混沌振动在压实作业中应用的仿真研究
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摘要
混沌理论是自本世纪70年代发展起来的。它与机械振动理论相结合而形成
的新学科——混沌振动，更是一个崭新的科研领域。在过去的近20年时间里，
国内外在混沌振动的理论研究方面都取得了巨大的进展；但有关混沌振动在工程
中的应用，成果尚少；尤其是在大型工程机械中的应用研究，国外未见报道。本
文的目的是用具有宽频功率谱的混沌激振器代替传统的单频激振器，研究高效混
沌振动压路机。
本文首先介绍了混沌振动的基本概念；评述了混沌振动识别的定性和定量方
法；对有关参数的选择进行了研究；给出了计算最大Lyapunov指数、相关维数
和周期比的算法；在对不同方法对比分析的基础上，选出了本文拟采用的识别方
法。
其次，建立了“ CVE—2型三偏心混沌激振器”和混沌振动压路机“机架—
振动轮—土”系统的数学模型，并在激振器的不同参数条件下，对数学模型进行
了数值仿真和混沌识别；研究了“混沌激振器”和“机架—振动轮—土”系统的
混沌特征与激振器参数之间的关系。
然后，通过实验测试，证实了14吨混沌振动压路机振动轮的真实振动是混
沌的；从混沌识别的角度讲，仿真结果与测试结果趋势一致。
最后，对“混沌”与“普通”振动压路机的压实参数进行了对比分析；结果
表明：14吨混沌振动压路机的压实性能优于普通振动压路机。
Chaos theory has been developed since 70’s this century. Chaotic vibration, the
combination of chaos theory and mechanical vibration theory, is a newer research
field. Great achievement has been gained in theoretical study of chaotic vibration in
China and abroad over the past two decades. But, there are fewer results on the
application of chaotic vibration in engineering, especially in the big size engineering
machinery. The purpose of the dissertation is to study high performance vibratory
roller by using chaotic vibration exciter with broad and spectrum instead of
traditional harmonic exciter.
Firstly, Some of the basic concepts of chaotic vibration are introduced, the
qualitative and quantitative methods of chaotic vibration identification are detailed,
the selection of associated parameters is studied, the algorithms for calculating the
maximum Lyapunov exponent, correlation dimension and periodicity ratio are
provided. On the basis of analysis and comparison of different methods, the methods
used in the paper are selected.
Secondly, the mathematical models for VE type three eccentric chaotic
exciter and forrame rum oil system of chaotic vibratory roller are built. The
numerical simulation and chaos identification are finished under different parameters
of the exciter. The relationships between the chaotic characteristics of the exciter as
well as the rame rum oil system and the parameters of the exciter are
investigated.
Then, the experiment is conducted to verify that the vibration of the drum of 14
tons chaotic vibratory roller is chaotic. In terms of chaos identification, the results of
the measurement are consistent with the trends predicted by the simulation.
Finally, the results from comparing the compaction parameters between
haotic and raditional vibratory roller show that the performance of
haotic is better than that of raditional
的新学科——混沌振动，更是一个崭新的科研领域。在过去的近20年时间里，
国内外在混沌振动的理论研究方面都取得了巨大的进展；但有关混沌振动在工程
中的应用，成果尚少；尤其是在大型工程机械中的应用研究，国外未见报道。本
文的目的是用具有宽频功率谱的混沌激振器代替传统的单频激振器，研究高效混
沌振动压路机。
本文首先介绍了混沌振动的基本概念；评述了混沌振动识别的定性和定量方
法；对有关参数的选择进行了研究；给出了计算最大Lyapunov指数、相关维数
和周期比的算法；在对不同方法对比分析的基础上，选出了本文拟采用的识别方
法。
其次，建立了“ CVE—2型三偏心混沌激振器”和混沌振动压路机“机架—
振动轮—土”系统的数学模型，并在激振器的不同参数条件下，对数学模型进行
了数值仿真和混沌识别；研究了“混沌激振器”和“机架—振动轮—土”系统的
混沌特征与激振器参数之间的关系。
然后，通过实验测试，证实了14吨混沌振动压路机振动轮的真实振动是混
沌的；从混沌识别的角度讲，仿真结果与测试结果趋势一致。
最后，对“混沌”与“普通”振动压路机的压实参数进行了对比分析；结果
表明：14吨混沌振动压路机的压实性能优于普通振动压路机。
Chaos theory has been developed since 70’s this century. Chaotic vibration, the
combination of chaos theory and mechanical vibration theory, is a newer research
field. Great achievement has been gained in theoretical study of chaotic vibration in
China and abroad over the past two decades. But, there are fewer results on the
application of chaotic vibration in engineering, especially in the big size engineering
machinery. The purpose of the dissertation is to study high performance vibratory
roller by using chaotic vibration exciter with broad and spectrum instead of
traditional harmonic exciter.
Firstly, Some of the basic concepts of chaotic vibration are introduced, the
qualitative and quantitative methods of chaotic vibration identification are detailed,
the selection of associated parameters is studied, the algorithms for calculating the
maximum Lyapunov exponent, correlation dimension and periodicity ratio are
provided. On the basis of analysis and comparison of different methods, the methods
used in the paper are selected.
Secondly, the mathematical models for VE type three eccentric chaotic
exciter and forrame rum oil system of chaotic vibratory roller are built. The
numerical simulation and chaos identification are finished under different parameters
of the exciter. The relationships between the chaotic characteristics of the exciter as
well as the rame rum oil system and the parameters of the exciter are
investigated.
Then, the experiment is conducted to verify that the vibration of the drum of 14
tons chaotic vibratory roller is chaotic. In terms of chaos identification, the results of
the measurement are consistent with the trends predicted by the simulation.
Finally, the results from comparing the compaction parameters between
haotic and raditional vibratory roller show that the performance of
haotic is better than that of raditional
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