Vibration and sound signatures of human footsteps in buildings

The acoustic signature of a footstep is one of several signatures that can be exploited for human recognition. Early research showed the maximum value for the force of multiple footsteps to be in the frequency band of 1-4 Hz. This paper reports on the broadband frequency-dependent vibrations and sound pressure responses of human footsteps in buildings. Past studies have shown that the low-frequency band (below 500 Hz) is well known in the literature, and generated by the force normal to the ground/floor. The seismic particle velocity response to footsteps was shown to be site specific and the characteristic frequency band was 20-90 Hz. In this paper, the high-frequency band (above 500 Hz) is investigated. The high-frequency band of the vibration and sound of a human footstep is shown to be generated by the tangential force to the floor and the floor reaction, or friction force. The vibration signals, as a function of floor coverings and walking style, were studied in a broadband frequency range. Different walking styles result in different vibration signatures in the low-frequency range. However, for the walking styles tested, the magnitudes in the high-frequency range are comparable and independent of walking style.     

Application of broadband nonlinear targeted energy transfers for seismic mitigation of a shear frame: Computational results

In this work we show that it is possible to successfully apply the concept of nonlinear targeted energy transfer (TET) to seismic protection of structures; moreover, this passive strategy of seismic vibration control is found to be feasible and robust. We consider a three-story shear-frame structure, modeled as a three-degree-of-freedom system, subjected to four historic earthquakes as seismic excitation. Seismic mitigation is achieved by applying single or multiple nonlinear energy sinks (NESs) to the test structure. We study the performance and efficiency of the NESs through a set of evaluation criteria. First we consider a single vibro-impact NES (VI NES) applied to the top floor of the structure. In order to assess the robustness of the VI NES, the NES parameters are optimized for a specific seismic excitation (Kobe), and then tested against the three other earthquake records to demonstrate effectiveness of the NES for these cases as well. To further improve the effectiveness of the seismic mitigation, we then consider a system of two NESs—an NES with smooth nonlinearity at the top floor of the test structure and a VI NES at the bottom floor. We show that it is indeed possible to drastically reduce the structural seismic response (e.g., displacements, drifts, and accelerations) using this configuration.     

Attenuation of flexural vibration for floating floor and floating box induced by ground vibration

This paper investigates the vibration isolation performance of floating floor and floating box structures to control rail vibration transmission. Simple theoretical and experimental methods are developed to analyze the effects of stiffener beam, mass and arrangement of isolator on the fundamental natural frequency of the flexural vibration of floating floor and box structure.The vibration reduction performances of floating floor and box structure are found to be degraded by flexural vibration of the floor or supporting stiffener beam. From the results of vibration measurements; stiffener beams increase the fundamental natural frequency of flexural vibration of floating floor and enhance vibration isolation. Also they can further alleviate the effect of flexural vibration using optimum isolator arrangement effectively. The proposed floating box design achieved a vibration reduction of 15-30 dB in frequency region of critical rail vibration (30-200 Hz).     

Optimum connecting dampers to reduce the seismic responses of parallel structures

Parameters of connecting dampers between two adjacent structures and twin-tower structure with large podium are optimized through theoretical analysis. The connecting visco-elastic damper (VED) is represented by the Kelvin model and the connecting viscous fluid damper (VFD) is represented by the Maxwell model. Two optimization criteria are selected to minimize the vibration energy of the primary structure and to minimize the vibration energy of both structures. Two representative numerical examples of adjacent structures and one three-dimensional finite element model of a twin-tower with podium structure are used to verify the correctness of the theoretical approach. On the one hand, by means of theoretical analysis, the first natural circular frequencies and total mass of the two structures can be taken as parameters in the general formula to get the optimal parameters of the coupling dampers. On the other hand, using the Kanai-Tajimi filtered white-noise ground motion model and several actual earthquake records, the appropriate parameters of two types of linking dampers are obtained through extensive parametric studies. By comparison, it can be found that the results of parametric studies are consistent with the results of theoretical studies for the two types of dampers under the two optimization criteria. The effectiveness of VED and VFD is investigated in terms of the seismic response reduction of the neighboring structures. The numerical results demonstrate that the seismic response and vibration energy of parallel structures are mitigated significantly. The performances of VED and VFD are comparable to one another. The explicit formula of VED and VFD can help engineers in application of coupled structure control strategies.     

Noncontact ultrasound stimulated optical vibrometry study of coupled vibration of arterial tubes in fluids

Coupled vibration of arterial tubes is analyzed with the wave propagation approach and first-order shear deformation theory. Both the interior and exterior fluids are considered as compressible so that acoustic waves can be generated and propagated in the fluids. Results obtained using the theory have been evaluated against those available in the literature and the agreement has been found to be good. The theory can be used for future research on the vibration and acoustics of arterial walls. Vibration experiments were carried out on a silicone rubber tube in a water tank with a novel ultrasound stimulated optical vibrometry system. This system uses the radiation force of ultrasound to vibrate the tube at low frequency and records the resulting response by a laser vibrometer. Both the excitation and measurement are remote and noncontact. The silicone rubber tube was chosen because it has mechanical properties close to those of arteries. The fundamental frequency is well excited by the radiation force and measured with the laser. The measured fundamental frequency is in good agreement with the present theory.     

贴片晶振在冲击环境下的损伤边界

贴片式石英晶体振荡器广泛应用于各类电子和通信设备系统中。针对晶振在冲击环境中容易出现结构破坏而导致系统工作异常的问题,通过分析单自由度系统在不同频率冲击载荷作用下的响应特点,建立了结构的应力响应水平与相关冲击响应谱谱值之间的联系,获得了较已有结论更合理的损伤边界形式。根据典型晶振结构易损组件的力学特性建立对应的简化分析模型,得到了贴片晶振在大频率范围内的结构损伤边界。利用有限元仿真软件,对晶振结构在0.5~30 kHz频率范围内冲击载荷下的响应进行仿真分析,验证了该损伤边界的有效性。这也为以贴片晶振为代表的微小元器件在冲击环境下的可靠性研究提供了一种可行的方法。     

Free and random vibrations of column-supported cooling towers

A transfer matrix formulation is used to develop an efficient algorithm to analyze the dynamic behavior of a cooling-tower structure, which consists of a thin hyperbolic shell of revolution supported at the base by flexible columns. The paper is divided into three parts: (1) free vibration, (2) seismic excitation, and (3) wind excitation. The seismic effect is assumed to be dominated by the horizontal ground acceleration, modeled as an evolutionary random process. The wind pressure field is separated into a static part and a fluctuation part, the latter being modeled as a statistically stationary random field. Numerical examples are given to illustrate the application of the theory. In the case of wind excitation, surprising results are found that the fluctuation part of the structural response is not always dominated by the lowest frequency modes, contrary to common expectations.     

基于PANDA平台的光机部件随机振动响应分析

基于PANDA自主并行计算平台，采用模态叠加法开展了多点基础激励作用下的随机振动响应分析算法设计和并行实现研究，构建了相应的并行求解模块。针对光机装置打靶样机中的六自由度平台结构，基于自主研发的软件模块，分析了该结构的模态特性及结构在地脉动载荷下的微振动响应，并与试验结果及商业软件分析结果进行了比对，在模态频率、振型和位移响应方面，都具有较好的一致性，验证了相关软件模块的正确性和PANDA平台在实际工程结构分析中的可用性。     

Multiple support excitations of open-plane frames by a filtered white noise and soil-structure interaction

Seismic structural design is essentially the estimation of structural response to a forced motion, which may be deterministic or stochastic, imposed on the ground. The assumption that the same ground motion acts at every point of the base of the structure (or at every support) is not always justifiable; particularly in case of very large structures when considerable spatial variability in ground motion can exist over significant distances—example long span bridges. This variability is partly due to the delay in arrival of the excitation at different supports (which is called the wave passage effect) and due to heterogeneity in the ground medium which results in incoherency and local effects. The current study examines the influence of the wave passage effect (in terms of delay in arrival of horizontal ground excitation at different supports and neglecting transmission through the structure) on the response of a few open-plane frame building structures with soil-structure interaction. The ground acceleration has been modeled by a suitably filtered white noise. As a special case, the ground excitation at different supports has also been treated as statistically independent to model the extreme case of incoherence due to local effects and due to modifications to the ground motion resulting from wave reflections and refractions in heterogeneous soil media. The results indicate that, even for relatively short spanned building frames, wave passage effect can be significant. In the absence of soil-structure interaction, it can significantly increase the root mean square (rms) value of the shear in extreme end columns for the stiffer frames but has negligible effect on the flexible frames when total displacements are considered. It is seen that pseudo-static displacements increasingly contribute to the rms value of column shear as the time delay increases both for the stiffer and for the more flexible frames. When soil-structure interaction is considered, wave passage effect (in terms of total displacements) is significant only for low soil shear modulus, G_s, values (where soil-structure interaction significantly lowers the fundamental frequency) and for stiff frames. The contribution of pseudo-static displacement to these rms values is found to decrease with increase in G_s. In general, wave passage effect for most interactive frames is insignificant compared to the attenuating effect a decrease in G_s has on the response of the interactive structure to uniform support excitation. When the excitations at different supports are statistically independent, it is seen that for both the stiff and flexible frames, the rms value of the column shear in extreme end columns is several times larger (more for the stiffer frames) than the value corresponding to uniform base excitation with the pseudo-static displacements contributing over 99% of the rms value of column shear. Soil-structure interaction has an attenuating effect on the rms value of the column shear, the effect decreasing with increase in G_s. Here too, the pseudo-static displacements contribute very largely to the column shear. The influence of the wave passage effect on the response of three 2-bay frames with and without soil-structure interaction to a recorded horizontal accelerogram is also examined.     

Ultrasonic wave generation due to human footsteps on the ground

Human footsteps generate broadband frequency vibrations in the ground/floor and sound in the air from a few Hertz up to ultrasonic frequencies due to striking and sliding contacts between a foot and the ground/floor. The high-frequency (above 1 kHz) vibrations from footsteps were detected on a building floor, but were not detected on the outdoor ground, even at 1 m from a walker. This paper presents results of ultrasound registration from footsteps on the ground at greater distances. Results are based on sound measurements in air, since the sound absorption in air is less than vibration absorption in the ground.     

大长宽比长条形SiC反射镜的优化设计与试验

针对某离轴三反光学系统中的大长宽比长条形SiC反射镜镜面边缘随机振动加速度响应均方根值过大的特点,提出一种采用"基结构法"的反射镜结构拓扑优化方法,以随机振动加速度响应均方根值最小化为优化目标.首先对某初始反射镜结构进行有限元分析,发现反射镜镜面边缘点Z向加速度响应均方根值过大.其次,应用连续体结构拓扑优化思想,以反射镜镜面边缘点的随机振动加速度响应均方根值作为优化目标,以镜面峰谷值、镜体一阶约束频率作为约束条件,以反射镜筋板式基结构作为优化空间,对反射镜镜体结构进行拓扑优化设计,得到了一种各项力学性能指标及面形精度均满足指标要求的反射镜轻量化结构.最后,通过有限元分析与振动试验,验证了本文设计的反射镜结构拥有良好的力学性能,其中反射镜镜体质量相比优化前降低了13%,镜面边缘点的Z向随机振动加速度响应均方根值降低了58%,证明了本文优化方法的有效性.     

Integration of shock absorption and energy harvesting using a hydraulic rectifier

Hydraulic shock absorbers have been widely used to dissipate kinetic energy of the shocks into surrounding environment. By employing oscillatory motion to drive power generator, the shock energy can be converted into electricity for harvesting. However, the frequent bidirectional oscillation of the generator can cause a large impact force. This further leads to deteriorated energy harvesting performance, moving parts fatigue, and even system failure. As such, this study introduces four check values to form a hydraulic rectifier to integrate the shock absorption and energy harvesting functionalities. The bidirectional oscillation of the shock and the vibration is converted into unidirectional rotation to drive the generator. Following the proposed concept, a prototype energy-harvesting shock absorber has been designed and fabricated. An electromechanical model has also been developed to examine the response behavior of the prototype device. The prototype performance has been characterized based on the experimental results from three test setups. Both mechanical and electrical parameters of the electromechanical model have been identified based on our cyclic loading experiments. The results have shown that the developed energy-harvesting shock absorber is capable of harvesting the energy and absorbing the shock simultaneously. In our experiments, a maximum of 248.8 W instantaneous power (a maximum of 114.1 W on average) has been captured and a maximum of 38.81% energy harvesting efficiency has been achieved via harmonic excitation with an amplitude of 8 mm and a frequency of 2 Hz, when the load resistance is tuned to 7.5 Ω.     

双稳态结构中的1/2次谐波共振及其对隔振特性的影响

以典型的双稳态系统——屈曲梁结构为例,基于等效模型,结合解析、数值和实验手段,研究了双稳态结构中的1/2次谐波共振特性、演化过程、参数调节规律及其对隔振特性的影响.研究发现,当非线性刚度系数或激励幅值增加到一定程度时,系统会在一定带宽下产生显著的1/2次谐波共振;随着激励幅值增加,阻尼系统的1/2次谐波遵循“产生-增强-衰退-消失”的过程,该过程对峰值频率和峰值传递率有重要影响;适当提高非线性强度能有效改善双稳态结构隔振特性.针对双稳态屈曲梁结构开展的实验验证了1/2次谐波特性和隔振特性变化规律.     

Actuator saturation control of uncertain structures with input time delay

This paper presents a robust saturation control approach for active vibration attenuation of building structures involving parameter uncertainties and input time delay. The parameter uncertainties are described in both polytopic and norm-bounded forms and represent the variations of floor masses, stiffnesses and damping coefficients. The input time delay can be time-varying within a known bound. In terms of the feasibility of certain delay-dependent linear matrix inequalities (LMIs), a state feedback controller can be designed to guarantee the robust stability and performance of the closed-loop system in the presence of parameter uncertainties, actuator saturation, and input time delay. The effectiveness of the proposed approach is investigated by numerical simulations on the vibration control of a three-storey building structure subject to seismic excitation. It is validated that the designed robust saturation controller can effectively suppress the structural vibration and keep the system stability when there are parameter uncertainties and input time delay.     

Broadband piezoelectric power generation on high-energy orbits of the bistable Duffing oscillator with electromechanical coupling

An important issue in resonant vibration energy harvesters is that the best performance of the device is limited to a very narrow bandwidth around the fundamental resonance frequency. If the excitation frequency deviates slightly from the resonance condition, the power out is drastically reduced. In order to overcome this issue of the conventional resonant cantilever configuration, a non-resonant piezomagnetoelastic energy harvester has been introduced by the authors. This paper presents theoretical and experimental investigations of high-energy orbits in the piezomagnetoelastic energy harvester over a range of excitation frequencies. Lumped-parameter nonlinear equations (electromechanical form of the bistable Duffing oscillator with piezoelectric coupling) can successfully describe the large-amplitude broadband voltage response of the piezomagnetoelastic configuration. Following the comparison of the electromechanical trajectories obtained from the theory, it is experimentally verified that the piezomagnetoelastic configuration can generate an order of magnitude larger power compared to the commonly employed piezoelastic counterpart at several frequencies. Chaotic response of the piezomagnetoelastic configuration is also compared against the periodic response of the piezoelastic configuration theoretically and experimentally. Overcoming the bias caused by the gravity in vertical excitation of the piezomagnetoelastic energy harvester is discussed and utilization of high-energy orbits in the bistable structural configuration for electrostatic, electromagnetic and magnetostrictive transduction mechanisms is summarized.     

大口径相机主镜/次镜结构动力减振的研究

本文对大口径相机结构次镜相对主镜的振动进行了分析,并提出了次镜动力减振的减振方式,且对动力减振系统进行了分析。最后对某相机的动力减振结构进行了优化设计,并计算了一定冲击激励下原结构与带动力减振结构的响应时间历程。结果表明动力减振具有一定的减振效果,对相机高成象质量的保证具有一定的应用意义.     

变压器振动在典型建筑结构中的衰减特性*

为掌握10 kV居民区配电变压器振动在建筑中的衰减规律,将实测的变压器振动加速度转化为激励力,作用于剪力墙和框架建筑上,采用有限元法仿真研究变压器振动在建筑中的衰减特性。结果表明,在具有相同层高、层数的剪力墙、框架高层建筑中,位于负一层的变压器传播至各楼层的铅垂向振动加速度级(0～500 Hz),随楼层离地高度h对数值(lg h)的增加线性下降,其斜率分别为33.26和24.84,前者的衰减速率(lg h每增加1振动加速度级的衰减量)约为后者的1.3倍;在剪力墙、框架多层建筑中斜率分别为31.87和20.07,前者的衰减速率约为后者的1.6倍。可见,当建筑层高、层数相同时,变压器振动在剪力墙建筑中比框架建筑中衰减更快;当建筑结构相同时,振动在高层建筑中的衰减速率略大于多层建筑。对0～80 Hz环境振动,变压器振动在剪力墙高层建筑中的铅垂向Z振级衰减速率约为框架高层建筑的2.4倍;剪力墙多层建筑振动衰减速率约为框架多层建筑的3.7倍。在此基础上,建立了变压器传播至剪力墙、框架建筑不同楼层的振动单值和分频段预测模型,可为变压器引起的建筑室内振动预测和控制提供依据。     

Vibration characteristics of the Mk II Fokker Bond Tester probe

The vibration characteristics of three Fokker Bond Tester probes (3814, 3412 and 3414), with different length to diameter ratios, have been investigated. The resonant frequencies of each of the three probes have been predicted and measured, there being good agreement between the two sets of results. The mode shapes of a large model of a Fokker Bond Tester crystal have also been predicted and measured, with excellent agreement between theory and practice being obtained. This indicates that the predicted mode shapes for the crystals, obtained using a similar analysis to that used for the model, are also accurate. The frequency response of each of the Fokker Bond Tester probes tested is quite complex, there being many more major modes of vibration of the crystal in the frequency range of interest than is suggested by the manufacturers. The corresponding mode shapes of the crystal are also more complex than other reports indicate.     

Dynamic analysis of slip damping in clamped layered beams with non-uniform pressure distribution at the interface

Slip damping is a mechanism exploited for dissipating noise and vibration energy in aerodynamic and machine structures. Such slip in layered structures can be simulated by applying pressure to hold the members together at the interface. However, while most analyses of the mechanism assume an environment of uniform pressure at the interface, experiments to date have confirmed that this is rarely the case. There have been recent attempts to relax the restriction of uniform interface pressure to allow for more realistic pressure profiles that are encountered in practice. However, such works have mostly been limited to static loading for which it has been established that the interfacial pressure gradient does play a dominant role in modulating the level of energy dissipation. This paper is an attempt to extend such analyses to account for cases of realistic dynamic loading that drive such structural vibration in the first instance. In particular, it is shown that under dynamic loads, frequency variation more than non-uniformity in the interface pressure can have significant effect on both the energy dissipation and the logarithmic damping decrement associated with the mechanism of slip damping in such layered structures.     

机械振动理论方法与直链烷烃性质研究

将直链烷烃分子看成是一个多自由度振动系统 ,用机械振动理论中的传递矩阵法计算了C2 ～C3 2 直链烷烃的固有频率 ,分析了固有频率随化合物结构单元的变化规律 .发现各阶固有频率中的基频与直链烷烃的结构型性质呈现出优良的相关性 ,用各阶固有频率之和表示的总频与直链烷烃的加和型性质也呈现出优良的相关性 ,将两者组合后还能够反映直链烷烃的凝聚型性质的变化规律 .在此基础上建立了直链烷烃的物化性能与基频和总频之间的定量相关模型 .用该模型对直链烷烃的电离能、沸点、临界温度、临界压力、密度、粘度、标准生成焓、离子标准生成焓、常压热容、折光指数等 10种不同类型性质的实验数据进行回归分析 ,相关系数均大于 0 .999.