subharmonic resonance 中文意思是什麼

subharmonic resonance 解釋
次調和共振
  • subharmonic : 次低的
  • resonance : n 1 回聲，反響；【物理學】共鳴，共振；【無線電】（波長的）調諧。2 【化學】中介（現象）。3 【醫學...
  1. In chapter 4, the bifurcation of the complex nonlinear oscillator of van der pol - duffing - mathieu ' s is studied and the common bifurcation property of the oscillator in the situations of nonresonance, principal resonance, ultraharmonic resonance and non - subharmonic resonance is revealed. the bifurcation of strongly nonlinear oscillator is also explored in this chapter

    第四章對非線性振動中最常見的vanderpol - duffing - mathieu復合非線性振子的分岔性質進行了系統的研究，發現了該復合系統在非共振、主共振、超諧共振和非1 2階次諧共振情況下具有相同的分岔特性。
  2. In this paper periodically perturbed hopf bifurcation to lienard equation with limited time delay is sdudied in detail. that is, the influence of small periodic perturbations on system exhibiting hopf bifurcation is sdudied. in particular, the excitation frequency and the critical natural frequency of hopf bifurcation in the cases of harmonic resonance. subharmonic resonance, ultraharmonic resonance, and ultrasubharmonic resonance is discussed. it is shown that in some parameter regions the sestyms exhibit harmonic solution bifurcation, subharmonic solution bifurcation, ultraharmonic solution bifurcation, ultrasubharmonic solution bifurcation and quasi - periodic solution

    本文詳細研究了具有限時滯li nard方程的周期擾動hopf分支，即在該系統經歷hopf分支時，研究小周期擾動對系統的影響，特別是討論了擾動頻率與hopf分支周期解的固有頻率在共振、次調和共振、超調和共振、超次調和共振的情形。
  3. By means of the precise integration method with lagrangian interpolation the trajectory of the shaft center, the poincare mapping and the bifurcation graphs are numerically given. the results predicted by the floquet theory are checked and the long - term dynamic behavior of the system is predicted. it is shown that the system has rich nonlinear behaviors at some m combination of the four parameters, for examples, multi - frequency subharmonic resonance, as well as chaos phenomenon from doubling bifurcation and twice hopf bifurcation

    通過lagrange插值精細積分法數值給出系統的軸心軌跡圖、 poincar映射圖、分叉圖，檢驗floquet理論預測結果並預測系統的長期性態，顯示系統在四個參數組合的某些范圍內具有豐富的非線性特性，還存在多形式次諧波解，以及由倍周期分叉、二次hopf分叉通往混沌的現象。
  4. Subharmonic resonance response

    分諧波共振響應
  5. By the method of double - frequency acoustic excitations, experiments were conducted on the influences of phase differences between the fundamental and subharmonic waves upon the " subharmonic resonance " - the nonlinear interaction between the waves

    用雙頻聲激勵方法，實驗研究了剪切流中基波及其亞諧波的相位差對「亞諧共振」非線性過程的影響。
  6. Experiments of " detuned subharmonic resonance " or " tri - wave coupling " were also carried out with the technique of bicoherence analysis

    應用雙相干分析技術，還實驗研究了「失調亞諧共振」或「三波耦合」非線性過程。
  7. For the nonlinear planar cantilever, the two resonant cases are considered. one of the two cases is primary resonance - principal parametric resonance and 1 : 3 internal resonance. the other is 1 / 2 subharmonic resonance - principal parametric resonance and 1 : 3 internal resonance

    對于平面運動懸臂梁研究了二種共振情況，一是主共振-主參數共振和1 ： 3內共振的情形，另一是1 2亞諧共振-主參數共振和1 ： 3內共振的情形。
  8. The second case is 1 / 2 subharmonic resonance - principal parametric resonance and 1 : 1 internal resonance. the final case is primary resonance for the second mode - principal parametric resonance and 1 : 2 internal resonance. the adjoint operator method and the theory of normal form are used to investigated the normal forms in the four dimensional nonlinear systems with cubic nonlinearities

    第一種共振情況是主共振-主參數共振和1 ： 1內共振的情形；第二種共振情況是1 2亞諧共振-主參數共振和1 ： 1內共振的情形；第三種共振情況是第二模態主共振-主參數共振和1 ： 2內共振的情形。
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