved beams, the knot placement techniques based on uniformly spaced knots as well as on De Boor’s and Piegl and Tiller’s algorithms are studied. For this purpose, an i...
3 CitationsSource
#1Dejin Chen (NUAA: Nanjing University of Aeronautics and Astronautics)H-Index: 3
#2Kai Feng (NUAA: Nanjing University of Aeronautics and Astronautics)H-Index: 1
Last. Shijie Zheng (NUAA: Nanjing University of Aeronautics and Astronautics)H-Index: 8
view all 3 authors...
Abstract This paper makes the first attempt to establish a size-dependent finite element formulation by combining isogeometric analysis and a re-modified couple stress theory (RMCST) for anisotropic elasticity. The flapwise vibration of rotation composite microbeam with geometrical imperfection connected to a hub is explored. This paper employs the NURBS function as the basis function to describe the geometry and overcomes the inherent difficulty of constructing higher order continuous displacem...
9 CitationsSource
Cited By0
Abstract null null The unified gradient elasticity theory with applications to nano-mechanics of torsion is examined. The Reissner stationary variational principle is invoked to detect the differential and boundary conditions of equilibrium along with the consistent form of the constitutive laws. An efficient meshless numerical approach is established by making recourse to the Reissner variational functional wherein independent series solution of the kinematic and kinetic field variables are pro...