21207 Dynamic Stability and Numerical Simulation of Curtain Cables Subjected to Periodic Excitation

2005 ◽  
Vol 2005.11 (0) ◽  
pp. 435-436
Author(s):  
Kazumasa Furuta ◽  
Masato Ogawa ◽  
Masahiro Watanabe ◽  
Nobuyuki Kobayashi
Keyword(s):  
Numerical Simulation ◽  
Dynamic Stability ◽  
Periodic Excitation

4021 Dynamic behavior and Numerical Simulation of Catenary-Cable Subjected to Periodic Excitation

2005 ◽  
Vol 2005.7 (0) ◽  
pp. 323-324
Author(s):  
Masato OGAWA ◽  
Kazuma FURUTA ◽  
Masahiro WATANABE ◽  
Nobuyuki KOBAYASHI ◽  
Hideaki TANAKA
Keyword(s):  
Numerical Simulation ◽  
Dynamic Behavior ◽  
Periodic Excitation

Numerical Simulation of Dynamic Stability of Fractional Stochastic Systems

2018 ◽  
Vol 18 (10) ◽  
pp. 1850128 ◽  
Author(s):  
Jian Deng
Keyword(s):  
Numerical Simulation ◽  
Lyapunov Exponent ◽  
Dynamic Stability ◽  
Stochastic Systems ◽  
Simulation Method ◽  
Largest Lyapunov Exponent ◽  
Stochastic Dynamic ◽  
Data Normalization ◽  
Moment Lyapunov Exponent ◽  
The Largest Lyapunov Exponent

The modern theory of stochastic dynamic stability is founded on two main exponents: the largest Lyapunov exponent and moment Lyapunov exponent. Since any fractional viscoelastic system is indeed a system with memory, data normalization during iterations will disregard past values of the response and therefore the use of data normalization seems not appropriate in numerical simulation of such systems. A new numerical simulation method is proposed for determining the [Formula: see text]th moment Lyapunov exponent, which governs the [Formula: see text]th moment stability of the fractional stochastic systems. The largest Lyapunov exponent can also be obtained from moment Lyapunov exponents. Examples of the two-dimensional fractional systems under wideband noise and bounded noise excitations are presented to illustrate the simulation method.

APPLICATION OF CYCLOSTATIONARY PROPERTIES OF PERIODIC SIGNALS FOR POWER ANALYSIS IN ELECTRIC CIRCUITS

2021 ◽  
Author(s):  
Т.Я. ШЕВГУНОВ ◽  
О.А. ГУЩИНА
Keyword(s):  
Numerical Simulation ◽  
Power Analysis ◽  
Covariance Function ◽  
Periodic Excitation ◽  
Linear Circuit ◽  
Electric Circuits ◽  
Instantaneous Power ◽  
Periodic Signals

Предложен циклостационарный подход к анализу мощности электрических цепей, возбуждаемых источниками периодических токов и напряжений. Получены теоретические выражения для характеристик мгновенной мощности на основе взаимной спектральной ковариационной функции и показана их связь со средней и полной мощностью. Проведен анализ гармонического распределения мощности в линейной цепи при периодическом воздействии. На примере численного расчета резонансной цепи продемонстрированы этапы циклостационарного анализа и получены основные характеристики мощности. The paper proposes a cyclostationary approach to the power analysis for electric circuits excited by sources of periodic currentsorvoltages.Theformalexpressions forcharacteristics of instantaneous power are obtained on the basis of cross spectral covariance function and their relation to the average and apparent power is established. The analysis of the harmonic distribution of the power in a linear circuit under periodic excitation is carried out. The main stages of the method are illustrated with a numerical simulation example.

scholarly journals Quasi-periodic excitation and dynamic stability for strained superlattice

2013 ◽  
Vol 62 (24) ◽  
pp. 247301
Author(s):  
Luo Xiao-Hua ◽  
He Wei ◽  
Wu Mu-Ying ◽  
Luo Shi-Yu
Keyword(s):  
Dynamic Stability ◽  
Periodic Excitation
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