The nonlinear forced vibrations of size-dependent clamped–hinged microbeams to fundamental excitations of respectively the first mode and second mode in the presence of three-to-one internal resona...
#1Zhenkun Li(HUST: Huazhong University of Science and Technology)H-Index: 10
#2Yuming He(HUST: Huazhong University of Science and Technology)H-Index: 23
Last. Dabiao Liu(HUST: Huazhong University of Science and Technology)H-Index: 20
view all 6 authors...
A new perspective is presented to study size-dependent elasticity experimentally within micron scale utilizing dynamic approach. The size-dependent vibration of cantilever microbeams made of nickel is studied for the first three transverse modes. The normalized natural frequency of the first mode manifests strong size effect as reported. Remarkably, the normalized natural frequencies of the second and third mode also increase to 1.9 times as the thickness of microbeams decreases from 15 to 2.1 μ...
#1Zhenkun Li(HUST: Huazhong University of Science and Technology)H-Index: 10
#2Yuming He(HUST: Huazhong University of Science and Technology)H-Index: 23
Last. Lin Wang(HUST: Huazhong University of Science and Technology)H-Index: 61
view all 6 authors...
Abstract A standard experimental method for determining the intrinsic material length scale of modified couple stress theory is proposed based on a non-contact laser Doppler vibration measurement system. The first-order resonant frequencies of two different cantilever microbeams made of copper and titanium with thickness ranging from 15 to 2 µm are measured, respectively. The elastic size effects are obviously observed from the experimental results. The length scale parameters are obtained by fi...
#1Francesco Foti(Polytechnic University of Milan)H-Index: 8
#2Luca Martinelli(Polytechnic University of Milan)H-Index: 16
The aim of this paper is to validate the finite element formulations proposed in a companion paper for the study of the nonlinear dynamic behavior of cable structures. A well-known suspended cable in multiple 1:2 “internal resonance” conditions is herein considered. A uniform ice deposit, along the length of the cable, makes it prone to galloping vibrations under a steady wind flow. Different modeling strategies, relying on different assumptions regarding both the mechanical model as well as the...
The size-dependent internal energy transfer in the nonlinear dynamical behaviour of a microcantilever with an intermediate spring-support is investigated. A geometric size-dependent nonlinearity due to large changes in the curvature is taken into account in the longitudinal and transverse motions. Based on the modified couple stress theory, the potential energy of the system is developed; the kinetic energy is also constructed in term of the displacement field. The energy terms are balanced with...
Abstract In this paper, a size-dependent continuum-based model is presented for the coupled nonlinear dynamics of extensible functionally graded (FG) microbeams with viscoelastic properties. The length-scale effect is incorporated based on the modified couple stress theory (MCST). Moreover, employing the Kelvin–Voigt viscoelastic model, viscous components are taken into consideration in both stress and deviatoric segments of the symmetric couple stress tensors. The variation of the material prop...
#1Jianshi Fang(NJIT: Nanjing Institute of Technology)H-Index: 1
#2Jianping Gu(NJIT: Nanjing Institute of Technology)H-Index: 2
Last. Hongwei Wang(NJIT: Nanjing Institute of Technology)H-Index: 1
view all 3 authors...
Abstract A size-dependent three-dimensional dynamic model of rotating functionally graded (FG) microbeams is developed based on the Euler–Bernoulli beam theory. A two-constituent material varying along the thickness is considered following the power law. In addition, Poisson's ratio is assumed constant in the present model. Hamilton's principle is adopted in conjunction with a modified couple stress theory to derive the governing equations with the von Karman geometric nonlinearity incorporated....
#2Zhengbao Yang(U of T: University of Toronto)H-Index: 20
Nonlinear vibrations of longitudinally moving functionally graded material (FGM) plates containing porosities and contacting with liquid are investigated. The FGM plates contain porosities because of technical issues during the FGM preparation. Two types of porosity distribution, namely even and uneven distribution, are taken into account. The liquid is assumed to be incompressible, inviscid and irrotational. The velocity potential along with Bernoulli’s equation is employed to describe the dyna...
Last. Satya N. Atluri(UCI: University of California, Irvine)H-Index: 82
view all 4 authors...
Abstract This study is devoted to the analysis of the three-to-one internal resonance in a two degree-of-freedom system with cubic nonlinearity. Quasi-periodic motion is found to appear in the present system with internal resonance, while it does not show up in the case without internal resonance. Both the time domain collocation method and the harmonic balance method are applied to obtain the periodic solutions, and are compared with the benchmark solution of the numerical integration method. I...
Abstract This paper presents a nonlinear electro-dynamic analysis for a size dependent micro-beam made of materials with nonlinear elasticity by employing the modified couple stress theory based on Euler–Bernoulli beam model. By employing Hamilton's principle, the nonlinear partial differential governing equation is derived then solved by using Galerkin method in the space domain and backward differential method in the time domain to obtain the nonlinear electro-dynamic response and phase portra...
In the few decades, the study of electro-mechanical systems which are capable to extract energy from an operating system in the environment has been of most importance. In this work, we present the extraction of energy from a simple portal frame structure excited by a harmonic force, where the energy harvesting is computed by using of a nonlinear piezoelectric material. The dynamical response of the system is examined, when there is 2:1 internal resonance between the symmetric and the sway mode,...
#2Reza Dehini(KNTU: K.N.Toosi University of Technology)H-Index: 3
Last. Hamed Safarpour(IKIU: Imam Khomeini International University)H-Index: 36
view all 5 authors...
In this article, the nonlinear free and forced vibration analysis of multi-scale hybrid nano-composites (multi-scale HNC) annular plate (multi-scale HNCAP) under hygro-thermal environment and subjected to mechanical loading is presented. The material of matrix composite is enhanced by either carbon fibers (CF) or carbon nanotubes (CNTs) at the small or macro-scale. The multi-scale laminated annular plate’s displacement fields are determined using third-order shear deformation theory (third-order...
Last. Dong won Jung(Jeju National University)H-Index: 12
view all 5 authors...
In this study, the vibrational characteristics of a rotating multi-hybrid nanocomposite reinforced (MHCR) cantilevered disk (MHCRCD) are presented. The centrifugal and Coriolis effects due to the r...
Last. Jian Zang(SAU: Shenyang Aerospace University)H-Index: 10
view all 4 authors...
Given its essential nonlinearity, nonlinear energy sink (NES) has been extensively studied as a promising vibration energy harvesting device. Internal resonance, which is due to strong energy excha...
Last. Xu Zhang(Southwest Jiaotong University)H-Index: 15
view all 5 authors...
Abstract In this paper, we propose a novel differential quadrature-based geometric mapping scheme to address the C1-continuity requirements of the in-plane and out-of-plane kinematic quantities of a couple stress-based Mindlin–Reissner functionally graded (FG) plate model. This mapping scheme is combined with the minimum total potential energy principle to construct a four-node size-dependent plate element being free of shape functions with 20 degrees of freedom (DOFs) per node. To validate the ...
#1Zhenkun Li(HUST: Huazhong University of Science and Technology)H-Index: 10
#2Yuming He(HUST: Huazhong University of Science and Technology)H-Index: 23
Last. Dabiao Liu(HUST: Huazhong University of Science and Technology)H-Index: 20
view all 6 authors...
Abstract The nonlinear vibration of cantilever nickel microbeams with thickness in micron level is investigated through experiment and theory. A non-contact dynamic vibration measurement system is built to test the fundamental linear frequency and the nonlinear amplitude-frequency curves near the primary resonance. Experimental result reveals the nonlinear amplitude-frequency curves exhibit a marked weak softening-type behavior as well as hysteresis behavior. To elucidate the experimental observ...
#1Zhenkun Li(HUST: Huazhong University of Science and Technology)H-Index: 10
#2Yuming He(HUST: Huazhong University of Science and Technology)H-Index: 23
Last. Dabiao Liu(HUST: Huazhong University of Science and Technology)H-Index: 20
view all 5 authors...
The superharmonic resonance (SR) of size-dependent cantilever microbeams is investigated experimentally and analytically. Nickel cantilever microbeams are employed with concentrated harmonic force ...