Maximum spreading of liquid droplets impact on concentric ring-textured surfaces: Theoretical analysis and numerical simulation

We investigate the vibrational resonance by the numerical simulation and theoretical analysis in an overdamped system with fractional order potential nonlinearities. The nonlinearity is a fractional power function with deflection, in which the response amplitude presents vibrational resonance phenomenon for any value of the fractional exponent. The response amplitude of vibrational resonance at low-frequency is deduced by the method of direct separation of slow and fast motions. The results derived from the theoretical analysis are in good agreement with those of numerical simulation. The response amplitude decreases with the increase of the fractional exponent for weak excitations. The amplitude of the high-frequency excitation can induce the vibrational resonance to achieve the optimal response amplitude. For the overdamped systems, the nonlinearity is the crucial and necessary condition to induce vibrational resonance. The response amplitude in the nonlinear system is usually not larger than that in the corresponding linear system. Hence, the nonlinearity is not a sufficient factor to amplify the response to the low-frequency excitation. Furthermore, the resonance may be also induced by only a single excitation acting on the nonlinear system. The theoretical analysis further proves the correctness of the numerical simulation. The results might be valuable in weak signal processing.

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Theoretical Analysis and Numerical Simulation of Laser to Rock

Chinese Journal of Lasers ◽

10.3788/cjl20083508.1245 ◽

2008 ◽

Vol 35 (8) ◽

pp. 1245-1249 ◽

Cited By ~ 1

Author(s):

李密 Li Mi ◽

王岩楼 Wang Yanlou ◽

王亚丽 Wang Yali ◽

张传绪 Zhang Chuanxu ◽

刘军 Liu Jun

Keyword(s):

Numerical Simulation ◽

Theoretical Analysis

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Nonsingular PNG-Based Impact Time Control Guidance with Lower Dependence on Time-to-Go Estimate

International Journal of Aerospace Engineering ◽

10.1155/2019/5031245 ◽

2019 ◽

Vol 2019 ◽

pp. 1-14

Author(s):

Sijiang Chang ◽

Shengfu Chen

Keyword(s):

Numerical Simulation ◽

Theoretical Analysis ◽

Research Literature ◽

Proportional Navigation ◽

Impact Time ◽

Time Control ◽

Practical Engineering ◽

Adjustable Range ◽

Natural Characteristics ◽

Proportional Navigation Guidance

In a bid to take advantage of natural characteristics of the proportional navigation guidance (PNG) in practical engineering, the PNG-based impact time control guidance (ITCG) continues to be a popular alternative for achieving the desired impact time of a missile. For most such ITCG, the performance is dependent on the accuracy of the time-to-go estimation. Along the lines of the development of PNG-based ITCG in earlier studies, a nonsingular ITCG is proposed on the basis of nonlinear formulations. It is demonstrated that, by theoretical analysis and numerical simulation, this proposed ITCG is shown to be advantageous in certain circumstances. By deriving a novel additional acceleration command, the proposed law is of lower dependence on time-to-go estimate and is capable of eliminating some singularities, leading to wider adjustable range of the desired impact time and better adaptability to more conditions. This research is expected to be supplementary to those presented in the current research literature.

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Optimization of staggered distance of coal pillars in multiseam mining: Theoretical analysis and numerical simulation

Energy Science & Engineering ◽

10.1002/ese3.824 ◽

2020 ◽

Author(s):

Xueyang Sun ◽

Mingjiao Lu ◽

Cheng Li

Keyword(s):

Numerical Simulation ◽

Theoretical Analysis ◽

Coal Pillars

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CHAOTIC SECURE COMMUNICATION BASED ON THE CONCEPT OF EQUIVALENT CONTROL

International Journal of Bifurcation and Chaos ◽

10.1142/s0218127406014897 ◽

2006 ◽

Vol 16 (02) ◽

pp. 419-425 ◽

Cited By ~ 6

Author(s):

MAO-YIN CHEN ◽

DONG-HUA ZHOU ◽

YUN SHANG

Keyword(s):

Numerical Simulation ◽

Theoretical Analysis ◽

Secure Communication ◽

Sliding Mode ◽

Higher Order ◽

Order System ◽

Augmented System ◽

Response System ◽

Equivalent Control ◽

Chaotic Secure Communication

This Letter considers the problem of chaotic secure communication in the drive-response framework. The drive system can be augmented into a higher order system, and then a sliding mode observer based response system can be constructed to synchronize this augmented system. If they satisfy certain conditions, the hidden message can be recovered directly by the concept of equivalent control. Theoretical analysis and numerical simulation verify the effectiveness of the proposed method.

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