Generalized Viscoelastic 1-DOF Deterministic Nonlinear Oscillators

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• 作者：Harry H. Hilton and Sung Yi
• 关键词：damping ; integral ; differential equations ; nonlinear deterministic oscillators ; numerical analysis ; pendulum ; viscoelastic Duffing ; Mathieu ; Rayleigh ; Roberts and van der Pol oscillators ; structural damping ; linear and nonlinear viscoelasticity
• 刊名：Nonlinear Dynamics
• 出版年：2004
• 出版时间：2004
• 年：2004
• 卷：36
• 期：2/4
• 页码：281-298
• 全文大小：385 KB
• 刊物类别：Engineering
• 刊物主题：Vibration, Dynamical Systems and Control
  Mechanics
  Mechanical Engineering
  Automotive and Aerospace Engineering and Traffic
  
• 出版者：Springer Netherlands
• ISSN：1573-269X

文摘

The theory of deterministic generalized viscoelastic linear and nonlinear 1-D oscillators is formulated and evaluated. Examples of viscoelastic Duffing, Mathieu, Rayleigh, Roberts and van der Pol oscillators and pendulum responses are investigated. Material behavior as well as additional effects of structural damping on oscillator performance are also considered. Computational protocols are developed and their results are discussed to determine the influence of viscoelastic and structural (Coulomb friction) damping on oscillator motion. Illustrative examples show that the inclusion of linear or nonlinear viscoelastic material properties significantly affects oscillator responses as related to amplitudes, phase shifts and energy loses when compared to equivalent elastic ones.