共查询到20条相似文献,搜索用时 125 毫秒
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用积分法求出了对称非线性水平弹簧振子的振动周期的级数解,并对所得结果进行讨论,得到了线形弹簧振子的振动周期以及x~3振荡器的振荡周期. 相似文献
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弹簧振子的运动问题中,悬挂点(或支点)也在振动的问题或类似的问题,在有的物理教材中作为讲述两个同方向简谐振动合成前的引例,给人的印象是这类问题中振子的绝对运动是通过悬挂点的运动和弹簧振子相对悬挂点的运动两者叠加求解的.如果悬挂点的运动和弹簧振子相对悬挂点的运动都是简谐振动,则求解弹簧振子的绝对运动就是两个同方向简谐振动的合成问题. 相似文献
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高一物理现行课本简谐振动的周期一节,对简谐振动周期公式,只给出了结果没有推导过程,学生学过之后印象不深,如果教师在讲授时用实验验证一下,可以收到事半功倍的效果. 多数学校都有如图1所示的演示弹簧振子.如果用弹簧振子验证公式,则公式中的m表示振子锤的质量,k表示弹簧的倔强系数. 相似文献
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一维保守系统的周期运动与周期-能量关系 总被引:2,自引:2,他引:0
对于由哈密顿函数H(p,q)描述的一维保守系统,导出了当等能线是绕中心的闭合曲线时,相点始终按顺时针或逆时针方向运动的条件,以及振动的周期与系统的能量之间的关系式,讨论了质点在对称势阱内作周期运动的一类情况,并把谐振子、“x^n振子”、单摆及Duffing振子(硬非线性弹簧与软非线性弹簧)作为应用实例。 相似文献
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在“单摆”的教学中,将教学内容适当拓宽对学生深刻理解简谐振动是十分有利的.单摆的振动和弹簧振子是简谐振动的两个典型例子.它们的许多基本内容一致,但也有一些不同点.教学中对它们的异同点,进行比较.要向学生指出简谐振动的周期公式T=2πmk是基本的,所有... 相似文献
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弹簧振子运动周期公式的研究及学生实验的开设李德洪(四川省邮电学校610067)在简谐振动的理论教学中,教材以弹簧振子为例.在简要地介绍了弹簧振子的运动情况后,对弹簧振子运动的周期定量的给出了公式和简要地论述了周期与质量、倔强系数、振幅等物理量的关系.... 相似文献
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Viet Duc La 《Journal of sound and vibration》2012,331(15):3429-3436
A passive dynamic vibration absorber (DVA) moving along a pendulum can cause the nonlinear Coriolis damping to reduce the pendulum swing. This paper proposes a simple semi-active on–off damping controller to improve the passive Coriolis DVA. The aim of the on–off damping control is to amplify the DVA resonance motion to increase the energy dissipated. Moreover, the paper finds the analytical solution of the harmonic vibration of semi-active controlled system. The accuracy of the analytical formulas and the superior performance of the semi-active DVA are verified by numerical simulations. 相似文献
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本文给出了利用基本的物理原理结合高等数学公式的方法推导单摆做简谐运动的周期公式,可以简明扼要地理解单摆简谐运动的过程. 相似文献
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借助GoeGebra软件对简谐运动的振动图像进行拟合,解决了中学物理教师难以根据振动图像(x-t图)利用拟合法获得振动规律的困境. 相似文献
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Hanson RJ Macomber HK Morrison AC Boucher MA 《The Journal of the Acoustical Society of America》2005,117(1):400-412
The purpose of the work reported here is to further experimentally explore the wide variety of behaviors exhibited by driven vibrating wires, primarily in the nonlinear regime. When the wire is driven near a resonant frequency, it is found that most such behaviors are significantly affected by the splitting of the resonant frequency and by the existence of a "characteristic" axis associated with each split frequency. It is shown that frequency splitting decreases with increasing wire tension and can be altered by twisting. Two methods are described for determining the orientation of characteristic axes. Evidence is provided, with a possible explanation, that each axis has the same orientation everywhere along the wire. Frequency response data exhibiting nonlinear generation of transverse motion perpendicular to the driving direction, hysteresis, linear generation of perpendicular motion (sometimes tubular), and generation of motion at harmonics of the driving frequency are exhibited and discussed. Also reported under seemingly unchanging conditions are abrupt large changes in the harmonic content of the motion that sometimes involve large subharmonics and harmonics thereof. Slow transitions from one stable state of vibration to another and quasiperiodic motions are also exhibited. Possible musical significance is discussed. 相似文献
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Jiazhu Hu 《Journal of sound and vibration》2010,329(19):3972-3998
This paper presents an experimental study of the nonlinear dynamic characteristics of taut steel cables using a 3-D motion analysis system. In the experiment, the taut cables have one end fixed and the other end subject to harmonic vertical excitation. The 3-D motion analysis system can simultaneously record (with high resolution) the instant 3-D coordinates of the multiple markers fixed on a vibrating cable; this distinguishes it from other experimental systems used in vibration studies, in which the vibration of only one single point can be recorded during each individual testing. With the 3-D motion analysis system, this experimental study presents a distinctive interpretation of the dynamic characteristics of taut cables in spatial domain (based on the mode-shape information of the entire cable), in addition to one in time domain (based on real-time traces of one single point). This paper introduces the 3-D motion analysis system and experimental setup, discusses practical experimental procedures, and presents a detailed analysis of three sets of experimental vibration data of three taut steel cables with different small sags. The frequency response curves were obtained for three cables. For one of the three taut cables, more informative vibration data were recorded; this cable was studied in greater detail via modal analysis using a modal decomposition technique and nonlinear time-series analysis. 相似文献
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In this paper an Euler–Bernoulli model has been used for vibration analysis of micro-beams with large transverse deflection. Thermoelastic damping is considered to be the dominant damping mechanism and introduced as imaginary stiffness into the equation of motion by evaluating temperature profile as a function of lateral displacement. The obtained equation of motion is analyzed in the case of pure single mode motion by two methods; nonlinear normal mode theory and the Galerkin procedure. In contrast with the Galerkin procedure, nonlinear normal mode analysis introduces a nonconventional nonlinear damping term in modal oscillator which results in strong damping in case of large amplitude vibrations. Evaluated modal oscillators are solved using harmonic balance method and tackling damping terms introduced as an imaginary stiffness is discussed. It has been shown also that nonlinear modal analysis of micro-beam with thermoelastic damping predicts parameters such as inverse quality factor, and frequency shift, to have an extrema point at certain amplitude during transient response due to the mentioned nonlinear damping term; and the effect of system?s characteristics on this critical amplitude has also been discussed. 相似文献
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Hoonhee Jo 《Journal of sound and vibration》2010,329(11):2205-2217
The paper proposes an amplitude reduction method for parametric resonance with a new type of dynamic vibration absorber utilizing quadratic nonlinear coupling. A main system with asymmetric nonlinear restoring force and harmonic excitation causes parametric resonance in the system. In contrast with autoparametric vibration absorber, the natural frequency of the vibration absorber is tuned to be in the neighborhood of twice that of the main system. For such a vibration absorber, we investigate the effect on the amplitude reduction for a parametrically excited main system. Analytical results using the method of multiple scales show that the amplitude of parametric resonance is reduced by the effect of the vibration absorber. The experimental results by a simple apparatus indicate that the parametric resonance is stabilized by the effects of both vibration absorber and Coulomb friction of the main system. Moreover, numerical results considering the Coulomb friction of the main system show that the amplitude of parametric resonance becomes close to zero by the proposed vibration absorber. 相似文献