共查询到19条相似文献,搜索用时 140 毫秒
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在芯级周围布置助推器是提升运载能力的有效手段。对于长径比较高的助推器,结构呈现明显的局部弹性效应,这将对助推器分离的安全性产生影响。针对传统Craig-Bampton方法无法适用于大范围运动弹性体的不足,本文采用修正的Craig-Bampton法获得系统的正则化模态,使研究对象的所有模态与频率一一对应,实现分离体大范围刚体运动与弹性变形的有效耦合。基于该方法开展柔性多体动力学仿真,获得了不同模态阶数和结构刚度的弹性助推器分离系统的分离特性。研究结果表明,与传统的刚体模型相比,考虑助推器弹性效应的分离动力学模型更加贴近真实飞行情况。基于此,获得了各阶模态和结构刚度对分离安全边界的影响规律,其中以一阶横向模态最为敏感。通过研究弹性助推器的分离特性,为运载火箭助推器分离系统的工程实际应用提供理论参考和研究支撑。 相似文献
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在芯级周围布置助推器是提升运载能力的有效手段。对于长径比较高的助推器,结构呈现明显的局部弹性效应,这将对助推器分离的安全性产生影响。针对传统Craig-Bampton方法无法适用于大范围运动弹性体的不足,本文采用修正的Craig-Bampton法获得系统的正则化模态,使研究对象的所有模态与频率一一对应,实现分离体大范围刚体运动与弹性变形的有效耦合。基于该方法开展柔性多体动力学仿真,获得了不同模态阶数和结构刚度的弹性助推器分离系统的分离特性。研究结果表明,与传统的刚体模型相比,考虑助推器弹性效应的分离动力学模型更加贴近真实飞行情况。基于此,获得了各阶模态和结构刚度对分离安全边界的影响规律,其中以一阶横向模态最为敏感。通过研究弹性助推器的分离特性,为运载火箭助推器分离系统的工程实际应用提供理论参考和研究支撑。 相似文献
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旋转运动柔性梁的假设模态方法研究 总被引:14,自引:5,他引:14
采用假设模态法对旋转运动柔性梁的动力特性进行研究,给出简化的控制模型. 首先采用Hamilton原理和假设模态离散化方法,在计入柔性梁由于横向变形而引起的轴向变形的二阶耦合量的条件下,推导出基于柔性梁变形位移场一阶完备的一次近似耦合模型,然后对该模型进行简化,忽略柔性梁纵向变形的影响,给出一次近似简化模型,最后将采用假设模态离散化方法的结果与采用有限元离散化方法的结果进行了对比研究. 研究中考虑了两种情况:非惯性系下的动力特性研究和系统大范围运动为未知的动力特性研究. 研究结果显示,当系统大范围运动为高速时,在假设模态离散化方法中应增加模态数目,较少的模态数目将导致较大误差. 一次近似简化模型能够较好地反映出系统的动力学行为,可用于主动控制设计的研究. 相似文献
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一类非线性耦合振子的模态分析 总被引:1,自引:0,他引:1
本文研究了一非线性耦合振子系统的相似和非相似模态,用模态的方法分析和讨论此系统单振子振动和两振子的同步或反步周期运动,并且给出数值结果,以考察非线性模态的有效性。 相似文献
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研究了Johnson提出的倾转旋翼不平衡载荷前飞动力学模型,将其桨叶分析方法应用于直升机旋翼系统模态分析。在刚性条件假设下推导了直升机旋翼弹性阻尼和惯性力综合作用时桨叶的挥舞和摆振运动方程,给出了固定和旋转坐标系下对应的运动方程。通过引入均匀入流和线性扭转假设,获得了运动方程的理论解析解。利用叠加原理,得到了桨毂轴心运动方程;采用Newmark法进行振动微分方程求解,最终得到了直升机旋翼的轴心运动轨迹。以某型直升机旋翼系统为例,验证了本研究所提出旋翼桨叶模态分析方法的准确性,给出了兼顾计算精度和效率的最佳求解步长选取方法;预测了典型飞行状态下的桨毂轴心运动轨迹,为直升机旋翼系统设计提供了基础方法和技术参考。 相似文献
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分析了拉索-并联弹簧-阻尼器系统的自由振动特性,由系统的运动方程及边界条件 得到其复特征值方程。进一步研究了系统的极限解,由此讨论了拉索-并联弹簧-阻尼器系统的模态变化分区现象。以拉索-并联弹簧-阻尼器系统的二阶模态解为例,给出了模态频率和阻尼比的变化分布区间及其对应振型的变化情况。讨论了系统分区中存在的模态交叉现象;同时也讨论了斜拉索垂度对于一阶振动模态变化规律的影响。研究表明拉索-并联弹簧-阻尼器系统的振动模态演化因并联弹簧-阻尼器的位置不同而存在的明确的分区现象;安装并联弹簧和阻尼器后拉索的模态阻尼比和模态频率均可明显提高。 相似文献
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Maximal Lyapunov exponent and almost-sure sample stability for second-order linear stochastic system
The principal resonance of second-order system to random parametric excitation is investigated. The method of multiple scales is used to determine the equations of modulation of amplitude and phase. The effects of damping, detuning, bandwidth, and magnitudes of random excitation are analyzed. The explicit asymptotic formulas for the maximum Lyapunov exponent is obtained. The almost-sure stability or instability of the stochastic Mathieu system depends on the sign of the maximum Lyapunov exponent. 相似文献
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The principal resonance of the stochastic Mathieu oscillator to randomparametric excitation is investigated. The method of multiple scales isused to determine the equations of modulation of amplitude and phase.The behavior, stability and bifurcation of steady state response arestudied by means of qualitative analyses. The effects of damping,detuning, bandwidth, and magnitudes of random excitation are analyzed.The explicit asymptotic formulas for the maximum Lyapunov exponent areobtained. The almost-sure stability or instability of the stochasticMathieu system depends on the sign of the maximum Lyapunov exponent. 相似文献
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The pth moment Lyapunov exponent of a two-codimension bifurcation system excited parametrically by a real noise is investigated. By a linear stochastic transformation, the differential operator of the system is obtained. In order to evaluate the asymptotic expansion of the moment Lyapunov exponent, via a perturbation method, a ralevant eigenvalue problem is obtained. The eigenvalue problem is then solved by a Fourier cosine series expansion, and an infinite matrix is thus obtained, whose leading eigenvalue is the second-order of the asymptotic expansion of the moment Lyapunov exponent. Finally, the convergence of procedure is numerically illustrated, and the effects of the system and the noise parameters on the moment Lyapunov exponent are discussed. 相似文献
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V. D. Potapov 《Mechanics of Solids》2016,51(1):75-80
The paper deals with the stability of an infinitely long beam lying on a solid elastic base and subjected to a constant or time-periodically varying longitudinal force. The beam material is characterized by nonlocally viscoelastic properties. Stability is understood as asymptotic stability in the sense of Lyapunov. The influence of the loading parameters and the parameters characterizing the nonlocal viscoelastic properties of the beam material on buckling and stability is analyzed. Stability is analyzed by using the maximum Lyapunov exponent. 相似文献
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The matric algorithm of Lyapunov exponent for the experimental data obtained in dynamic analysis 总被引:2,自引:0,他引:2
IntroductionChaosisanirregularphenomenongeneratedbynonlinearmodels.Itextensivelyexistsinnature.Whenarealirregulartimeseriesisgiven,peoplewillspontaneouslyaskthequestion:whetherthetimeseriesisprocessasrandomorasdeterministicchaos.Ifthetimeseriesisther… 相似文献
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Xue Ping Li Zhong Hua Liu Rong Hua Huan Wei Qiu Zhu 《Archive of Applied Mechanics (Ingenieur Archiv)》2009,79(11):1051-1061
The asymptotic Lyapunov stability with probability one of multi-degree-of-freedom quasi linear systems subject to multi-time-delayed feedback control and multiplicative (parametric) excitation of wide-band random process is studied. First, the multi-time-delayed feedback control forces are expressed approximately in terms of the system state variables without time delay and the system is converted into ordinary quasi linear system. Then, the averaged Itô stochastic differential equations are derived by using the stochastic averaging method for quasi linear systems and the expression for the largest Lyapunov exponent of the linearized averaged Itô equations is derived. Finally, the necessary and sufficient condition for the asymptotic Lyapunov stability with probability one of the trivial solution of the original system is obtained approximately by letting the largest Lyapunov exponent to be negative. An example is worked out in detail to illustrate the application and validity of the proposed procedure and to show the effect of the time delay in feedback control on the largest Lyapunov exponent and the stability of system. 相似文献
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W.Q. Zhu 《International Journal of Non》2004,39(4):569-579
An n degree-of-freedom (DOF) non-integrable Hamiltonian system subject to light damping and weak stochastic excitation is called quasi-non-integrable Hamiltonian system. In the present paper, the stochastic averaging of quasi-non-integrable Hamiltonian systems is briefly reviewed. A new norm in terms of the square root of Hamiltonian is introduced in the definitions of stochastic stability and Lyapunov exponent and the formulas for the Lyapunov exponent are derived from the averaged Itô equations of the Hamiltonian and of the square root of Hamiltonian. It is inferred that the Lyapunov exponent so obtained is the first approximation of the largest Lyapunov exponent of the original quasi-non-integrable Hamiltonian systems and the necessary and sufficient condition for the asymptotic stability with probability one of the trivial solution of the original systems can be obtained approximately by letting the Lyapunov exponent to be negative. This inference is confirmed by comparing the stability conditions obtained from negative Lyapunov exponent and by examining the sample behaviors of averaged Hamiltonian or the square root of averaged Hamiltonian at trivial boundary for two examples. It is also verified by the largest Lyapunov exponent obtained using small noise expansion for the second example. 相似文献
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In the present paper,the moment Lyapunov exponent of a codimensional two-bifurcation system is evaluted,which is on a three-dimensional central manifold and subjected to a parametric excitation by the ... 相似文献
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In this paper, we evaluate the maximal Lyapunov exponent for a co-dimension two bifurcation system, which is on a three-dimensional central manifold and is subjected to a parametric excitation by a white noise. Through a perturbation method, we obtain the explicit asymptotic expressions of the maximal Lyapunov exponent for three cases, in which different forms of the coefficient matrix that are included in the noise excitation term are assumed. 相似文献