基于Tracker软件研究竖直方向阻尼振动的居家实验

设计了基于Tracker软件研究竖直方向阻尼振动的居家实验.选用橡皮筋和水果自制振子模型,利用Tracker软件对自制橡皮筋振子的阻尼振动进行研究,绘制橡皮筋振子模型在竖直方向上做阻尼振动的“y t”图像,并通过数据拟合,计算出该阻尼振动的振幅、周期、圆频率、阻尼系数等,是利用生活物品进行大学物理实验的一次尝试.     

Dissipation-Dependent Thermal Escape from a Potential Well

Langevin simulations are conducted to investigate the Josephson escape statistics over a large set of parameter values for damping and temperature. The results are compared to both Kramers and Büttiker–Harris–Landauer (BHL) models, and good agreement is found with the Kramers model for high to moderate damping, while the BHL model provides further good agreement down to lower damping values. However, for extremely low damping, even the BHL model fails to reproduce the progression of the escape statistics. In order to explain this discrepancy, we develop a new model which shows that the bias sweep effectively cools the system below the thermodynamic value as the potential well broadens due to the increasing bias. A simple expression for the temperature is derived, and the model is validated against direct Langevin simulations for extremely low damping values.     

TRANSVERSE VIBRATION OF ELASTIC-VISCOELASTIC-ELASTIC SANDWICH BEAMS: COMPRESSION-EXPERIMENTAL AND ANALYTICAL STUDY

Experimental and analytical results are presented from an investigation into the compressional vibration of an elastic-viscoelastic-elastic three-layer sandwich beam. Most analytical models make the fundamental assumption that shear deformation in the viscoelastic core yields the largest damping and compressional deformation is negligible. Experimental results from a cantilever beam with a constrained layer viscoelastic damping treatment driven with a sinusoidal input are given which show compressional deformation over a relatively wide driving frequency range. A new analytical model for compressional damping is presented and compared with experimental results, with the Mead and Markus shear damping model, and with the Douglas and Yang compressional damping model. These results indicate that the proposed compressional model is a better predictor of resonance frequencies for the cantilever beams tested and that all models show deficiencies in predicting damping     

Vibration modeling of structural fuzzy with continuous boundary

From experiments it is well known that the vibration response of a main structure with many attached substructures often shows more damping than structural losses in the components can account for. In practice, these substructures, which are not attached in an entirely rigid manner, behave like a multitude of different sprung masses each strongly resisting any motion of the main structure (master) at their base antiresonance. The "theory of structural fuzzy" is intended for modeling such high damping. In the present article the theory of fuzzy structures is briefly outlined and a method of modeling fuzzy substructures examined. This is done by new derivations and physical interpretations are provided. Further, the method is extended and simplified by introducing a simple deterministic approach to determine the boundary impedance of the structural fuzzy. By using this new approach, the damping effect of the fuzzy with spatial memory is demonstrated by numerical simulations of a main beam structure with fuzzy attachments. It is shown that the introduction of spatial memory reduces the damping effect of the fuzzy and in certain cases the damping effect may even be eliminated completely.     

Enhanced gilbert damping in thin ferromagnetic films

The precession of the magnetization of a ferromagnet is shown to transfer spins into adjacent normal metal layers. This "pumping" of spins slows down the precession corresponding to an enhanced Gilbert damping constant in the Landau-Lifshitz equation. The damping is expressed in terms of the scattering matrix of the ferromagnetic layer, which is accessible to model and first-principles calculations. Our estimates for permalloy thin films explain the trends observed in recent experiments.     

HIGHER VIBRATION MODES IN RAILWAY TRACKS AT THEIR CUT-OFF FREQUENCIES

Forced vibrations of a railway track excited at the cut-off frequency of one of its wave modes are examined theoretically, numerically and experimentally in the frequency range from 5 to 50 kHz. The background of this paper is the new idea of using the local vibration zone of the rail close to the excitation to detect passing train wheels. An important parameter which influences this local vibration zone is system damping. The determination of a new quality factor to characterize damping of a system which both resonates and interacts with travelling waves is first studied in the case of a beam on a viscoelastic foundation. Some key differences compared with a single-degree-of-freedom (s.d.o.f.) mechanical oscillator are pointed out and an adopted damping measurement method is suggested. The phenomenological behavior of higher vibration modes is then investigated using a model of several elastically connected beams referred to as the multiple-mode model. Modal damping is introduced and the model is studied both in a continuous and in a discretely supported configuration. Both localized and non-localized modes are observed in the latter case. The cut-off frequencies and mode shapes are also determined experimentally at a real test track using a scanning laser interferometer and show good agreement with numerical calculations. The spatial behavior of the measured system response at the test track corresponds well to the effects predicted by the multiple-mode model. Damping measurements are performed and the quality factors of several modes are determined and discussed.     

IDENTIFICATION OF DAMPING: PART 4, ERROR ANALYSIS

In previous papers (S. ADHIKARI and J. WOODHOUSE 2001 Journal of Sound and Vibration243, 43-61; 63-88; S. ADHIKARI and J. WOODHOUSE 2002 Journal of Sound and Vibration251, 477-490) methods were proposed to obtain the coefficient matrix for a viscous damping model or a non-viscous damping model with an exponential relaxation function, from measured complex natural frequencies and modes. In all these works, it has been assumed that exact complex natural frequencies and complex modes are known. In reality, this will not be the case. The purpose of this paper is to analyze the sensitivity of the identified damping matrices to measurement errors. By using numerical and analytical studies it is shown that the proposed methods can indeed be expected to give useful results from moderately noisy data provided a correct damping model is selected for fitting. Indications are also given of what level of noise in the measured modal properties is needed to mask the true physical behaviour.     

Microscopic damping mechanism of micro-porous metal films

Metal thin films are used widely to solve the vibration problem. However, damping mechanism is still not clear, which limits the further improvement of the damping properties for film and the development of multi-functional damping coating. In this paper, Damping microscopic mechanism of porous metal films was investigated at both macroscopically and microscopically mixed levels. Molecular dynamics simulation method was used to model and simulate the loading-unloading numerical experiment on the micro-pore and vacancy model to get the stress-strain curve and the microstructure diagram of different defects. And damping factor was calculated by the stress-strain curve. The results show that dislocations and new vacancies appear in the micro-pores when metal film is stretched. The energetic consumption from the motion of dislocation is the main reason for the damping properties of materials. Micro-mechanism of damping properties is discussed with the results of in-situ experiment.     

Analysis of thermoelastic dissipation in circular micro-plate resonators using the generalized thermoelasticity theory of dual-phase-lagging model

This study investigates the thermoelastic dissipation of micro-plate resonators by using the generalized thermoelasticity theory of dual-phase-lagging model. Explicit formulae of thermoelastic damping and frequency shift are derived. Influences of the plate thickness and vibration frequency on the thermoelastic damping are examined. Phenomena distinct from those of classical theory are observed in the numerical results of thermoelastic damping in micro-plate resonators. These results may bring new insights into the study of thermoelastic damping at submicrometer or nanometer scale.     

Uniform expansion of the transition rate in Kramers' problem

Kramers' model of diffusion over potential barriers, e.g., chemical reactions, based on the noise activated escape of a particle from a potential well, is considered. Kramers derived escape rates valid for intermediate and large damping, and in a separate analysis, for small damping. In the small damping limit, Kramers' intermediate result reduces to the transition state rate which does not agree with the small damping result. A new escape rate is derived that is uniformly valid for all values of the damping coefficient. The new rate reduces to Kramers' results in the appropriate limits and, in particular, connects Kramers' intermediate and small damping results.This work was partially supported by the Air Force Office of Scientific Research under Grant No. AFOSR-83-0086, U.S. Department of Energy under Grant No. DE-AC02-78ERO-4650, and the National Science Foundation under Grant No. MCS-83-00562. One of us (BJM) gratefully acknowledges the support of a John Simon Guggenheim Memorial Foundation Fellowship.     

The influence of the stretching mode on proton transfer in the H-bonded systems

A comparison between two models of proton transfer in the symmetric H-bond interacting in a thermal reservoir is made. It is shown that in a more general model (including both previous ones as special cases) a new qualitative feature in proton damping appears.     

随机耦合模型中损耗因子的分析与获取

随机耦合模型(RCM)是研究电磁脉冲干扰下波混沌系统中感应电压统计预测的新方法,其中波混沌腔体损耗因子的获取是这种方法使用的关键。从随机耦合模型理论出发,分析了损耗因子对腔体阻抗随频率变化特性的影响,探讨了不同损耗因子下归一化阻抗矩阵的统计特性,提出了使用腔体散射阻抗与辐射阻抗的比值作对照,以快速获取腔体损耗因子的新方法。     

The evolution equation of the scalar field in the new inflationary universe

We derive an effective evolution equation for the scalar field driving inflation in the new inflationary universe. We use a perturbative calculation scheme proposed recently by Morikawa and Sasaki. The relevant initial conditions and dynamical constraints for the Coleman-Weinberg effective potential to appear in the evolution equation are discussed as well as the form of the particle production damping term. The validity of these conditions in the new inflationary universe model is discussed.     

A Damped Oscillator with a <Emphasis Type="Italic">δ</Emphasis>-Kicked Frequency in the Probability Representation of Quantum Mechanics

We obtain the tomogram of squeezed correlated states of a quantum parametric damped oscillator in an explicit form. We study the damping within the framework of the Caldirola–Kanai model and chose the parametric excitation in the form of a very short pulse simulated by a δ-kick of frequency; the squeezing phenomenon is reviewed for both models. The cases of strong and weak damping are investigated.     

A model calculation of radiation damping by the energy balance method

The method of calculating radiation damping effects by means of energy balance is applied to a simple model problem. The balance equation is derived from the conservation law for energy that is a consequence of the equations of motion for the system by integrating over a four-dimensional space-time region bounded in the wave zone by two future-directed null cones and in the near zone by twot=const surfaces. It is assumed that the sources are in slow motion and the fields are calculated by the method of matched asymptotic expansions. Our principle conclusion is that even though the damping isO( ³) where is an expansion parameter the fields need only be determined toO(1) to calculate the effects of damping by this method.Work supported in part by NSF Grant No. 79-11664-01.     

Laguerre-Polynomial-Weighted Two-Mode Squeezed State

We propose a new optical field named Laguerre-polynomial-weighted two-mode squeezed state. We find that such a state can be generated by passing the l-photon excited two-mode squeezed vacuum state C_la^?lS₂|00〉 through an single-mode amplitude damping channel. Physically, this paper actually is concerned what happens when both excitation and damping of photons co-exist for a two-mode squeezed state, e.g., dessipation of photon-added two-mode squeezed vacuum state. We employ the summation method within ordered product of operators and a new generating function formula about two-variable Hermite polynomials to proceed our discussion.     

Diffusion of thermonuclear alpha particles under the influence of intense LH waves

Recently, a new mechanism was proposed by Fisch and Rax which should lead to amplification of lower hybrid (LH) waves at the expense of alpha particles energy, improving thus the LH current drive efficiency. The present contribution investigates the possibility of achieving the conditions on which this mechanism — based on the spatial diffusion of fusion alpha particles — could become operative. The analysis performed shows that in reactor grade tokamaks, the penetration of LH waves into the plasma column is very poor due to the intense electron Landau damping and the complicated geometry of the equilibrium magnetic fields. Consequently, at acceptable LHW input power levels, the waves do not reach the regions where fusion alpha particle power could reasonably compensate the losses of LHW energy due to the damping by electrons. The model of Fisch and Rax is based on special features of the induced diffusion of alpha particles in the energy-configuration space. Using suitable Hamiltonian formalism, the LHW induced radial diffusion of alpha particles and the energy transport between LHW and alpha particles in the frame of generalized quasilinear lines of diffusion constraint is also investigated. A rather strong change ofk of LHW along the ray trace can contribute to the change of energy transport between LHW and alpha particles as well.The authors are indebted to Dr. R. Klíma for valuable discussions.     

Structural damping identification based on an iterative regularization method

A time domain structural damping identification method is presented in this paper. The damping of a structure is assumed to be time-invariant Rayleigh damping, time-variant Rayleigh damping and modal damping, respectively, and an iterative regularization method is proposed to identify these three types of damping in turn. A sensitivity approach is adopted in the formulation of the ill-posed inverse problem. A new constraint is imposed on the identified iterative increment as well as on the unknown structural parameters to ensure their physical meaning in the identification process is not lost. The proposed method is verified in numerical studies with a space frame structure and laboratory measurements of accelerations with accurate results.