共查询到19条相似文献,搜索用时 125 毫秒
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分析力学中单摆模型的广义坐标若选取为竖直方向高度,则存在"矛盾",貌似破坏了广义坐标选取的任意性,本文针对此问题进行了分析,并提出了两种修正后的广义坐标选取方案来解决此"矛盾",从而说明在单摆模型中广义坐标选取的任意性没有被破坏. 相似文献
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对用单摆测重力加速度实验中单摆周期的测定进行了研究,给出了一种基于电子秒表的自动测量单摆周期的可靠装置,改进了传统单摆周期测量的不足,提高了测量单摆周期的精度. 相似文献
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对单摆运动进行了讨论。通过对单摆进行能量分析,得出了单摆角频率与角度的关系式,然后运用微元法,推导出了单摆的理论周期公式。计算结果表明,所得到的单摆运动周期的理论公式与展开公式符合得很好。 相似文献
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用电火花计时器作单摆的高压电源,使单摆的针尖和铜片间产生火花放电,并且在单放机带动而做匀速直线运动的纸带上产生放电点迹,形成单摆的振动图像.根据振动图像探究单摆的振动周期与振幅、摆长和摆的质量是否有关. 相似文献
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References: 《理论物理通讯》2007,47(5):851-860
The possibility of modifying a conventional Cavendish torsion pendulum into a half-armed pendulum oscillator to measure the horizontal gravitational acceleration is discussed. A new kind of gravitational detector, gravieye, as we named, can be made by a proper combination of such oscillators to "see" remote objects and to be used, e.g. to detect the movement of huge mass at a long distance. 相似文献
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We study the collective dynamics of a non-dissipative two-coupled pendulum system, including phase synchronization (PS) and measure synchronization (MS). We find that as the coupling intensity between the two pendulums increases, the PS happens prior to the MS. We also present a three-dimensional phase space representation of MS, from which a more detailed information about evolution can be obtained. Fu~.hermore, the order parameters are introduced to describe the phase transition between PS and MS. Finally, through the analysis of the Poincar6 sections, we show that the system exhibits separatrix crossing behavior right at the MS transition point, and as the total initial energy increases, the Hamiltonian chaos will arise with separatrix chaos at the chaotic MS transition point. 相似文献
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Physical analysis on improving the recovery accuracy of the Earth’s gravity field by a combination of satellite observations in along-track and cross-track directions 总被引:1,自引:0,他引:1 下载免费PDF全文
The physical investigations on the accuracy improvement to the measurement of the Earth's gravity field recovery are carried out based on the next-generation Pendulum-A/B out-of-plane twin-satellite formation in this paper. Firstly, the Earth's gravity field complete up to degree and order 100 is, respectively, recovered by the collinear and pendulum satellite formations using the orbital parameters of the satellite and the matching accuracies of key payloads from the twin GRACE satellites. The research results show that the accuracy of the Earth's gravity field model from the Pendulum-A/B satellite formation is about two times higher than from the collinear satellite formation, and the further improvement of the determination accuracy of the Earth's gravity field model is feasible by the next-generation Pendulum-A/B out-of-plane twin-satellite formation. Secondly, the Earth's gravity field from Pendulum-A/B complete up to degree and order 100 is accurately recovered based on the orbital parameters of the satellite (e.g., an orbital altitude of 400 km, an intersatellite range of 100 km, an orbital inclination of 89° and an orbital eccentricity of 0.001), the matching accuracies of space- borne instruments (e.g. 10-6 m in the intersatellite range, 10-3 m in the orbital position, 10-6 m/s in orbital velocity, and 10-11 m/s2 in non-conservative force), an observation time of 30 days and a sampling interval of 10 s. The measurement accuracy of the Earth's gravity field from the next-generation Pendulum-A/B out-of-plane twin-satellite formation is full of promise for being improved by about l0 times compared with that from the current GRACE satellite formation. Finally, the physical requirements for the next-generation Pendulum-A/B out-of-plane twin-satellite formation are analyzed, and it is proposed that the satellite orbital altitude be preferably designed to be close to 400±50 km and the matching precision of key sensors from the Pendulum-A/B mission be about one order of magnitude higher tha 相似文献
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The authors investigate the forced oscillations of a torsional pendulum oriented in a definite way on a platform traveling in a circular nonequatorial orbit around a source of a Lenze-Thirring metric (in particular, around the earth). This general relativistic effect is associated with the inception in the platform reference frame of periodic inertial forces acting on the ends of the pendulum, with a period equal to the time of rotation of the platform in its own reference frame.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 1, pp. 47–50, January, 1982. 相似文献
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William Cates Alan Cresswell Robert L. Zimmerman 《General Relativity and Gravitation》1988,20(10):1055-1066
This second article on dual mass investigates the physical evidence for the existence of dual mass. We discuss three possible observations that could be used to bound the amount of dual mass in the solar system: the Eotvos experiment, the relativistic pendulum, and planetary orbits. The Eotvos experiment is used to conclude that the ratio of dual mass to ordinary mass is a constant. Under this assumption the dual mass effects are proportional to a dimensionless parameter which is proportional to the ratio of dual to ordinary mass. We consider two effects: First we show that a pendulum swinging in the gravitational field of the earth would be subject to a precession of the plane of oscillation; second, we show that dual mass in the solar system creates a lifting of planetary orbits. Observations of a pendulum should yield to an accuracy of 10–4 and limits on the detectability of the planetary lifting puts an upper bound on of about 10–1. 相似文献
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Given a set of experimental or numerical chaotic data and a set of model differential equations with several parameters, is it possible to determine the numerical values for these parameters using a least-squares approach, and thereby to test the model against the data? We explore this question (a) with simulated data from model equations for the Rossler, Lorenz, and pendulum attractors, and (b) with experimental data produced by a physical chaotic pendulum. For the systems considered in this paper, the least-squares approach provides values of model parameters that agree well with values obtained in other ways, even in the presence of modest amounts of added noise. For experimental data, the "fitted" and experimental attractors are found to have the same correlation dimension and the same positive Lyapunov exponent. (c) 1996 American Institute of Physics. 相似文献
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介绍一种组合式摆动实验仪,它可以将三线摆、两线摆、扭摆和单摆这四种实验仪器巧妙组合在一起,成为一种新的实验仪,具有一台实验仪测量多种摆动的功能,可以实现多种物理量的测量以及对不同摆动规律的研究,有效节约购置仪器成本。 相似文献
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We discuss the possible effects of gravitational-wave stochastic background on the performance of a pendulum device such those used in precise measurements of the gravitational constant G. The variation Q of the quality factor Q of the pendulum induced by the stochastic background is evaluated, by using as numerical input the results obtained in gravitational antennas experiments. It is found |q|10–10, completely negligible with respect to a typical value Q105. 相似文献