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1. Numerical and experimental study on the lateral contact model of a circular rod moving in a circular channel | |||
Wu Feng,Zhao Ke,Wu Xuanlong,Zhao Liliang,Zhao Yuelin | |||
Mechanics 27 February 2023 | |||
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Abstract:When a rod moves in a circular channel, high-frequency collisions occur between the rod and the channel wall. Contact models are crucial for predicting the motion of the rod. This paper conducts experimental studies on the movement of a rod in a circular channel and compares four different contact models based on experimental data. To improve the computational efficiency of simulating high-frequency collisions between the rod and the pipe wall, a time-averaging method is used to establish a time-averaged collision equation. This equation uses time-averaged displacement as the basic variable and handles contact problems through time-averaged gap functions and time-averaged contact forces. Two time-averaged contact models are proposed through polishing methods and machine learning, and comparison with experimental data shows that these models can ensure the accuracy of rod motion analysis while improving computational efficiency. | |||
TO cite this article:Wu Feng,Zhao Ke,Wu Xuanlong, et al. Numerical and experimental study on the lateral contact model of a circular rod moving in a circular channel[OL].[27 February 2023] http://en.paper.edu.cn/en_releasepaper/content/4759296 |
2. 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 |
3. Frequency and damping trimming of a microresonator via delayed feedback signals | |||
HAN Jianxin,ZHANG Qichang,WANG Wei | |||
Mechanics 28 October 2015 | |||
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Abstract:A study on an electrically actuated microresonator is carried out to investigate its dynamic characteristic with delayed displacement and velocity feedback signals. The amplitude of AC voltage is relatively smaller than that of DC voltage in real cases, which yields a small amplitude vibration around its equilibrium position. For delayed stability purpose, delay-independent region based on the linearized equation is analytically derived and then numerically verified. Then, the method of multiple scales is used to determine the frequency response equation under primary resonance of the system. Explicit expressions of the effective natural angular frequency and damping ratio are deduced, respectively. Results show that these two types of delayed feedback signals can induce frequency and damping trimming of the system. An ideal situation, when one type of signal can only tune one vibration property, is discussed in detail. Four cases of delay conditions are defined to decouple the two trimming phenomena. Finally, both the perturbation solution and numerical results are used to verify the correctness of our analysis. | |||
TO cite this article:HAN Jianxin,ZHANG Qichang,WANG Wei. Frequency and damping trimming of a microresonator via delayed feedback signals[OL].[28 October 2015] http://en.paper.edu.cn/en_releasepaper/content/4659192 |
4. Fuzzy fractional-order fast terminal sliding mode control for some chaotic micro-components | |||
HAN Jianxin,ZHANG Qichang,WANG Wei,WANG Jing | |||
Mechanics 27 October 2015 | |||
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Abstract:In this paper, a novel fractional-order fast terminal sliding mode control method, based on an integer-order scheme, is proposed to stabilize the chaotic motion of two typical micro-components. Fractional Lyapunov stability theorem is applied to analytically guarantee the asymptotic stability of the system with uncertainties and external disturbances. To reduce chattering, a fuzzy logic algorithm is designed to replace the traditional signum function in switching law. Finally, numerical simulations with both the fractional-order and integer-order control laws are carried out, respectively. Results show that the proposed control law is effective in the suppression of chaos. | |||
TO cite this article:HAN Jianxin,ZHANG Qichang,WANG Wei, et al. Fuzzy fractional-order fast terminal sliding mode control for some chaotic micro-components[OL].[27 October 2015] http://en.paper.edu.cn/en_releasepaper/content/4659189 |
5. Stable configurations of the noncircular cross section elastic rod model with singularity theory | |||
WANG Wei,LIN Zhi | |||
Mechanics 08 January 2014 | |||
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Abstract:The stable configuration of elastic rod model under perturbation is researched by using the singularity theory. We consider the reduced Kirchhoff equations of the noncircular cross section elastic rod characterized by the inequality of the bending rigidities. For the possible buckling configurations belong to the minima along the elastic energy curve, it is analogue to the research of static bifurcation of the equilibrium and described as a 2-codimension unfolding. From that we realize the emergency of buckling configuration under perturbation is strongly connected with the correlations between different governing parameters. These correlations can be analytically detected with the variation in the transition set and bifurcation diagrams from the singularity theory. We also find the criterion of the localized buckling process. The process, following the buckling configuration, connects with the homoclinicity in the physical parameter regions and has been verified with numerical simulation in this article. | |||
TO cite this article:WANG Wei,LIN Zhi. Stable configurations of the noncircular cross section elastic rod model with singularity theory[OL].[ 8 January 2014] http://en.paper.edu.cn/en_releasepaper/content/4580025 |
6. The analytical analysis of the asymmetric elastic rod | |||
WANG Wei,CHEN Tao | |||
Mechanics 04 January 2014 | |||
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Abstract:The analytical equation of the asymmetric elastic rod governed by the ordinary differential equation is obtained. We reconstruct the Kirchhoff equations with the complex coordinates and introduce a novel transformation parameter. They change the initial non-circular character of the cross section into a nearly cross section case, and approximately result the Duffing type ordinary differential equations. Perturbation methods basing on these equations permit our expectation to explore the intrinsic properties of DNA double helix within the framework of analytical research not merely the numerical simulations, such as structural inhomogeneity and periodically varying of bending rigidities. | |||
TO cite this article:WANG Wei,CHEN Tao. The analytical analysis of the asymmetric elastic rod[OL].[ 4 January 2014] http://en.paper.edu.cn/en_releasepaper/content/4580022 |
7. Dynamic behavior of fluid-conveying single-walled carbon nanotube with initial stress based on nonlocal Euler-Bernoulli beam theory | |||
WANG Bo,DENG Zichen | |||
Mechanics 11 October 2013 | |||
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Abstract:In this study, the force vibration analysis of fluid-conveying single-walled carbon nanotube (SWCNT) with an axial initial stress under harmonic load is performed. Firstly, the governing partial differential equation for the fluid filled SWCNT is derived by the nonlocal Euler-Bernoulli beam model. Secondly, the Galerkin method is applied to discretize the partial differential equation of motion to a second-order linear differential equation. Then, an analytical expression for the problem is obtained, and the improved precise integrator method (IPIM) is carried out to solve the linear differential equation. Finally, the results of this paper verify the IPIM, and the results also show the influence of flow velocity on the dynamic behaviour of fluid-conveying SWCNT with initial stress. This study may be useful for further study of the dynamic properties of fluid-conveying SWCNT and design of nano-devices. | |||
TO cite this article:WANG Bo,DENG Zichen. Dynamic behavior of fluid-conveying single-walled carbon nanotube with initial stress based on nonlocal Euler-Bernoulli beam theory[OL].[11 October 2013] http://en.paper.edu.cn/en_releasepaper/content/4563526 |
8. Reliability of MDOF nonlinear oscillators with fractional derivative damping driven by real noise excitation | |||
CHEN Lincong | |||
Mechanics 08 October 2013 | |||
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Abstract:In this paper, the reliability of multi-degree-of-freedom (MDOF) nonlinear oscillators with fractional derivative damping under real noise excitation is considered. First, the original system is reduced to a set of averaged It? equations by using the stochastic averaging method. Then, the conditional reliability function and the conditional mean of the first passage time are obtained by formulating and solving the backward Kolmogorov equation. Finally, an example is worked out for illustration. . | |||
TO cite this article:CHEN Lincong. Reliability of MDOF nonlinear oscillators with fractional derivative damping driven by real noise excitation[OL].[ 8 October 2013] http://en.paper.edu.cn/en_releasepaper/content/4562833 |
9. The effect of wettability on the dynamical behaviors of single-walled carbon nanotube | |||
YAN Yan,WANG Wenquan | |||
Mechanics 28 March 2013 | |||
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Abstract:The dynamical behaviors of single-walled carbon nanotube (SWCNT) with the internal and external wettability are studied based on a multiple flexible shell model in the paper. The SWCNT-water system comprises five constituent parts, i.e., the SWCNT, the absorbed inner and outer layers of water molecules, the water in the center of the SWCNT and the water surrounding the absorbed outer water layer. Here we consider the absorbed water layers as infinitesimally thin shells, which interact with the nanotube via a continuum Lennard-Jones potential and find that the interactions of SWCNT and the water layer are responsible for an upshift in the frequency of the SWCNT and the total upshift is approximately the sum of the two corresponding upshifts. The vdW interactions also cause the increase of the frequency of internal and external water shells. As we all know, the wettability is highly relevant with the use of CNTs in nanofluidics devices, so the effects of local environment on the dynamical behaviors of CNTs should be lucubrated. We hope that the paper can offer a new modeling approach to determine whether carbon nanotubes have adsorbed fluids inside their pores and could be used for detecting changes in their filling state. | |||
TO cite this article:YAN Yan,WANG Wenquan. The effect of wettability on the dynamical behaviors of single-walled carbon nanotube[OL].[28 March 2013] http://en.paper.edu.cn/en_releasepaper/content/4534206 |
10. Stability analysis of double-walled carbon nanotubes with initial stress | |||
YAN Yan,WANG Wenquan | |||
Mechanics 28 March 2013 | |||
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Abstract:In the paper, the stability of the double-walled carbon nanotubes (DWCNTs) under the initial axial stress are studied. Galerkin and harmonic balance method are used to analyze the relation between the amplitudes and the frequencies of the tubes. The results show that the critical initial stress plays a significant control role in the amplitude-frequency curves. When the initial axial stress is less than the critical initial stress, DWCNTs have twice dynamical mode transitions corresponding to twice noncoaxial vibrations, however, when the initial axial stress is larger than the critical initial stress, the topological forms of the amplitude-frequency curve are changeable, which are corresponding to coaxial vibration or three possible noncoaxial vibration type. Since noncoaxial vibration will distort otherwise concentric geometry of multiwall carbon nanotubes, it could crucially affect their physical (such as electronicl) properties. | |||
TO cite this article:YAN Yan,WANG Wenquan. Stability analysis of double-walled carbon nanotubes with initial stress[OL].[28 March 2013] http://en.paper.edu.cn/en_releasepaper/content/4534203 |
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