Turbulent transport of angular momentum in magnetized fluids and torsional oscillations of the sun

Abstract

Fluxes of angular momentum produced by turbulence in rotating fluids are derived with the effects of a magnetic field included. It is assumed that the rotation is slow but that the magnetic field is of arbitrary strength. A mean magnetic field is shown to produce qualitative changes of the sources of the differential rotation rather than the quenching of differential rotation usually expected. A new equatorward flux of angular momentum arises through the influence of the toroidal magnetic field. The possibility of interpreting the torsional oscillations of the Sun as a consequence of the magnetic perturbations of the turbulent angular momentum fluxes is discussed.     

钻孔差应变仪观测的苏门答腊大地震激发的地球环型自由振荡

我们率先用钻孔应变仪观测资料研究了地球自由振荡. 泰安地震台有差应变和体应变两种钻孔应变观测仪器,都观测到2004年12月26日苏门答腊大地震激发的地球自由振荡. 体应变仪观测到地球的球型振荡,而差应变仪观测到地球的环型振荡. 两种观测还记录到环型振荡与球型振荡相互的耦合作用. 观测也记录到明显的一些振型的谱线分裂现象. 用直接观测到的高质量的环型振荡资料求解了0T8～0T19等主要振型的Q值. 根据两个方向的剪应变观测数据,求解了环型振荡的最大剪应变方向,发现这个方向是相当稳定的. 这种研究表明,高精度钻孔应变观测仪是一种理想的地壳形变观测仪器,可以为地球自由振荡研究提供更丰富的信息.     

The effects of torsional ground motion on thin cylindric shell structures

Ｔｈｅｅｆｆｅｃｔｓｏｆｔｏｒｓｉｏｎａｌｇｒｏｕｎｄｍｏｔｉｏｎｏｎｔｈｉｎｃｙｌｉｎｄｒｉｃｓｈｅｌｌｓｔｒｕｃｔｕｒｅｓ王君杰Ｊｕｎ－ＪｉｅＷＡＮＧ（ＩｎｓｔｉｔｕｔｅｏｆＥｎｇｉｎｅｅｒｉｎｇＭｅｃｈａｎｉｃｓ，ＳｔａｔｅＳｅｉｓｍｏｌｏｇｉ...     

偏心结构扭转振动研究中几个基本参量的讨论

本文根据工程振动实测观察及结构地震模拟实验中的模态测量结果指出，通常的确定性弹性分析方法中，直接由构件的几何尺寸确定其刚度并进而确定结构的自振特性，进行结构的弹性反应分析和设计，其结果只能代表结构处于完全理想弹性状态时对外界激励的一种理论估计。由此提出了比较切合实际的基于强度及屈服变形的构件刚度的确定方法，进而指出在偏心结构的扭转振动研究中，结构的刚度偏心实际上依赖于强度偏心，并不能随研究者的意愿随意调整。     

相空间广义拟余能原理用于弹性结构扭振分析

在大跨度桥梁设计中,抗风是工程师们最关心的问题之一,也是桥梁动力稳定问题的重要研究领域。本文按照广义力和广义位移之间的对应关系,将相空间的弹性动力学的基本方程乘上相应的虚量,然后积分,代数相加,并考虑到体积力和面积力均为伴生力,建立了适用于研究大跨度桥梁流固耦合初值问题相空间的两类变量的广义拟余能原理。应用该原理,解决了一个非保守桥梁流固耦合问题的具体算例。并且讨论了如何应用非保守系统的广义拟变分原理进行大跨度桥梁近似计算的问题。     

Multiple‐tuned liquid column dampers for torsional vibration control of structures: theoretical investigation

This paper presents a theoretical investigation on the performance of multiple‐tuned liquid column dampers (MTLCD) for reducing torsional vibration of structures in comparison with single‐tuned liquid column dampers (STLCD). The analytical model is first developed for torsional vibration of a structure with an MTLCD under either harmonic excitation or white noise excitation. The experimental results are then used to verify the analytical model for coupled MTLCD‐structure systems under harmonic excitation. The performance of an MTLCD and its beneficial parameters for achieving the maximum torsional response reduction to white noise excitation are finally investigated through an extensive parametric study in terms of the distance from the centre line of the MTLCD to the rotational axis of the structure, the ratio of the horizontal length to the total length of liquid column, frequency bandwidth, head‐loss coefficient, the number of TLCD units in an MTLCD, frequency‐turning ratio and the spectral level of excitation moment. The results show that there is an optimal head‐loss coefficient and an optimal frequency bandwidth for an MTLCD to achieve the maximum torsional response reduction. It is also demonstrated that the sensitivity of an optimized MTLCD to the frequency‐tuning ratio is less than that of an optimized STLCD, and it can be further improved by increasing the bandwidth but at the cost of less torsional vibration reduction. Copyright © 2002 John Wiley & Sons, Ltd.     

Multiple‐tuned liquid column dampers for torsional vibration control of structures: experimental investigation

This paper presents an experimental investigation on the performance of multiple‐tuned liquid column dampers (MTLCD) for reducing torsional vibration of structures in comparison with single‐tuned liquid column dampers (STLCD). A large structure model simulating its torsional vibration and several STLCDs and MTLCDs of different configurations are designed and constructed. A series of harmonically forced vibration tests are conducted to evaluate the effectiveness of MTLCDs in reducing torsional vibration of the structure and to assess the performance effects of various design parameters, which include the number of TLCD units in a MTLCD, the bandwidth of a MTLCD, the frequency tuning ratio and the moment excitation amplitude. An averaging method is also used to identify the head loss coefficients of STLCDs and MTLCDs in conjunction with the free vibration test technique. The experimental results show that the performance of a MTLCD is better than a STLCD with the same water volume in reducing the torsional vibration of structure. The performance sensitivity to frequency tuning ratio can be improved by using MTLCDs. Copyright © 2002 John Wiley & Sons, Ltd.     

On the inelastic torsional response of single‐storey structures under bi‐axial excitation

An attempt has been made to explore the general trends in the seismic response of plan‐asymmetric structures without any restrictions imposed by a particular code. Systems with structural elements in both orthogonal directions under bi‐directional excitation were studied. Idealized single‐storey models with bi‐axial eccentricity were employed. The systems were torsionally stiff and, in the majority of cases, mass‐eccentric. The main findings are: in general, inelastic torsional response is qualitatively similar to elastic torsional response. Quantitatively, the torsional effect on the flexible side, expressed as an increase of displacements due to torsion, decreases slightly with increasing plastic deformation, unless the plastic deformations are small. The response on the stiff side generally strongly depends on the effect of several modes of vibration and on the influence of the ground motion in the transverse direction. These influences depend on the structural and ground motion characteristics in both directions. Reduction of displacements due to torsion, typical for elastic torsionally stiff structures, usually decreases with increasing plastic deformations. As an additional effect of large plastic deformations, a flattening of the displacement envelopes in the horizontal plane usually occurs, indicating that torsional effects in the inelastic range are generally smaller than in the elastic range. The dispersion of the results of inelastic torsional response analysis is generally larger than that of elastic analysis. Copyright © 2005 John Wiley & Sons, Ltd.     

非对称结构扭转振动多重调谐质量阻尼器(MTMD)控制的最优位置

研究了非对称结构扭转振动多重调谐质量阻尼器(MTMD)控制的最优位置。本文采用的MTMD具有相同的刚度、阻尼，但质量不同。基于导出的设置MTMD时非对称结构扭转角位移传递函数，建立了扭转角位移动力放大系数解析式。MTMD最优参数的评价准则定义为：非对称结构最大扭转角位移动力放大系数的最小值的最小化。MTMD的有效性评价准则定义为：非对称结构最大扭转角位移动力放大系数的最小值的最小化与未设置MTMD时非对称结构最大扭转角位移动力放大系数的比值。基于定义的评价准则，研究了非对称结构的标准化偏心系数(NER)和扭转对侧向频率比(TTFR)对不同位置MTMD最优参数和有效性的影响。     

Performance of multiple tuned mass dampers for attenuating undesirable oscillations of structures under the ground acceleration

Multiple tuned mass dampers (MTMDs) consisting of many tuned mass dampers (TMDs) with a uniform distribution of natural frequencies are considered for attenuating undesirable vibration of a structure. The MTMD is manufactured by keeping the stiffness and damping constant and varying the mass. The structure is represented by its mode‐generalized system in the specific vibration mode being controlled using the mode reduced‐order method. The optimum parameters of the MTMD are investigated to delineate the influence of the important parameters on the effectiveness and robustness of the MTMD by conducting a numerical searching technique in two directions. The parameters include: the frequency spacing, average damping ratio, mass ratio and total number. The criterion selected for the optimization is the minimization of the maximum value of the dynamic magnification factor (DMF) of the structure with MTMD (i.e. Min.Max.DMF). In this paper, for the sake of comparison, the MTMD(II), which is made by keeping the mass constant and varying the stiffness and damping coefficient, and a single TMD are also taken into account. It is demonstrated that the optimum frequency spacing of the MTMD is the same as that of the MTMD(II) and the optimum average damping ratio of the MTMD is a little larger than that of the MTMD(II). It is also found that the optimum MTMD is more effective than the optimum MTMD(II) and the optimum single TMD with equal mass. Copyright © 2000 John Wiley & Sons, Ltd.     

Re-evaluation of seismic torsional provisions

Traditionally, seismic torsional provisions have been evaluated based on the assumption that the strength of the lateral load resisting elements can be adjusted without changing their stiffness. There is an important class of elements that a change of their lateral strength implies a corresponding change of stiffness, as exemplified by reinforced concrete flexural walls. This would imply that when torsional provisions are applied to adjust the strengths of these elements, the stiffness distribution, and also the eccentricity of the system, will change. This paper re-evaluates the consequences of applying the torsional provisions of the Uniform Building Code (UBC, 1997) and also the Eurocode (Eurocode 8, 1994) to single mass eccentric systems supported by elements having such characteristics. In conjunction with the results based on the traditional assumption, the effectiveness of the two provisions to mitigate torsional effects is discussed from a broader perspective. Copyright © 1999 John Wiley & Sons, Ltd.     

Understanding the trends in torsional effects in asymmetric-plan buildings

This paper studied the reasons behind the four trends in torsional effects in asymmetric-plan buildings observed in the current literature. It was found that the modal eccentricities and the non-proportionality between the modal translations and the modal rotation are key to understanding these trends in torsional effects in asymmetric-plan buildings. These key points were obtained from the three-degree-of-freedom modal systems, which represent the single vibration mode of a two-way asymmetric-plan building. This paper showed that the modal eccentricities, rather than the overall structural eccentricities, are the critical parameters for deciding the trend of the unequal displacement demand on the floor diaphragm. In addition, the non-proportionality between the modal translations and the modal rotation leads to the trend that the torsional effects generally decrease when plastic deformations increase.     

Seismic response of light equipment in torsional buildings

This paper attempts to study the response of light equipment items attached to a multi-storey building that may be subjected to large torsional deformations during the earthquake excitation. To account for the effect of torsion and translation, each storey of the building is modelled as two degrees of freedom (DOFs), with one DOF for translation and the other for torsion. Perturbation techniques are employed to find closed-form expressions for the modal properties of the combined system in terms of the properties of the individual subsystems. The interaction between the equipment and building is studied for both tuned and detuned modes of vibration. Modal synthesis results obtained using the present technique based on the complete quadratic combination (CQC) method are compared with solutions obtained by other methods.     

Seismic torsional provisions for dynamic eccentricity

A study is made of the dynamic torsional response of a single mass partially symmetric system to ground excitation. Using the response spectrum technique, the torsional response and dynamic eccentricity are determined as functions of the eccentricity of the system and its uncoupled frequency ratio. It is shown that the dynamic eccentricity can best be expressed as a bilinear function of eccentricity. For the critical condition which occurs when the uncoupled frequency ratio is unity, a comparison is made with the torsional provisions of five seismic codes (Canada, Mexico, New Zealand, ATC3 and Germany). It is shown that the first four codes underestimate the torsional moment, and also the edge displacement of the system, significantly when the eccentricity is small and the uncouped torsional and lateral frequencies are close.     

Simplified model for torsional foundation vibrations

A simplified model is presented to simulate unbounded soil for torsional foundation vibration problems. Based on the criterion of equivalent displacement response, a group of equivalent models are developed for a foundation-soil system. An optimal equivalent model is then determined to represent the best simplified model. The parameters of the optimal equivalent model may be obtained by a much easier and more efficient method than lengthy optimization techniques used by most existing lumped-parameter models. The dynamic torsional responses of the foundation-soil system using the optimal equivalent models are very consistent with those obtained by the half-space theory and by the existing models. With fewer parameters, the optimal equivalent model is also found to be as accurate as most existing models. This proposed method may be effectively applied to practical torsionally vibrating problems involving soil–structure interaction.     

Crustal structure modelling in a spherically symmetrical earth

The choice of a crustal model for a spherically symmetrical earth presents special problems for it is important that the averaging process should correspond to that which occurs in the case of the observed free oscillations. It may not be possible to find a spherically symmetrical crustal model with velocities and densities resembling those of real earth materials.     

Chromospheric oscillations in CaII lines

The dynamic regime of eight regions in the quiet solar chromosphere was analyzed. Observations in CaII lines were performed with a moderate spatial resolution of around 2″. The purpose of this study was to compare the diagnostic capabilities of these observations with high-precision measurements conducted in recent years by different authors with new-generation instruments. Being probably of importance in the chromospheric heating, the recently revealed structural formations (magnetoacoustic portals, magnetic aureoles, and magnetic shadows) were found to manifest themselves at moderate resolutions too. These findings are important in the context of investigations of coronal hole bases conducted by the authors with the same observational data.     

SH waves from torsional sources in semi-infinite heterogeneous media

Summary The theory of Hankel transforms is used to obtain the displacement field forSH waves generated by time harmonic, buried, torsional sources in semi-infinite heterogenous media in which material properties are functions of the depth coordinate. An application to a heterogeneous medium with exponentially varying properties has been discussed. Surface displacements from a surface source have been evaluated at large distances from the source. The results have been compared with those for the homogeneous medium.