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非光滑动力系统     
相关语句
  non-smooth dynamic system
     Calculation Methods of Floquet multipliers for Non-Smooth Dynamic System
     非光滑动力系统Floquet特征乘子的计算方法
短句来源
  non-smooth dynamical system
     The vibro-impact system found in many practical systems, as a typical non-smooth dynamical system is important in engineering.
     针对工程实际中普遍存在的碰撞振动系统这种典型的非光滑动力系统,其研究具有重要的理论意义和工程实用价值。
短句来源
  non-smooth dynamic systems
     Finally, the Floquet multipliers are calculated by using the above methods for a given nonlinear dynamic system with rigid constraints, and the stability and bifurcations of periodic motions are analyzed by means of the Floquet theory. The above results are compared with that obtained by the Poincaré map method in order to validate the correctness of the calculation methods of Floquet multipliers in non-smooth dynamic systems in this paper.
     最后 ,针对一刚性约束的非线性动力系统 ,应用上述方法求Floquet特征乘子 ,并基于Floquet理论对周期运动的稳定性和分岔进行分析 ,将所得的结果与用Poincar啨映射方法分析的结果进行比较 ,以验证非光滑动力系统Floquet特征乘子计算方法的正确性
短句来源
  non-smooth dynamical systems
     CELL-MAPPING COMPUTATION METHOD FOR NON-SMOOTH DYNAMICAL SYSTEMS
     非光滑动力系统胞映射计算方法
短句来源
     A METHOD FOR CALCULATING THE SPECTRUM OF LYAPUNOV EXPONENTS OF NON-SMOOTH DYNAMICAL SYSTEMS
     非光滑动力系统Lyapunov指数谱的计算方法
短句来源
     The study of non-smooth dynamical systems subject to unilateral constraints can be split into different classes that more or less reflect the interest of the different groups of researchers.
     带单向约束的非光滑动力系统能分成不同的类型问题,它们或多或少反映了不同的研究者的兴趣。

 

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      non-smooth dynamic systems
    Forced oscillations of delaminated composite laminates lead to non-smooth dynamic systems due to continuously developing impact-like contacts along the delamination.
          
      non-smooth dynamical systems
    On a class of non-smooth dynamical systems: a sufficient condition for smooth versus non-smooth solutions
          
    Generalized Hamiltonian mechanics a mathematical exposition of non-smooth dynamical systems and classical Hamiltonian mechanics
          
    The following overview on non-smooth dynamical systems is given from an application point of view.
          
    In this paper, we present a novel approach to quantify regular or chaotic dynamics of either smooth or non-smooth dynamical systems.
          
    An analytical prediction of sliding motions along discontinuous boundary in non-smooth dynamical systems
          
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    This paper deals with the numerical solution of high-dimensional dynamic systems with nonsmooth characters,such as structural elastoplasticity,mechanical backlash and dry friction.As a stable periodic response of the system attracts its transient reponse, it may be extracted from the transient response somehow.This paper suggests a novel iteration scheme of extrapolating the periodic from a short time history of its transient response fitted by curve. and presents a skill to avoid fitting nonlinear perameters...

    This paper deals with the numerical solution of high-dimensional dynamic systems with nonsmooth characters,such as structural elastoplasticity,mechanical backlash and dry friction.As a stable periodic response of the system attracts its transient reponse, it may be extracted from the transient response somehow.This paper suggests a novel iteration scheme of extrapolating the periodic from a short time history of its transient response fitted by curve. and presents a skill to avoid fitting nonlinear perameters by fitting linear differential equations other than transient response. Compered with current methods such as shooting, harmonic belancing, the present scheme can fully use the computational information of transient response and system characters, thus. the computational efficiency is increased by an order and the convergence depending on initial iteration is greatly improved.

    本文研究以复杂弹塑性结构,含间隙或干摩擦的机械等为背景的高维非光滑动力系统周期响应的数值解法.提出了一种对短时间历程动响应进行曲线拟合后外推周期响应的迭代格式,改变了现有方法未充分利用动力系统内在特性及中间计算结果所含信息的不足,使计算效率有了阶次性的提高且收敛性能亦大为改善.

    A semi-analytic calculation method of Floquet multipliers is presented for the stability analysis of periodic motions in nonlinear dynamic systems with rigid constraints. At the same time, an analytic calculation method and a numerical one of Floquet multipliers are given both for linear dynamic systems with rigid constraints or nonlinear dynamic systems with flexible (piecewise-smooth) constraints. Finally, the Floquet multipliers are calculated by using the above methods for a given nonlinear dynamic system...

    A semi-analytic calculation method of Floquet multipliers is presented for the stability analysis of periodic motions in nonlinear dynamic systems with rigid constraints. At the same time, an analytic calculation method and a numerical one of Floquet multipliers are given both for linear dynamic systems with rigid constraints or nonlinear dynamic systems with flexible (piecewise-smooth) constraints. Finally, the Floquet multipliers are calculated by using the above methods for a given nonlinear dynamic system with rigid constraints, and the stability and bifurcations of periodic motions are analyzed by means of the Floquet theory. The above results are compared with that obtained by the Poincaré map method in order to validate the correctness of the calculation methods of Floquet multipliers in non-smooth dynamic systems in this paper.

    对刚性约束的非线性动力系统进行研究 ,得到了该动力系统周期运动稳定性分析的Floquet特征乘子计算的半解析法。同时 ,也给出了刚性约束的线性动力系统和弹性约束 (分段光滑 )的非线性动力系统的Floquet特征乘子计算的解析法和数值方法。最后 ,针对一刚性约束的非线性动力系统 ,应用上述方法求Floquet特征乘子 ,并基于Floquet理论对周期运动的稳定性和分岔进行分析 ,将所得的结果与用Poincar啨映射方法分析的结果进行比较 ,以验证非光滑动力系统Floquet特征乘子计算方法的正确性

    The vibro-impact system found in many practical systems, as a typical non-smooth dynamical system is important in engineering. Its studies include theoretical analysis, numerical simulations, applied and experimental studies. By establishing the Poincaré map, using the center manifold theorem and the theory of normal forms, the periodic motion stability, bifurcation and chaos of the vibro-impact system can be investigated. The theory of bifurcation and chaos of map is one of the bases in studying vibro-impact...

    The vibro-impact system found in many practical systems, as a typical non-smooth dynamical system is important in engineering. Its studies include theoretical analysis, numerical simulations, applied and experimental studies. By establishing the Poincaré map, using the center manifold theorem and the theory of normal forms, the periodic motion stability, bifurcation and chaos of the vibro-impact system can be investigated. The theory of bifurcation and chaos of map is one of the bases in studying vibro-impact systems. The smooth nonlinear dynamics can be partly extended to vibro-impact systems, but the discontinuity caused by impact will affect applicability and effectiveness of some methods. The theoretical studies and engineering applications of stability, bifurcations, chaos and singularity of vibro-impact systems are surveyed in this paper. Finally, the discussion centers around some unsolved problems of bifurcations and chaos of vibro-impact systems, and the advance in the corresponding discrete map dynamics. The future research trends are suggested.

    针对工程实际中普遍存在的碰撞振动系统这种典型的非光滑动力系统,其研究具有重要的理论意义和工程实用价值。碰撞振动系统动力学的分析与研究方法主要有理论分析、数值模拟以及应用与实验研究。为了研究碰撞振动系统的周期运动稳定性、分岔及混沌,采用的手段有建立Poincare映射、中心流形和范式方法,映射的分岔与混沌理论是碰撞振动系统研究的理论基础。首先简述了碰撞振动系统的分析与研究方法,光滑非线性系统动力学的分析方法部分可以推广到碰撞振动系统,碰撞振动的不连续性导致一些方法的适用性和有效性问题。进一步综述了碰撞振动系统周期运动稳定性、分岔、混沌及奇异性的理论研究和工程应用现状。最后着重结合相关离散型映射系统的动力学发展,对碰撞振动系统的分岔与混沌研究及存在的主要问题进行了讨论,并展望了其发展趋势。

     
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