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径向柱塞泵定子振动系统动态刚度研究
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作者 周天悦 《科技创新与应用》 2012年第22期31-32,共2页
本文对径向柱塞泵滑靴支承油膜动刚度进行了数学建模,并对其进行分析,结果表明:定子振动系统的动态刚度随时间(或方位角)的变化而变化,它们的变化有两部分组成,一是在相邻柱塞方位角在内变化时,刚度以余弦的平方规律变化,即变刚度特性;... 本文对径向柱塞泵滑靴支承油膜动刚度进行了数学建模,并对其进行分析,结果表明:定子振动系统的动态刚度随时间(或方位角)的变化而变化,它们的变化有两部分组成,一是在相邻柱塞方位角在内变化时,刚度以余弦的平方规律变化,即变刚度特性;二是由于压油区柱塞数目发生变化而导致方位角发生变化时,刚度也随之发生变化。相比较而言,后者刚度的变化幅度更大。 展开更多
关键词 动态刚度 定子振动系统 径向柱塞泵
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径向柱塞泵定子振动系统模型的可化性研究
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作者 周天悦 《科技与企业》 2012年第24期343-343,共1页
定子振动系统是一个周期时变系统,对其振动特性的求解和分析非常困难,本文通过经过Lyapunov变换,利用周期时变系统的可化性,将周期时变的定子振动系统变换为定常系统,为径向柱塞泵定子振动系统的求解和分析奠定基础。
关键词 可化性 Lyapunov变换 定子振动系统 径向柱塞泵
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A simple algorithm for testing the stability of periodic solutions of some nonlinear oscillators with large time delay 被引量:5
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作者 LI JunYu ZHANG Li WANG ZaiHua 《Science China(Technological Sciences)》 SCIE EI CAS 2011年第8期2033-2043,共11页
Periodic solutions occur commonly in linear or nonlinear dynamical systems. In some cases, the stability of a periodic solution holds if the rightmost characteristic root has negative real part. Based on the Lambert W... Periodic solutions occur commonly in linear or nonlinear dynamical systems. In some cases, the stability of a periodic solution holds if the rightmost characteristic root has negative real part. Based on the Lambert W function, this paper presents a simple algorithm for locating the rightmost characteristic root of periodic solutions of some nonlinear oscillators with large time delay. As application, the proposed algorithm is used to study the primary resonance and 1/3 subharmonic resonance of the Duffing oscillator under harmonic excitation and delayed feedback, as well as the control problem of the van der Pol oscillator under harmonic excitation by using delayed feedback, with a number of case studies. The main advantage of this algorithm is that though very simple in implementation, it works effectively with high accuracy even if the delay is large. 展开更多
关键词 time-delay system weakly nonlinear STABILITY periodic solution characteristic function Lambert W function
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