subharmonic 中文意思是什麼

subharmonic 解釋
次低的
  1. ( 3 ) we investigate the nonlinear dynamics of the rotor - ambs system in 1 / 3 and 1 / 2 subharmonic resonances. using the multiple method of scale, the averaged equations of the rotor - ambs system are obtained

    ( 3 )利用多尺度方法,研究了電磁軸承-轉子系統的1 3亞諧共振和1 2亞諧共振情況下的非線性動力學,得出了兩種共振情況下的頻幅響應方程。
  2. The melnikov function of subharmonic orbits is calculated and established and the criterion of appearing periodical m point of poincare mapping is presented. 4

    計算並建立了次諧周期軌道的melnikov函數,給出了poincare映射出現周期m點的判據。
  3. 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。
  4. 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。
  5. The subharmonic functions in hp space

    空間中的次調和函數
  6. In this thesis, a multi - disk rotor supported by two plain journal bearings is used for the numerical and experimental studies. the one aim is to analyze the nonlinear dynamic characteristics of the rotor system under different varying parameters ; the methods of online elimination of the oil whip and subharmonic vibration are developed and studied also. besides the expression of the nonlinear oil film force is proposed, so that the unbalance of the nonlinear rotor system may be identified online

    作者在總結了前人大量的有關非線性振動研究工作的基礎上,確立了本文的研究目標:一是以工程應用為背景,研究轉子-軸承系統由非線性油膜力引起的非線性振動特性以及各種影響因素,力圖通過對轉子-軸承系統非線性振動特性的分析,找到切實可行的在線消除油膜振蕩的辦法;二是研究非線性油膜力的表達方法式,使非線性轉子系統的不平衡量在線識別成為可能。
  7. 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。
  8. " the crystal resonator ". a subharmonic of the frequency of quartz crystal. extremely effective for charging and clearing quartz crystals. activates aspects of the auric field

    「水晶共振」次諧波頻率的石英水晶。非常有效去充電和清除石英水晶。啟動有關靈光場。
  9. A new phenomenon is found numerically and experimentally : even if the rotating speed of the rotor is lower, the subharmonic vibration of the rotor - bearing system may be occurred under great disturbance ( unbalance )

    通過理論計算和分析發現:提出了即使在較低轉速的情況下,只要外激勵(不平衡量)足夠大,也有可能導致轉子出現油膜渦動或者失穩的現象。
  10. In fact, the subharmonic solutions is the xt - period solutions, where k is a positive integer

    這里的次調和解是指kt -周期解, k為正整數。
  11. The specific route of the system going into smale horse - hoof chaos through subharmonic bifurcation is discussed

    討論了系統經過次諧分叉進入smale馬蹄混沌的具體途徑。
  12. Subharmonic resonance response

    分諧波共振響應
  13. 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。
  14. The results indicate that there is especially a narrow rang of phase difference in which the amplitude of subharmonic waves is notably diminished and that the diminishment is affected by initial amplitudes of the waves

    結果表明,有一個狹窄的相位差范圍,當相位差的值落入其中時,亞諧波的空間演化受到顯著的削弱;而且,相位差的這種影響受基波及亞諧波初始幅值的制約。
  15. 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。
  16. 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。
  17. 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。
  18. Bifurcations and chaos of homoclinec and subharmonic orbits for pendulum motion

    次諧分岔和混沌
  19. Multiplicity of periodic and subharmonic solutions to second order nonhomogeneous nonlinear difference equations and systems

    二階非齊次非線性差分方程與方程組的次調和周期解的多解性
  20. Moreover, we have studied the subharmonic solutions of ( hs2 ) under the " superquadratic " and " subquadratic " condition

    另一方面,我們還研究了f在「超二次」和「次二次」條件下二階hamilton系統的次調和解。
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