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1. Nonlinear analysis for a rectangular plate subjected to low velocity impact considering the effect of the structural deformation | |||
HU Yaqing,DAI Hongliang,LIN Zhongyan | |||
Mechanics 23 March 2018 | |||
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Abstract:In this paper, by applying the Hertz contact law and considering the effect of the structural deformation, the dynamic contact coefficient is proposed. On the base of the classical theory of thin plate, by using von Kaman equations the governing equations of the rectangular plate subjected to low velocity is built. Considering the effect of the structural deformation, the governing equations of contact force is coupled with that of the plate, thus the finite difference method is used and the displacement functions is discrete in space domains. Also, the Newmark method is used and the whole problem is solved by applying iterative method. The results shows the influence of boundary condition, material of the plate, impact speeds and other factors on the displacement, normal stress and contact force while considering the effect of the structural deformation. | |||
TO cite this article:HU Yaqing,DAI Hongliang,LIN Zhongyan. Nonlinear analysis for a rectangular plate subjected to low velocity impact considering the effect of the structural deformation[OL].[23 March 2018] http://en.paper.edu.cn/en_releasepaper/content/4744096 |
2. Dual solutions in MHD stagnation-point flow and heat transfer of Williamson nanofluid over a nonlinear shrinking sheet | |||
TANG Shujiang,LI Mingjun | |||
Mechanics 19 December 2017 | |||
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Abstract:A MHD stagnation-point flow and heat transfer of Williamson nanofluid over a nonlinear shrinking sheet is investigated. The boundary-layer governing equations with a variable induced magnetic field are formulated and reduced to ordinary differential equations. The similar equations are solved numerically using Bvp4c with Matlab, and the dual solutions are found. Interestingly, there exists mc as a critical power-law index for the special dual solutions, in fact, there exists no critical value for the general Williamson nanofluid model. And on the two sides of the critical value, the dimensionless physical quantity will show different trending with the increase of the power low index. | |||
TO cite this article:TANG Shujiang,LI Mingjun. Dual solutions in MHD stagnation-point flow and heat transfer of Williamson nanofluid over a nonlinear shrinking sheet[OL].[19 December 2017] http://en.paper.edu.cn/en_releasepaper/content/4742888 |
3. Application of multiscale asymptotic expansion method to three dimensional periodical composite structures | |||
GAO Yahe,XING Yufeng,LI Min | |||
Mechanics 04 May 2017 | |||
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Abstract:The decoupled Multiscale Asymptotic Expansion Method (MsAEM) is applied to the static analyses of three-dimensional (3D) periodical composite structures. The effects of perturbation orders, boundary conditions of unit cell problems and the derivatives of homogenized displacements on the accuracy are studied, the physical interpretation of the petrubation terms is revealed. By comprehensive results and comparisons, it is concluded that, 1) MsAEM can be viewed as the superposition method of different orders of admissible deformation modes represented by influence functions; 2) the second expansion term is leading in theoretical sense; 3) super unit cell approach and highly accurate differential quadrature method can improve the computational accuracy of influence functions and macro displacement derivatives; 4) the total potential energy functional is an effective method to evaluate the computational accuracy of displacements. | |||
TO cite this article:GAO Yahe,XING Yufeng,LI Min. Application of multiscale asymptotic expansion method to three dimensional periodical composite structures[OL].[ 4 May 2017] http://en.paper.edu.cn/en_releasepaper/content/4732461 |
4. Vibration analysis of axially functionally graded beams with the composite element model | |||
LIU Jike,LV Zhongrong | |||
Mechanics 29 December 2016 | |||
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Abstract:This paper presents a simple yet accurate approach to analyze the free and forced vibrations of axially functionally graded (AFG) beams. The governing equations of the beam is derived by Lagrange's equations and then discretized by the composite element method. Numerical simulations are presented to show the effects of Young's modulus variation, mass density variation, and slenderness ratios, on the dynamic characteristics of the AFG beams. The natural frequencies obtained from the proposed method are found to be in close agreement with those from finite element and other methods. The forced vibration responses of the AFG beam are also calculated from the proposed method and compared with those obtained from the finite element method (FEM). Time histories from both methods are found to match very well. This further indicates the correctness of the present method for forced vibration analysis of the AFG beam. | |||
TO cite this article:LIU Jike,LV Zhongrong. Vibration analysis of axially functionally graded beams with the composite element model[OL].[29 December 2016] http://en.paper.edu.cn/en_releasepaper/content/4715329 |
5. The Interfacial Interactions and Size Effect of Carbon Nanotube Reinforced Composites | |||
YUAN Ding,XIONG Huifang,XIAO Tan | |||
Mechanics 09 November 2016 | |||
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Abstract:Based on the Gurtin-Murdoch's elastic surface theory and the elastic energy principle, the issue of infinite carbon nanotube (CNT) reinforced composite under uniform external load was studied. The elastic equilibrium equations of interfacial interactions and the boundary conditions for the CNT reinforced composite were established. The analytic solutions of displacement and stress were given, and as a simple example, the stress concentration factors of an aluminum matrix with a cylindrical void were computed. The results show that the interfacial interactions do have an effect on the stress distribution of the matrix. The size effect is obvious when the void diameter is rather small, whereas the effect diminishes with the increase of the diameter and the stress concentration factors reduce to the classical solutions. CNT reinforced composites have great promise in becoming high performance structural composites. The work in this paper may shed light on the further studies on interfacial debonding of nanocomposites. | |||
TO cite this article:YUAN Ding,XIONG Huifang,XIAO Tan. The Interfacial Interactions and Size Effect of Carbon Nanotube Reinforced Composites[OL].[ 9 November 2016] http://en.paper.edu.cn/en_releasepaper/content/4709449 |
6. A Y-shaped Vibration Energy Harvester | |||
HU Junhui,TANG Qiang | |||
Mechanics 18 May 2016 | |||
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Abstract:The conventional U-shaped impact type vibration energy harvester (ITVEH), which was proposed by our group, has the capability to convert a low-frequency environmental vibration into a high-frequency structural resonance. This feature can be used to enhance the vibration energy harvesting efficiency. In this work, to increase the electric output power of the conventioanl ITVEH under the same vibration excitation conditions, we proposed and fabricated an ITVEH with a Y-shaped frame, and measured its electric output power. Our experiments show that the electric output power of the ITVEH with a Y-shaped frame is two times of that of the ITVEH with a U-shaped frame. | |||
TO cite this article:HU Junhui,TANG Qiang. A Y-shaped Vibration Energy Harvester[OL].[18 May 2016] http://en.paper.edu.cn/en_releasepaper/content/4690015 |
7. Nucleation of detachment from the edge of an adhered thin elastic film | |||
HE Linghui | |||
Mechanics 28 November 2015 | |||
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Abstract:Detachment of a thin elastic film adhered onto a rigid substrate via van der Waals force is studied in the two-dimensional setting. The film is assumed semi-infite ling and undergoes a peeling force transverse to its edge. By using the modified iteration method, the critical peeling force which gives rise to detachment nucleation from the edge of the film is derived in an analytical form. | |||
TO cite this article:HE Linghui. Nucleation of detachment from the edge of an adhered thin elastic film[OL].[28 November 2015] http://en.paper.edu.cn/en_releasepaper/content/4666707 |
8. Magnetoelectric effect and frequency multiplying behavior of layered composites in large ac magnetic fields | |||
Longfei Niu,Hong Yao,Yang Shi,Yuanwen Gao | |||
Mechanics 20 November 2015 | |||
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Abstract:ME frequency multiplying behavior has wide applications in frequency multipliers, which can tune to a harmonic of the input frequency. It is necessary not only to widen frequency range of applications, but also to achieve more harmonics of output signals. We report a new way for adjusting the output signals frequencies by altering the applied dc magnetic fields and structures under a large ac magnetic field (100Oe). Without the dc magnetic field, some comparisons were made to study the differences of ME frequency multiplying behaviors among the different samples and as a result basic frequencies of output signals can be adjusted by changing the structures. Then, a dc magnetic field is applied to obtain more basic frequencies and distortions of output signals. At the same time, the dependences of ME effect on ac and dc magnetic fields are investigated, respectively. Our results show that structures have a significant influence on ME frequency multiplying behaviors: bilayers present more basic frequency than trilayer. Meanwhile, when a dc magnetic field was applied, odd harmonics generate and the numbers of basic frequencies increase. As the dc magnetic field continue to increase, ME frequency multiplying behaviors disappear gradually. For different samples, ME effects show different variations with the applied magnetic fields. | |||
TO cite this article:Longfei Niu,Hong Yao,Yang Shi, et al. Magnetoelectric effect and frequency multiplying behavior of layered composites in large ac magnetic fields[OL].[20 November 2015] http://en.paper.edu.cn/en_releasepaper/content/4662851 |
9. Unstable Propagation in a Stochastic Nonlinear Wave Model from an Axon | |||
YING Zuguang | |||
Mechanics 14 April 2015 | |||
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Abstract:In this paper, the partial differential equation for wave propagation of an axon under stochastic noises is given and then simplified to the ordinary differential equation for the traveling wave with constant velocity by using the traveling wave coordinate. The stochastic wave solution is divided into a deterministic part and its stochastic perturbation. A deterministic traveling wave solution for the action potential is obtained by solving the nonlinear wave equation without stochastic excitation. The nonlinear wave equation with stochastic excitation for the stochastic perturbation is transformed into the It? stochastic differential equations. The corresponding Fokker-Planck-Kolmogorov equation is given, and then the probability density and statistics of the stochastic wave perturbation are obtained. The stability of the stochastic wave propagation in the nonlinear model from the axon is analyzed and illustrated with numerical results. | |||
TO cite this article:YING Zuguang. Unstable Propagation in a Stochastic Nonlinear Wave Model from an Axon[OL].[14 April 2015] http://en.paper.edu.cn/en_releasepaper/content/4638772 |
10. Fundamental elastic singular solutions for a layer perfectly bonded to a dissimilar substrate | |||
Ma Lifeng,Zhao Jing,Alexander M. Korsunsky | |||
Mechanics 03 March 2014 | |||
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Abstract:A generic fundamental solution for an elastically dissimilar layer-substrate system with a generalized singularity embedded within the layer is derived in this study. The singularity can be a point force, an edge dislocation, a point moment, a point nucleus of strain, etc. The solutions can be used as Green's functions for integral equation formulations of layer problems in layer-substrate systems. The application of the solutions is demonstrated with two simple examples. | |||
TO cite this article:Ma Lifeng,Zhao Jing,Alexander M. Korsunsky. Fundamental elastic singular solutions for a layer perfectly bonded to a dissimilar substrate[OL].[ 3 March 2014] http://en.paper.edu.cn/en_releasepaper/content/4588628 |
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