瞬变电磁法金属管道腐蚀检测理论初探

对应用瞬变电磁法进行金属管道腐蚀检测作了理论上的初步研究,首先将实际问题简化为等效柱体的全空间问题,然后利用柱体在谐变场中的响应公式,由正余弦变换实现了频率域正演到时间域的转换,最后通过对模拟结果的分析,提出了简洁而又有效的评价管道质量的方法。经由中国冶金地质勘查工程总局地球物理勘查院的施工实验,进一步验证了方法的可行性。     

复阻尼理论的一点注记

本文指出了采用复阻尼理论违背物理事实（即脉冲反应初值h(0)≠0）源于复阻尼理论尚不是一个完善的本构理论，但由于h(0)的相对值很小，因此h(0)≠0不影响系统全过程的动力反应分析。     

可控震源平板—大地振动模型及参数研究

本文对可控震源平板－大地系统建立了质量－弹簧－阻尼器振动数学模型，并给出了各模型参数与大地粘弹性，惯性指标。通过给定不同的相对阻尼比值及系统谐振频率，相应进行了理论计算，得出了其对平板大地系统振动影响的结论。文中得出的一些结论，对实际生产具有参考意义。     

关于剪应力和剪应变的思考

对力学中广泛应用的剪应力互等定理提出了质颖，认为该定理并不能广泛成立。根据内力分析的基本原理，运用截面法分析了该定理成立的条件和适用的范围。回顾了现有剪应变概念的主要描述形式，在讨论和分析其内涵的不确定性的基础上，对剪应变的概念作了修正。     

磁流变阻尼器的构造设计及其阻尼力性能的试验研究

本文根据磁流变液的材料特点和磁路设计原则，设计并制作了一个双出 杆的剪切阀式磁流阻尼器，在伺服试验机上对所设计制作的磁流变阻尼器的阻尼力性能进行了试验研究，并分析了影响阻尼力的各种因素。结果表明：所设计制作的磁流变阻尼器具有一定的剩磁，但剩磁对阻尼力可调系数的影响很小；所设计制作的磁流变阻尼器能够达到的最大阻尼力和阻尼力可调系数都很理想。由此得出结论，本文所设计制作的磁流变阻尼器具有卓越的阻尼性能，可在土木工程结构的半主动振动控制设计中加以推广和应用。     

含随机参数粘弹性结构的有限元法分析

本文在空间上采用有限元法。在时域上采用离散的方法。建立了用扩阶随机有限元方法求解含随机参数粘弹性问题的计算模型，并给出了算例。结果表明，本文解和Monte-Carlo模拟解吻合。     

A pseudo‐force iterative method with separate scale factors for dynamic analysis of structures with non‐proportional damping

Dynamic equilibrium equations of structural systems with non‐proportional damping are coupled through the damping terms. Such coupling invalidates application of the classical modal superposition method. In this paper, a mode‐superposition pseudo‐force method is proposed. The coupled equilibrium equations are solved by an iterative process in which the coupling terms are treated as pseudo‐forces. A scale factor for each mode of the system is obtained by optimizing the iteration convergence. Through these uniquely solved scale factors, the modified modal equations not only converge much faster but also yield results with higher accuracy. A proof of the convergence of the iterative process is also presented. Copyright © 2002 John Wiley & Sons, Ltd.     

The effects of torsion and motion coupling in site response estimation

Soil amplification characteristics are investigated using data from the Chibaken‐Toho‐Oki earthquake and its aftershocks recorded at Chiba dense array in Japan. The frequency‐dependent amplification function of soil is calculated using uphole‐to‐downhole spectral ratio analysis, considering the horizontal components of shear wave. The identified spectral ratios consistently demonstrate the splitting of peaks in their resonance frequencies and low amplification values in comparison with a 1D model. The torsional behaviour and horizontal ground motion coupling are clarified as the reasons for these phenomena at the site. To prove the hypothesis, the torsional motion is directly evaluated using the data of the horizontal dense array in different depths at the site. The comparison between Fourier spectra of torsional motion and identified transfer functions reveals the peaks at the same frequencies. The wave equation including torsion and horizontal motion coupling is introduced and solved for the layered media by applying wave propagation theory. Using the developed model, the effects of torsional motion with horizontal motion coupling on soil transfer function are numerically examined. Splitting and low amplification at resonance frequencies are confirmed by the results of numerical analysis. Furthermore, the ground motion in two horizontal directions at the site is simulated using site geotechnical specification and optimizing the model parameters. The simulated and recorded motions demonstrate good agreement that is used to validate the hypothesis. In addition, the spectral density of torsional ground motions are compared with the calculated one and found to be well predicted by the model. Finally, the results are used to explain the overestimation of damping in back‐calculation of dynamic soil properties using vertical array data in small strain level. Copyright © 2003 John Wiley & Sons, Ltd.     

Representation of radiation damping by fractional time derivatives

When modelling unbounded domains, formulation of a matrix‐valued force–displacement relationship which can take radiation damping into account is of major importance. In this paper, a method to describe the dynamic stiffness by a system of fractional differential equations in the time‐domain is presented. Here, a doubly asymptotic rational approximation of the low‐frequency force–displacement relationship is used, whereas a direct interpretation of the asymptotic part as a fractional derivative is possible. The numerical solution of the corresponding system of fractional differential equations is demonstrated using the infinite beam on elastic foundation as an example. Copyright © 2003 John Wiley & Sons, Ltd.     

Application of non‐linear multiple tuned mass dampers to suppress man‐induced vibrations of a pedestrian bridge

This paper presents an application of multiple tuned mass dampers (MTMDs) with non‐linear damping devices to suppress man‐induced vibrations of a 34m long pedestrian bridge. The damping force generated by each of these damping devices is simply a drag force from liquid acting on an immersed section. The quadratic non‐linear property of these devices was directly determined from free vibration tests of a simple laboratory set‐up. Dynamic models of the bridge and pedestrian loads were constructed for numerical investigation based on field measurement data. The control effectiveness of non‐linear MTMDs was examined along with its sensitivity against estimation errors in the bridge's natural frequency and magnitude of pedestrian load. The numerical results indicated that the optimum non‐linear MTMD system was as effective and robust as its linear counterpart. Then, a six‐unit non‐linear MTMD system was designed, constructed, and installed on the bridge. Field measurements after the installation confirmed the effectiveness of non‐linear MTMDs, and the measurement results were in good agreement with numerical predictions. After the installation, the average damping ratio of the bridge was raised from 0.005 to 0.036 and the maximum bridge accelerations measured during walking tests were reduced from about 0.80–1.30 ms^?2 to 0.27–0.40 ms^?2, which were within an acceptable range. Copyright © 2003 John Wiley & Sons, Ltd.