On the Internal Resonance in a Nonlinear Two-degree-of-freedom System : When the Natural Frequencies Are in the Ratio 2 : 3
スポンサーリンク
概要
- 論文の詳細を見る
Forced vibrations of a nonlinear two-degree-of freedom internally-resonanced system with the natural frequencies in the ratio 2:3 are treated. Theoretical analysis is carried out on the behavior of the system near the lower and higher resonance frequencies. The analysis shows that the system can take three different vibratory states depending on the initial condition. In the first state only a harmonic oscillation occurs and this state is similar to the ordinary resonance. In the second state an ultra-subharmonic oscillation of order 3/2 or order 2/3 occurs and in the third, an almost periodic motion occurs. The validity of the theoretical analysis is confirmed by an analog computer.
- 一般社団法人日本機械学会の論文
著者
-
Yamamoto Toshio
Faculty Of Engineering Nagoya University
-
NAGASAKA Imao
Chubu Institute of Technology
-
YASUDA Kinihiko
Faculty of Engineering,Nagoya University
-
Yasuda Kinihiko
Faculty Of Engineering Nagoya University
関連論文
- On the Internal Resonance in a Nonlinear Two-Degree-of-Freedom System : Forced Vibrations near the Higher Resonance Point When the Natural Frequencies Are in the Ratio 1:2
- Ultra-Subharmonic Oscillations in a Nonlinear Vibratory System
- On "Summed and Differential Harmonic" Oscillations in Nonlinear Vibratory Systems with Multiple-Degrees-of-Freedom
- Internal Resonance in a Rotating Shaft System : The Coincidence of Two Critical Speeds for Subharmonic Oscillation of the Order l/2 and Synchronous Backward Precession
- Effects of Nonlinear Spring Characteristics on the Dynamic Unstable Region of an Unsymmetrical Rotor
- Effects of Quartic Nonlinear Restoring Forces on 1/2-0rder Subharmonic and Summed-and-Differential Harmonic Oscillations of a Rotating Shaft : Variations of Resonance Curves and Occurrence of Unstable Vibrations
- Super-Summed-and-Differential Harmonic Oscillations in a Symmetrical Rotating Shaft System
- Vibrations of a Rotating Shaft with Rotating Nonlinear Restoring Forces at the Major Critical Speed
- Combination Tones in a Rotating Shaft System
- Unstable Vibrations of an Unsymmetrical Shaft at the Secondary Critical Speed due to Ball Bearings
- Nonlinear Forced Oscillations of a Rotating Shaft Carrying an Unsymmetrical Rotor at the Major Critical Speed
- Super-Summed-and-Differential Harmonic Oscillations of an Unsymmetrical Shaft and an Unsymmetrical Rotor
- Subharmonic and Summed-and-Differential Harmonic Oscillations of an Unsymmetrical Rotor
- Summed-and-Differential Harmonic Oscillations of an Unsymmetrical Shaft
- Combination Tones of Summed Type in Nonlinear Vibratory Systems
- On the Internal Resonance in a Nonlinear Two-degree-of-freedom System : When the Natural Frequencies Are in the Ratio 2 : 3
- The Particular Vibration Phenomena Due to Ball Bearings at the Mayor Critical Speed : 2nd report, On the Effects of Symmetrical Nonlinear Spring Characteristics
- Oscillations of a Rotating Shaft with Symmetrical Nonlinear Spring Characteristics
- Super-Division Harmonic Oscillations Caused by Nonlinearity of the Fourth Order
- Super-Division Harmonic Oscillations in a Nonlinear Multidegree-of-Freedom System
- Internal Resonance in a Nonlinear Multi-degree-of-freedom Vibratory System When Its Natural Frequencies Satisfy the Condition p_1+p_2=p_3 or 2p_1+p_2=p_3
- Summed and Differential Harmonic Oscillations in a Slender Beam
- Sub-combination Tones in a Nonlinear Vibratory System : Caused by Symmetrical Nonlinearity
- Combination Oscillations in a Non-Linear Vibratory System with One Degree of Freedom
- Unstable Vibrations of an Unsymmetrical Rotor Supported by Flexible Bearing Pedestals
- On the Internal Resonance in a Nonlinear Two-Degree-of-Freedom System : Forced Vibrations Near the Lower Resonance Point When the Natural Frequencies are in the Ratio 1 : 2
- Subharmonic Oscillations of a Slender Beam
- Internal Resonance in a Parametrically Excited Three-Degree-of-Freedom System with Nonlinear Spring Characteristics : 1st Report, the Case that the Relation lp_i + mp_j = np_ Holds among the Natural Frequencies : Series C : Vibration Control Engineeri
- The Particular Vibration Phenomena Due to Ball Bearings at the Major Critical Speed
- On the Subharmonic Oscillations of Unsymmetrical Shafts
- On Vibrations of a Rotor with Variable Rotating Speed
- The Effect of a Flat Shaft on the Unstable Vibrations of the Shaft Carrying an Unsymmetrical Rotor
- On the Response Curves and the Stability of "Summed and Differential Harmonic"Oscillations
- On the Oscillations of "Summed and Differential Types"under Parametric Excitation : Vibratory Systems with Damping
- On the Vibrations of the Shaft Carrying an Asymmetrical Rotating Body
- Vibration Suppression of a Helicopter Using Pendulum Absorbers : First Elastic Mode of a Blade
- Combination Tones of Differential Type in Nonlinear Vibratory Systems
- Unstable Vibrations of the Shaft Carrying an Unsymmetrical Rotating Body : Vibrations Induced by Flexibility of Bearing Pedestals
- On Sub-Harmonic and"Summed and Differential Harmonic"Oscillations of Rotating Shaft
- Forced Vibrations of a Rotor with Rotating Inequality
- On the Forced Vibrations of the Shaft Carrying an Unsymmetrical Rotor : Forced Vibrations Having the Circular Frequencies Differing from the Rotating Angular Velocity of the Shaft
- "Summed and Differential Harmonic"Oscillation in Non-Linear Vibratory Systems : Systems with Unsymmetrical Nonlinearity
- Vibration Suppression of a Helicopter Fuselage by Pendulum Absorbers : Rigid-Body Blades with Aerodynamic Excitation Force
- On the Forced Vibrations of the Shaft Carrying an Unsymmetrical Rotating Body : Response Curves of the Shaft at the Major Critical Speeds
- On the Oscillations of "Summed and Differential Types of Higher Order" under Parametric Excitation