Dissertation > Excellent graduate degree dissertation topics show

Study on Nonlinear Dynamics of a Nanocomposite Buckling Beam under Parameter Excitation

Author: ZengZhiGang
Tutor: YeMin
School: Zhejiang University
Course: General and Fundamental Mechanics
Keywords: nanocomposites parametric vibration multiscale method stability bifurcation chaos parameter identification
CLC: O322
Type: Master's thesis
Year: 2011
Downloads: 22
Quote: 0
Read: Download Dissertation

Abstract


Nanocomposites as new material, are widely used in aerospace engineering, national defence, transportation, sports and other fields because of the designability. Viscoelastic materiel performances ample nonlinear phenomenon from the research of the materiel and nanocomposites are viscoelastic material, so the dynamic properties have important practical applications.In this paper, the buckling of beam of nanocomposites with parametric exctitation is analysed. It’s impossible to use the theory constructe the dynamical equation, because the material parameters and constitutive relation are unknown. Through building experimental device of the nonlinear vibrating beam with parametric exctitation and using experimental modeling method, we constitue the dynamical equation of the vibrating beam. The main contents include the following content:Firstly, the 1/2 subharmonic resonance is analysed with multiscale method. The amplitude-frequency response at the steady-state response and bifurcation behavior with the excitation amplitude or damping changed and other parameters fixed are discussed.Secondly,the dynamic characteristics of beams are studied with Runge-Kutta numerical methods, by use of poincare map, phase diagram and power spectrum, the dynamical behaviors are identified based on the equation. The bifurcation diagram are presented in the case of excitation amplitude and damping is respectively varied while other parameters are fixed. The the maximum Lyapunov exponent is calculated to identify chaos. The roads leading to chaos is also discussed.Finally,the incremental harmonic balance nonlinearity identification (IHBNID) is applied to parametric identification of nonlinear systems. Considering the Mathieu-Duffing equation as an example, the effectiveness of the IHBNID can be verified on bifurcate and chaos.

Related Dissertations

  1. Analysis and Study of Abutment Stability in Concrete High Arch Dam by Three-Dimensional Nonlinear Finite Element Method,TV642.4
  2. Power System Dynamic Voltage Stability Simulation Study Based on Precise Integration Method,TM712
  3. Research on Vector Control System of Induction Motor Based on DSP,TM346
  4. The Study of Dynamic Simulation of the Passive Dynamic Quasi-Quarupedal Walker,TP242.6
  5. Astudy on Samuel Huntington’s Theory of Political Stability,D09
  6. Analysis of the Impact of Tailings Dam Stability under Seepage Role,TV649
  7. Research on synchronization control of chaotic systems,O415.5
  8. The Study and Application of the Generalized Hamiltonian System with Spherical Foliation Structure,O175
  9. The Research of Chaos M-ary Modulation and Demodulation Method Based on Chaotic Oscillator,TN915.05
  10. Preparation and Properties of lead-free glass powder,TQ171.6
  11. Preparation and Evaluation on the Toxicological Safety and Stability of Deer Blood Wine,TS262.91
  12. Generator Excitation System of the Anti-saturation Control,TM301.2
  13. With Delay fishing items and based on the ratio of prey - predator model,O175
  14. The Research of Transgenic Carnation Genetic Stability and the Impact on Soil microbial Community,S682.19
  15. The Oxidation Mechanism and Stability Improved of Conjugated Polyunsaturated Fatty Acids,O621.25
  16. The new central collective leadership of thinking about social stability,D61
  17. The context of the labor market distortions stability of employment of migrant workers,D412.6
  18. Brain myocarditis virus VP1 fragment gene of stability of the , prokaryotic expression and the Applied Research,S852.65
  19. Differences of mathematics, dissipative structures and chaos in the system \,O415.5
  20. Takens-Bogdanov Bifurctaions in Differential Equations with Two Delays,O175
  21. The magnetorheological damper mechanical properties and Gun Recoil,TB535.1

CLC: > Mathematical sciences and chemical > Mechanics > Vibration theory > Nonlinear vibration
© 2012 www.DissertationTopic.Net  Mobile