Research on chaos and nonlinear rolling stability of a rotary-molded boat

Qi-guo, Yao; Liu, Yuliang

doi:10.1007/s11071-015-2576-1

Cited by 5 publications

(2 citation statements)

References 10 publications

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“…Jing et al researched the self-righting performance of a 10 m rescue boat with different trims, gravity centers and water displacements through NAPA [11]. Yao et al established a nonlinear roll equation of a rotary-molded boat based on nonlinear feature analysis of restoring torques and damping torques [12]. Then, they dissected its dynamic characteristic of rolling motion via the simulation.…”

Section: Introductionmentioning

confidence: 99%

Numerical Computation of Restoring Time and Prediction of Self-Righting Process

Liu,

Hou

2024

JMSE

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Excellent self-righting performance is important to guarantee the normal navigation of Unmanned Surface Vehicles (USVs) after overturning, and the restoring time is an important index in design requirements. Traditionally, the static stability method and experiments on full-scale vehicles were used to analyze the large-angle stability of the USV. However, when it comes to the analysis of self-righting performance, the traditional static stability method will cause improper integration, and experiments are not convenient. To solve these problems, an improved static stability method was proposed, and a whole self-righting process simulation of a physical model was finished. The numerical simulation method was used to predict the self-righting process of a USV under four working conditions. Firstly, a midpoint average method based on the static stability theory was adopted to compute the static restoring time, and the results were compared with the results of the references, which verifies the effectiveness of the midpoint average method. Also, the midpoint average method is convenient because it only needs the restoring arm curve, the width and the gravity center height. Then, a numerical simulation of a physical model in static water was finished, and an experiment for a physical model in a towing tank was conducted. Comparing the restoring time of the midpoint average method, the numerical simulation and the experiment, the results show that the numerical simulation has high accuracy. Moreover, the numerical simulation was used to predict the self-righting process and analyze the self-righting performance of a USV under four working conditions.

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Section: Introductionmentioning

confidence: 99%

Numerical Computation of Restoring Time and Prediction of Self-Righting Process

Liu,

Hou

2024

JMSE

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“…For example, based on the improved Chua's system, Li et al proposed an infinitescroll chaotic system by employing the sine function, and the number of scrolls increases with the increase of the calculating period of the implemented chaotic system. [17] Based on the Jerk system, Wang et al designed a multi-scroll chaotic system by employing a nested sine-PWL function. [18] On the basis of the Jerk system, Ding et al presented a grid multi-scroll chaotic system by employing sign function series and a mod-ifying sine nonlinear function, which can generate (m × n)scroll chaotic attractors.…”

Section: Introductionmentioning

confidence: 99%

Design and FPGA implementation of a memristor-based multi-scroll hyperchaotic system

Jia

Shi

et al. 2022

Chinese Phys. B

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In this paper, a novel memristor-based multi-scroll hyperchaotic system is proposed. Based on a voltage-controlled memristor and a modulating sine nonlinear function, a novel method is proposed to generate the multi-scroll hyperchaotic attractors. First, a multi-scroll chaotic system is constructed from a three-dimensional chaotic system by designing a modulating sine nonlinear function. Then, a voltage-controlled memristor is introduced into the above-designed multi-scroll chaotic system. Thus, a memristor-based multi-scroll hyperchaotic system is generated, and this hyperchaotic system can produce various coexisting hyperchaotic attractors with different topological structures. Moreover, different number of scrolls and different topological attractors can be obtained by varying the initial conditions of this system without changing the system parameters. The Lyapunov exponents, bifurcation diagrams and basins of attraction are given to analyze the dynamical characteristics of the multi-scroll hyperchaotic system. Besides, the FPGA-based digital implementation of the memristor-based multi-scroll hyperchaotic system is carried out. The experimental results of the FPGA-based digital circuit are displayed on the oscilloscope.

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