Theoretical Analysis and Numerical Simulation of Particle Impact Dampers

2020 ◽  
pp. 53-141
Author(s):  
Zheng Lu ◽  
Sami F. Masri ◽  
Xilin Lu
Keyword(s):  
Numerical Simulation ◽  
Theoretical Analysis ◽  
Particle Impact

Vibrational Resonance in an Overdamped System with a Fractional Order Potential Nonlinearity

2018 ◽  
Vol 28 (07) ◽  
pp. 1850082 ◽  
Author(s):  
Jianhua Yang ◽  
Dawen Huang ◽  
Miguel A. F. Sanjuán ◽  
Houguang Liu
Keyword(s):  
Numerical Simulation ◽  
Nonlinear System ◽  
Theoretical Analysis ◽  
Fractional Order ◽  
Low Frequency ◽  
Response Amplitude ◽  
Resonance Phenomenon ◽  
Vibrational Resonance ◽  
Frequency Excitation ◽  
Overdamped System

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.

Theoretical Analysis and Numerical Simulation of Laser to Rock

2008 ◽  
Vol 35 (8) ◽  
pp. 1245-1249 ◽  
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

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

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.

CHAOTIC SECURE COMMUNICATION BASED ON THE CONCEPT OF EQUIVALENT CONTROL

2006 ◽  
Vol 16 (02) ◽  
pp. 419-425 ◽  
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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