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Ruilan Tian
State Key Laboratory of Mechanical Behavior and System Safety of Traffic Engineering Structures, Shijiazhuang Tiedao University, Shijiazhuang, China

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Computation and theory
Published: 27 May 2021 in Journal of Materials Science
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Based on the butterfly pattern structure and the star-shaped honeycomb structure, a novel auxetic butterfly-shaped honeycomb structure (BSH) was constructed, which realized the coupling improvement of negative Poisson’s ratio and in-plane stiffness. Under uniaxial tension, the equivalent elastic modulus and Poisson's ratio of the BSH structure were derived by the energy method. The relationship between Poisson's ratio and structural parameters of the BSH structure was discussed to optimize the structural parameters by numerical analysis. Poisson’s ratio and relative elastic modulus were taken as the objective function groups. The Pareto solution set was obtained by the Gamultiobj multi-objective genetic algorithm method. The Pareto solution set was sorted based on the entropy-weight TOPSIS method, and the optimal solution was selected as the solution of the novel structure optimization design. The correctness of the theoretical results was verified by the finite element analysis and experiment results. Furthermore, compared with the traditional re-entrant hexagonal honeycomb structure and the star-shaped honeycomb structure, the relative elastic modulus and auxetic effect of the BSH structure were greatly improved, and the stiffness of the novel structure was improved while maintaining a high auxetic effect.

ACS Style

Ziwen Zhang; Ruilan Tian; Xiaolong Zhang; Fangyi Wei; Xinwei Yang. A novel butterfly-shaped auxetic structure with negative Poisson’s ratio and enhanced stiffness. Journal of Materials Science 2021, 56, 14139 -14156.

AMA Style

Ziwen Zhang, Ruilan Tian, Xiaolong Zhang, Fangyi Wei, Xinwei Yang. A novel butterfly-shaped auxetic structure with negative Poisson’s ratio and enhanced stiffness. Journal of Materials Science. 2021; 56 (25):14139-14156.

Chicago/Turabian Style

Ziwen Zhang; Ruilan Tian; Xiaolong Zhang; Fangyi Wei; Xinwei Yang. 2021. "A novel butterfly-shaped auxetic structure with negative Poisson’s ratio and enhanced stiffness." Journal of Materials Science 56, no. 25: 14139-14156.

Research article
Published: 11 February 2021 in Shock and Vibration
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Smoothness and discontinuous (SD) oscillator is a nonlinear oscillator with the variable frequency, whose frequency can be varied with the smoothing parameter. However, how to adjust the smoothing parameter has not been solved in the actual device. In this paper, the shape memory alloy (SMA) is introduced into the SD oscillator to form the SMA-SD oscillator to adjust the smoothing parameters. Combining the SMA-SD oscillator with MRF, a nonlinear dynamic vibration absorber (DVA) with variable frequency and damping is designed. The structure and control principle of the designed DVA is studied to achieve the two variable characteristics simultaneously by adjusting the current intensity. Numerical results on a two-degree-of-freedom coupled system show that the proposed DVA can adapt to different working conditions only by adjusting the current intensity.

ACS Style

Tian Wang; Ruilan Tian; Xinwei Yang; Ziwen Zhang; Xiaolong Zhang. A Novel Dynamic Absorber with Variable Frequency and Damping. Shock and Vibration 2021, 2021, 1 -10.

AMA Style

Tian Wang, Ruilan Tian, Xinwei Yang, Ziwen Zhang, Xiaolong Zhang. A Novel Dynamic Absorber with Variable Frequency and Damping. Shock and Vibration. 2021; 2021 ():1-10.

Chicago/Turabian Style

Tian Wang; Ruilan Tian; Xinwei Yang; Ziwen Zhang; Xiaolong Zhang. 2021. "A Novel Dynamic Absorber with Variable Frequency and Damping." Shock and Vibration 2021, no. : 1-10.

Article
Published: 13 May 2020 in Science China Technological Sciences
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A variable scale-convex-peak method is constructed to identify the frequency of weak harmonic signal. The key of this method is to find a set of optimal identification coefficients to make the transition of dynamic behavior topologically persistent. By the stochastic Melnikov method, the lower bound of the chaotic threshold continuous function is obtained in the mean-square sense. The intermediate value theorem is applied to detect the optimal identification coefficients. For the designated identification system, there is a valuable co-frequency-convex-peak in bifurcation diagram, which indicates the state transition of chaos-period-chaos. With the change of the weak signal amplitude and external noise intensity in a certain range, the convex peak phenomenon is still maintained, which leads to the identification of frequency. Furthermore, the proposition of the existence of reversible scaling transformation is introduced to detect the frequency of the harmonic signal in engineering. The feasibility of constructing the hardware and software platforms of the variable scale-convex-peak method is verified by the experimental results of circuit design and the results of early fault diagnosis of actual bearings, respectively.

ACS Style

Ruilan Tian; Zhijie Zhao; Yong Xu. Variable scale-convex-peak method for weak signal detection. Science China Technological Sciences 2020, 64, 331 -340.

AMA Style

Ruilan Tian, Zhijie Zhao, Yong Xu. Variable scale-convex-peak method for weak signal detection. Science China Technological Sciences. 2020; 64 (2):331-340.

Chicago/Turabian Style

Ruilan Tian; Zhijie Zhao; Yong Xu. 2020. "Variable scale-convex-peak method for weak signal detection." Science China Technological Sciences 64, no. 2: 331-340.

Journal article
Published: 06 July 2019 in Symmetry
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In this paper, a double pendulum model is presented with unilateral rigid constraint under harmonic excitation, which leads to be an asymmetric and non-smooth system. By introducing impact recovery matrix, modal analysis, and matrix theory, the analytical expressions of the periodic solutions for unilateral double-collision will be discussed in high-dimensional non-smooth asymmetric system. Firstly, the impact laws are classified in order to detect the existence of periodic solutions of the system. The impact recovery matrix is introduced to transform the impact laws of high-dimensional system into matrix. Furthermore, by use of modal analysis and matrix theory, an invertible transformation is constructed to obtain the parameter conditions for the existence of the impact periodic solution, which simplifies the calculation and can be easily extended to high-dimensional non-smooth system. Hence, the range of physical parameters and the restitution coefficients is calculated theoretically and non-smooth analytic expression of the periodic solution is given, which provides ideas for the study of approximate analytical solutions of high-dimensional non-smooth system. Finally, numerical simulation is carried out to obtain the impact periodic solution of the system with small angle motion.

ACS Style

Xiuying Guo; Gang Zhang; Ruilan Tian. Periodic Solution of a Non-Smooth Double Pendulum with Unilateral Rigid Constrain. Symmetry 2019, 11, 886 .

AMA Style

Xiuying Guo, Gang Zhang, Ruilan Tian. Periodic Solution of a Non-Smooth Double Pendulum with Unilateral Rigid Constrain. Symmetry. 2019; 11 (7):886.

Chicago/Turabian Style

Xiuying Guo; Gang Zhang; Ruilan Tian. 2019. "Periodic Solution of a Non-Smooth Double Pendulum with Unilateral Rigid Constrain." Symmetry 11, no. 7: 886.

Journal article
Published: 16 May 2019 in Symmetry
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In this article, we present a new accurate iterative and asymptotic method to construct analytical periodic solutions for a strongly nonlinear system, even if it is not Z2-symmetric. This method is applicable not only to a conservative system but also to a non-conservative system with a limit cycle response. Distinct from the general harmonic balance method, it depends on balancing a few trigonometric terms (at most five terms) in the energy equation of the nonlinear system. According to this iterative approach, the dynamic frequency is a trigonometric function that varies with time t, which represents the influence of derivatives of the higher harmonic terms in a compact form and leads to a significant reduction of calculation workload. Two examples were solved and numerical solutions are presented to illustrate the effectiveness and convenience of the method. Based on the present method, we also outline a modified energy balance method to further simplify the procedure of higher order computation. Finally, a nonlinear strength index is introduced to automatically identify the strength of nonlinearity and classify the suitable strategies.

ACS Style

Zhiwei Zhang; Yingjie Wang; Wei Wang; Ruilan Tian; Wang; Tian. Periodic Solution of the Strongly Nonlinear Asymmetry System with the Dynamic Frequency Method. Symmetry 2019, 11, 676 .

AMA Style

Zhiwei Zhang, Yingjie Wang, Wei Wang, Ruilan Tian, Wang, Tian. Periodic Solution of the Strongly Nonlinear Asymmetry System with the Dynamic Frequency Method. Symmetry. 2019; 11 (5):676.

Chicago/Turabian Style

Zhiwei Zhang; Yingjie Wang; Wei Wang; Ruilan Tian; Wang; Tian. 2019. "Periodic Solution of the Strongly Nonlinear Asymmetry System with the Dynamic Frequency Method." Symmetry 11, no. 5: 676.

Journal article
Published: 19 December 2018 in Applied Sciences
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In order to systematically study the rutting resistance performance of High-Modulus Asphalt Concrete (HMAC) pavements, a finite element method model of HMAC pavement was established using ABAQUS software. Based on the viscoelasticity theory of asphalt, the stress and deformation distribution characteristics of HMAC pavement were studied and compared to conventional asphalt pavement under moving loads. Then, the pavement temperature field model was established to study the temperature variation and the thermal stress in HMAC pavement. Finally, under the condition of continuous temperature variation, the creep behavior and permanent deformation of HMAC pavement were investigated. The results showed that under the action of moving loads, the strain and displacement generated in HMAC pavement were lower than those in conventional asphalt pavement. The upper surface layer was most obviously affected by outside air temperature, resulting in maximum thermal stress. Lastly, under the condition of continuous temperature change, HMAC pavement could greatly reduce the deformation of asphalt material in each surface layer compared to conventional asphalt pavement.

ACS Style

Chundi Si; Hang Cao; Enli Chen; Zhanping You; Ruilan Tian; Ran Zhang; Junfeng Gao. Dynamic Response Analysis of Rutting Resistance Performance of High Modulus Asphalt Concrete Pavement. Applied Sciences 2018, 8, 2701 .

AMA Style

Chundi Si, Hang Cao, Enli Chen, Zhanping You, Ruilan Tian, Ran Zhang, Junfeng Gao. Dynamic Response Analysis of Rutting Resistance Performance of High Modulus Asphalt Concrete Pavement. Applied Sciences. 2018; 8 (12):2701.

Chicago/Turabian Style

Chundi Si; Hang Cao; Enli Chen; Zhanping You; Ruilan Tian; Ran Zhang; Junfeng Gao. 2018. "Dynamic Response Analysis of Rutting Resistance Performance of High Modulus Asphalt Concrete Pavement." Applied Sciences 8, no. 12: 2701.

Journal article
Published: 19 December 2013 in The European Physical Journal Plus
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A novel model comprised of a lumped mass linked with a pair of inclined elastic stiff springs is proposed, which can be regarded as a smooth and discontinuous oscillator under constant excitation, i.e., CSD (originally introduced in Chin. Phys. Lett. 29, 0847061-4 (2012)), vibrating vertically and laterally. Of particular concern is the influence of the parameters on its steady-state response. Neglecting its lateral vibration, the system is a single-degree-of-freedom system, i.e., the CSD oscillator, whose amplitude-frequency response curves were studied by using average method and elliptical integral. The third-order approximation form of the two-degree-of-freedom system was introduced and the amplitude-frequency response curves were obtained. By simulating the original system and the approximation one using the Matlab software, we obtained phase portraits, Poincaré sections, bifurcations and maximum Lyapunov exponents of the two systems. And the practicality of the approximation system was certified by comparing the characteristics of bifurcations and chaos of the two systems, which can offer theoretical foundations for practical engineering.

ACS Style

Xinwei Yang; Ruilan Tian; Qin Zhang. Study on dynamical behaviors of the spring-pendulum system with an irrational and fractional nonlinear restoring force. The European Physical Journal Plus 2013, 128, 159 .

AMA Style

Xinwei Yang, Ruilan Tian, Qin Zhang. Study on dynamical behaviors of the spring-pendulum system with an irrational and fractional nonlinear restoring force. The European Physical Journal Plus. 2013; 128 (12):159.

Chicago/Turabian Style

Xinwei Yang; Ruilan Tian; Qin Zhang. 2013. "Study on dynamical behaviors of the spring-pendulum system with an irrational and fractional nonlinear restoring force." The European Physical Journal Plus 128, no. 12: 159.

Journal article
Published: 01 December 2013 in Chinese Physics B
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A novel model is proposed which comprises of a beam bridge subjected to an axial load and an infinite series of moving loads. The moving loads, whose distance between the neighbouring ones is the length of the beam bridge, coupled with the axial force can lead the vibration of the beam bridge to codimension-two bifurcation. Of particular concern is a parameter regime where non-persistence set regions undergo a transition to persistence regions. The boundary of each stripe represents a bifurcation which can drive the system off a kind of dynamics and jump to another one, causing damage due to the resulting amplitude jumps. The Galerkin method, averaging method, invertible linear transformation, and near identity nonlinear transformations are used to obtain the universal unfolding for the codimension-two bifurcation of the mid-span deflection. The efficiency of the theoretical analysis obtained in this paper is verified via numerical simulations.

ACS Style

Xin-Wei Yang; Rui-Lan Tian; Hai-Tao Li; Yang Xin-Wei; Tian Rui-Lan; Li Hai-Tao. Codimension-two bifurcation of axial loaded beam bridge subjected to an infinite series of moving loads. Chinese Physics B 2013, 22, 120502 .

AMA Style

Xin-Wei Yang, Rui-Lan Tian, Hai-Tao Li, Yang Xin-Wei, Tian Rui-Lan, Li Hai-Tao. Codimension-two bifurcation of axial loaded beam bridge subjected to an infinite series of moving loads. Chinese Physics B. 2013; 22 (12):120502.

Chicago/Turabian Style

Xin-Wei Yang; Rui-Lan Tian; Hai-Tao Li; Yang Xin-Wei; Tian Rui-Lan; Li Hai-Tao. 2013. "Codimension-two bifurcation of axial loaded beam bridge subjected to an infinite series of moving loads." Chinese Physics B 22, no. 12: 120502.