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Identification of Spatial Modes in Chaotic Vibration Involving Dynamic Snap-through Using KL Method (Numerical Study for a Uniform Beam including Geometric Nonlinearity in a Multiple-degrees-of-freedom System)

机译：使用KL方法识别涉及动态捕捉的混沌振动的空间模式（多程度自由度几何非线性的均匀梁数值研究）

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Takao YAMAGUCHI; Ken-ichi NAGAI; Shinichi MARUYAMA;
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1. Chaotic vibrations of two-layered beams and plates with geometric, physical and design nonlinearities [J] . Awrejcewicz J., Krysko A.V., Bochkarev V.V., International journal of bifurcation and chaos in applied sciences and engineering . 2011,第10期

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2. Quaternion-based dynamics of geometrically nonlinear spatial beams using the Runge-Kutta method [J] . E. Zupan, M. Saje, D. Zupan Finite Elements in Analysis and Design . 2012,第期

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3. A novel method for the non-parametric identification of nonlinear restoring forces in nonlinear vibrations based on response data: a dissipative nonlinear dynamical system [J] . T.S. Jang Ships and offshore structures . 2011,第4期

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4. NONLINEAR VIBRATIONS OF NON-UNIFORM BEAMS INCLUDING INERTIA EFFECTS [C] . Dumitru I. Caruntu, Ion Stroe DE-vol.118-2; American Society of Mechanical Engineers(ASME) International Mechanical Engineering Congress and Exposition; 20051105-11; Orlando,FL(US) . 2005

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5. Parametric identification of chaotic/nonlinear systems and reduced order models based on proper orthogonal decomposition. [D] . Liang, Yang. 2005

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6. Numerical Matrices Method for Nonlinear System Identification and Description of Dynamics of Biochemical Reaction Networks [O] . Alexey V. Karnaukhov, Elena V. Karnaukhova, James R. Williamson 2007

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7. Numerical Analysis for Chaotic Vibration of Post-Buckled Beam Including Dynamic Snap-Through (Influences of Initial Axial Displacements) [O] . Takao YAMAGUCHI, Jun-ichi SAKOH, Ken-ichi NAGAI, 2005

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8. Component Mode Synthesis and Large Deflection Vibration of Complex Structures. Volume 3. Multiple-Mode Nonlinear Free and Forced Vibrations of Beams Using Finite Element Method. Final Report,Period Ending January 31, 1987, [R] . mei, c. shen, m. 1987

机译：复杂结构的分量模态综合与大挠度振动。第3卷：梁的多模非线性自由和强迫振动的有限元法。最终报告，截止日期为1987年1月31日，

Identification of Spatial Modes in Chaotic Vibration Involving Dynamic Snap-through Using KL Method (Numerical Study for a Uniform Beam including Geometric Nonlinearity in a Multiple-degrees-of-freedom System)

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