【摘要】：研究多頻激勵(lì)下不同激勵(lì)頻率比時(shí)快慢耦合系統(tǒng)的各種復(fù)合模態(tài)振蕩的動(dòng)力特性及其產(chǎn)生機(jī)制.以廣義BVP(Bonhoffer-van der Pol)耦合電路為例,通過引入兩個(gè)電壓源控制的電路模塊,建立了具有雙周期激勵(lì)的五階動(dòng)力模型.選定適當(dāng)?shù)膮?shù),使得兩個(gè)激勵(lì)頻率均遠(yuǎn)小于系統(tǒng)的固有頻率,以此考察不同激勵(lì)頻率比下系統(tǒng)的快慢動(dòng)力學(xué)行為.將兩個(gè)外激勵(lì)項(xiàng)轉(zhuǎn)化為一個(gè)慢變量表達(dá)形式,從而將系統(tǒng)分為快慢耦合兩子系統(tǒng).分析了快子系統(tǒng)的平衡點(diǎn)及其分岔?xiàng)l件,探討了不同激勵(lì)頻率比對(duì)復(fù)合模態(tài)振蕩結(jié)構(gòu)的影響,得出系統(tǒng)可能產(chǎn)生原點(diǎn)中心對(duì)稱,軸對(duì)稱和非對(duì)稱的復(fù)合模態(tài)振蕩.給出了系統(tǒng)在6組激勵(lì)頻率下的不同復(fù)合模態(tài)振蕩行為,并進(jìn)一步揭示了其相應(yīng)的產(chǎn)生機(jī)理.
[Abstract]:The dynamic characteristics and generation mechanism of various complex mode oscillations of fast-slow coupling systems with different excitation frequency ratios under multi-frequency excitation are studied. Taking the generalized BVP (Bonhoffer-van der Pol) coupling circuit as an example, a five-order dynamic model with double periodic excitation is established by introducing two voltage source control circuit modules. The proper parameters are chosen so that the two excitation frequencies are far less than the natural frequency of the system, so as to investigate the dynamic behavior of the system under different excitation frequency ratios. Two external excitation terms are transformed into a slow variable expression form, and the system is divided into two subsystems of fast and slow coupling. The equilibrium point and bifurcation conditions of the fast subsystem are analyzed. The influence of different excitation frequency ratios on the complex mode oscillation structure is discussed. It is concluded that the system may produce complex mode oscillation with centrosymmetric axisymmetric and asymmetric origin. The oscillatory behavior of different complex modes of the system at six excitation frequencies is given, and the corresponding mechanism is revealed.
【作者單位】： 江蘇大學(xué)土木工程與力學(xué)學(xué)院;
【基金】：國家自然科學(xué)基金(批準(zhǔn)號(hào):21276115,11572141)資助項(xiàng)目
【分類號(hào)】：O175
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本文編號(hào)：2324914