Generalized viscoelastic 1-DOF deterministic nonlinear oscillators

被引：3
|
作者：
Hilton, HH
Yi, S
机构：
[1] Univ Illinois, Dept Aerosp Engn, Natl Ctr Supercomp Applicat, Urbana, IL 61801 USA
[2] Portland State Univ, Dept Mech Engn, Portland, OR 97207 USA
来源：
NONLINEAR DYNAMICS | 2004年 / 36卷 / 2-4期
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;
D O I：
10.1023/B:NODY.0000045520.93189.fe
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
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.
引用
收藏
页码：281 / 298
页数：18
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