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Your search keyword '"Zhong, Weizhou"' showing total 21 results
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21 results on '"Zhong, Weizhou"'

9. Bullet-resistant performance of spruce in a sandwich structure

Author

He Liling, Zhong Weizhou, Zhang Fangju, Lv Ming, Wei Fayuan, and Yue Xiaohong

Subjects
Mechanics of Materials, Mechanical Engineering, Automotive Engineering, Aerospace Engineering, Ocean Engineering, Safety, Risk, Reliability and Quality, Civil and Structural Engineering
Published
2023

10. A Class of PDEs with Nonlinear Superposition Principles

Author

Li Peng, Liu Keying, Pan Zuliang, and Zhong Weizhou

Subjects
Mathematics, QA1-939
Abstract

Through assuming that nonlinear superposition principles (NLSPs) are embedded in a Lie group, a class of 3rd-order PDEs is derived from a general determining equation that determine the invariant group. The corresponding NLSPs and transformation to linearize the nonlinear PDE are found, hence the governing PDE is proved C-integrable. In the end, some applications of the PDEs are explained, which shows that the result has very subtle relations with linearization of partial differential equation.

Published
2012
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15. Numerical Simulation on the specimen dynamic plastic deformation behaviour in the torsional split Hopkinson bar test

Author

Chen Junhong, Chen Gang, Zhong Weizhou, and Huang Xicheng

Subjects
Materials science, Computer simulation, Quantitative Biology::Tissues and Organs, Physics, QC1-999, Stress–strain curve, 02 engineering and technology, Split-Hopkinson pressure bar, Strain rate, 021001 nanoscience & nanotechnology, Signal on, High strain, 020303 mechanical engineering & transports, 0203 mechanical engineering, Shear (geology), Composite material, 0210 nano-technology, Material properties
Abstract

The torsional split Hopkinson bar (SHB) is an important method to study the dynamic shear behaviour and shear localization of materials under high strain rates. Different specimen sizes were used in literatures, and the size of the specimen might have an effect on the experimental results. Numerical simulation on torsional SHB tests was carried out with LS-DYNA. The strain signal on the incident and transmitted bars were obtained from the simulation just as the experiment. Then the numerical strain-stress relationship of the material was derived from the numerical strain signal using the experiments data process of torsional SHB. The agreement between numerically derived strain-stress results and the specimen material properties specified in numerical modelling indicates that the torsional SHB is applicable to study the dynamic shear behaviour of materials under high strain rates. The specimen gauge diameter has no significant effect on the dynamic torsional test result. However, higher adhesive strength is required to fix the larger gauge diameter specimen on the bars. The specimen gauge thickness has little effect on the experimental results with a modified formula to calculate the specimen stress. Still, the increase of specimen gauge thickness will lead to the increase of non-uniformity of specimen stress and strain (strain rate). Based on the simulation analysis, suggestions on the specimen size design are given as well.

Published
2018

17. Global Dynamics of Rational Difference Equations xn+1=xn+xn-1/q+ynyn-1 and yn+1=yn+yn-1/p+xnxn-1.

Author

Liu, Keying, Li, Peng, and Zhong, Weizhou

Subjects
NONLINEAR difference equations, STOCHASTIC convergence, COORDINATES, MATHEMATICAL models of finance, MATHEMATICAL statistics
Abstract

Global dynamics of a system of nonlinear difference equations was investigated, which had five kinds of equilibria including isolated points and a continuum of nonhyperbolic equilibria along the coordinate axes. The local stability of these equilibria was analyzed which led to nine regions in the parameters space. The solution of the system converged to the equilibria or the boundary point (+∞,0) or (0,+∞) in each region depending on nonnegative initial conditions. These results completely described the behavior of the system. [ABSTRACT FROM AUTHOR]

Published
2017
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19. On the Behavior of a System of Rational Difference Equations Xn+1 = Xn-1/(YnXn-1-1), Yn+1 = Yn-1/(XnYn-1-1), Zn+1 = 1/XnZn-1.

Author

Liu Keying, Wei Zhiqiang, Li Peng, and Zhong Weizhou

Subjects
DIFFERENCE equations, ASYMPTOTES, EQUATIONS, DIFFERENCE sets, ANALYTIC geometry
Abstract

We are concerned with a three-dimensional system of rational difference equations with nonzero initial values. We present solutions of the system in an explicit way and obtain the asymptotical behavior of solutions. [ABSTRACT FROM AUTHOR]

Published
2012
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20. Global Dynamics of Rational Difference Equations xn+1=xn+xn-1/q+ynyn-1 and yn+1=yn+yn-1/p+xnxn-1.

Author

Liu, Keying, Li, Peng, and Zhong, Weizhou

Subjects
*NONLINEAR difference equations, *STOCHASTIC convergence, *COORDINATES, *MATHEMATICAL models of finance, *MATHEMATICAL statistics
Abstract

Global dynamics of a system of nonlinear difference equations was investigated, which had five kinds of equilibria including isolated points and a continuum of nonhyperbolic equilibria along the coordinate axes. The local stability of these equilibria was analyzed which led to nine regions in the parameters space. The solution of the system converged to the equilibria or the boundary point (+∞,0) or (0,+∞) in each region depending on nonnegative initial conditions. These results completely described the behavior of the system. [ABSTRACT FROM AUTHOR]

Published
2017
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21. On the Behavior of a System of Rational Difference Equations Xn+1 = Xn-1/(YnXn-1-1), Yn+1 = Yn-1/(XnYn-1-1), Zn+1 = 1/XnZn-1.

Author

Liu Keying, Wei Zhiqiang, Li Peng, and Zhong Weizhou

Subjects
*DIFFERENCE equations, *ASYMPTOTES, *EQUATIONS, *DIFFERENCE sets, *ANALYTIC geometry
Abstract

We are concerned with a three-dimensional system of rational difference equations with nonzero initial values. We present solutions of the system in an explicit way and obtain the asymptotical behavior of solutions. [ABSTRACT FROM AUTHOR]

Published
2012
Full Text
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