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1. 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 |
2. 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 |
3. Joint optimization of firing orders and firing intervals for Multiple Launch Rockets System | |||
Tang Wenbing,Rui Xiaoting,Wang Guoping | |||
Mechanics 30 December 2014 | |||
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Abstract:Transfer matrix method for multibody system (MSTMM) is a new and efficient method for multibody system dynamics (MSD) developed in recent 20 years. Based on many advantages of MSTMM in studying MSD, the dynamics model and the dynamics simulation system for multiple launch rockets system (MLRS) are established. Joint optimization variables of firing orders and firing intervals are presented, combining with the Genetic Algorithms, the optimal design with the purpose of the best firing dispersion of MLRS is implemented. The optimal scheme is got and the firing dispersion has been increased 32.3%. Optimal design of firing orders and firing intervals is a low-cost and efficient way to improve the firing dispersion of MLRS. | |||
TO cite this article:Tang Wenbing,Rui Xiaoting,Wang Guoping. Joint optimization of firing orders and firing intervals for Multiple Launch Rockets System[OL].[30 December 2014] http://en.paper.edu.cn/en_releasepaper/content/4625752 |
4. Design of visual dynamics software of transfer matrix method for multibody system | |||
Rui Xiaoting,Yang Haigen,Gu Junjie,Zhang Jianshu,Zhou Qinbo | |||
Mechanics 28 December 2014 | |||
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Abstract:In order to achieve the simulation of multibody system dynamics and the visualization of the process and results rapidly, a new and large-scale software named MSTMMSim is designed and implemented. This software use transfer matrix method for multibody system (MSTMM) as the core of dynamics modeling and computation. And the Open CASCADE is used to generate the solid geometric figure. The proposed software solves the problems that the global dynamics equations of the system are necessary to be developed and the orders of the involved system matrices are too high to meet the engineering requirements of fast computation, in the research of general multibody system dynamics. The MSTMMSim comprises three components: the pre-processor, the MSTMM solver and the post-processor. The pre-processor contains physical and dynamics modeling. The solver applies MSTMM to call the dynamics model generated by the pre-processor, and get the computational results by iteration. The post-processor provides various auxiliary analytical tools such as curve and animation to analyze and process the results. The MSTMMSim has the following features and abilities: rapid computation of mulitbody system dynamics, direct calling CAD files, automatic generation of the computation parameters and results, data analysis and processing, dynamics process visualization and so on. Engineering application are given to verify the validity and accuracy of the software and to show that the software has friendly interface, fast computation speed, high level of visualization, and broad scope of application. Practice simulation indicates that the software provides an effective digital platform of fast dynamics calculation, design, analysis and optimization for complex mechanical systems. | |||
TO cite this article:Rui Xiaoting,Yang Haigen,Gu Junjie, et al. Design of visual dynamics software of transfer matrix method for multibody system[OL].[28 December 2014] http://en.paper.edu.cn/en_releasepaper/content/4625749 |
5. Molecular dynamics simulations of nanoscale Poiseuille flow | |||
Hu Haibao,Bao Luyao | |||
Mechanics 29 October 2014 | |||
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Abstract:The studies about microcosmic flow behavior on hydrophobic surfaces are important for exploring the drag reduction mechanism in detail. To elucidate the slip behavior of nanoscale Poiseuille flow with different wettability boundary, we have investigated parametrically the effects of wall-fluid interaction and driving force on the slippage, using the nonequilibrium molecular dynamics simulation method. The results obtained show that the average velocity and slip length firstly increase and then decrease with the increase of wall fluid interaction, which are quite strange to the common notion. And an underlying molecular-kinetic mechanism about this phenomenon is implied. Meanwhile the results of various driving forces also reveal that driving force affects density distributions slightly, but velocity distributions and slip lengths significantly in the hydrophobic nanochannel. | |||
TO cite this article:Hu Haibao,Bao Luyao. Molecular dynamics simulations of nanoscale Poiseuille flow[OL].[29 October 2014] http://en.paper.edu.cn/en_releasepaper/content/4613937 |
6. An approach for the numerical simulation of ultra-high speed compressible supercavitating flows | |||
Ying Chen,Chuanjing Lu,Xin Chen,Jie Li,Jiayi Cao | |||
Mechanics 04 July 2014 | |||
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Abstract:Ultra-high speed projectile running in water with the velocity close to the speed of sound usually causes large supercavity. For the computation of such transonic cavitating flows, a high-speed model reflecting the compressibility of both the liquid and the vapor phases is suggested in this paper. The model is achieved within a self-developed numerical solver and well used to simulate the ultra-high speed subsonic supercavitating flows. An improved TAIT equation corrected with local temperature is adopted as the equation of state (EOS) for the liquid phase, and the Peng-Robinson EOS is used for the vapor phase. A cubic nonlinear eddy viscosity turbulence model (NLEVM) is introduced to provide better treatment on the anisotropic turbulence stresses in the large-scaled swirling flow structure inside the cavity. The ultra-high speed (Ma=0.7) supercavitating flows around disk cavitator and cylindrical object are investigated and compared with the results in low speed (Ma=0.007) condition. The flow variables are reasonably predicted, and the cavity profiles are compared to be close to the experimental empirical formula. An important conclusion in the compressible cavitating flow theory is verified by the numerical result that, at any specific cavitation number the cavity's size and the drag coefficient both increase along with the rise of Mach number. On the contrary, it is found as well that the cavity's slenderness ratio decreases when Mach number goes up. It indicates that the compressibility has different influences on the length and the radius of the supercavity. | |||
TO cite this article:Ying Chen,Chuanjing Lu,Xin Chen, et al. An approach for the numerical simulation of ultra-high speed compressible supercavitating flows[OL].[ 4 July 2014] http://en.paper.edu.cn/en_releasepaper/content/4603442 |
7. The size-dependent natural frequency of a circular nanoplate including different surface effects | |||
ZHOU Shasha,ZHOU Shenjie,LI Anqing,WANG Binglei | |||
Mechanics 13 May 2014 | |||
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Abstract:In this paper, an analytical model of a circular nanoplate including different surface effects on the top and bottom layers is developed, which can be provided to discuss the size-dependent natural frequency of the nanoplate. The governing equation of the circular nanoplate is derived based on the plate theory and the continuum surface elasticity theory. Numerical results are obtained and compared with the previous literature. The results shown that the different surface properties of the top and bottom layers result in the different size-dependence of the natural frequency from the same surface properties of the nanoplate. This study might be helpful for the design of nanoplate-based resonant micro-biochemical sensors and some related researches. | |||
TO cite this article:ZHOU Shasha,ZHOU Shenjie,LI Anqing, et al. The size-dependent natural frequency of a circular nanoplate including different surface effects[OL].[13 May 2014] http://en.paper.edu.cn/en_releasepaper/content/4596536 |
8. Theoretic Solutions of One Directional Flow in Circular Tube | |||
Xiao Jianhua,Wang Jingjing | |||
Mechanics 22 April 2014 | |||
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Abstract:Theoretic solutions are studied to answer the laminar-turbulence transition conditions for one-directional flow. The geometrical equations, strain rate components, and motion equations are formulated by rational mechanics equipped with geometrical field description of instant deformation. The obtained two typical theoretic solutions of velocity section for constant flow is identical with the classical well-known results, as a important soundness-check for the theoretic treatment. The motion equation for general case is solved for high speed flow to get its theoretic solutions. The results show that: theoretically, the velocity field has four possible solution functions for given initial velocity profile, center line velocity function, and fluid feature parameter. As a natural result, the pressure also has four possible functions determined by corresponding velocity function. As an example, the velocity bifurcation near zero-velocity boundary is obtained. Hence, the spatial self-evolution equation of flow velocity for high speed flow may be exposed. | |||
TO cite this article:Xiao Jianhua,Wang Jingjing. Theoretic Solutions of One Directional Flow in Circular Tube[OL].[22 April 2014] http://en.paper.edu.cn/en_releasepaper/content/4594351 |
9. Efficient Sparse Least Squares Support Vector Machines for Regression | |||
SI Gangquan,SHI Jianquan,Guo Zhang | |||
Mechanics 11 March 2014 | |||
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Abstract:To solve the sparseness problem of least squares support vector machine (LSSVM) in learning process, a training algorithm of LSSVM based on active learning is investigated. In the first stage of the algorithm, in order to solve the problem of a large number of similar training data samples, we select support samples by K-means clustering method. The second stage, we obtain a model using LSSVM and conduct function estimation of the all samples, calculating the error of the estimation values and the original samples, sorting support samples and selecting the best sample. Then the selected sample is added into training set to obtain new model. And the processes are repeated until the predetermined performance requirements are achieved, thus the sparse LSSVM model is obtained. The simulation on sinc function indicates that the proposed method performs more effectively than Suykens standard sparse method for removing the redundant support vector with better sparseness and robustness. The experiments on motorcycle dataset of the UCI indicate that the proposed algorithm can solve the problem of heteroscedasticity in some degree. | |||
TO cite this article:SI Gangquan,SHI Jianquan,Guo Zhang. Efficient Sparse Least Squares Support Vector Machines for Regression[OL].[11 March 2014] http://en.paper.edu.cn/en_releasepaper/content/4588863 |
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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