Low frequency impact sound transmission in dwellings through homogeneous concrete floors and floating floors

An experimentally validated analytical model has been developed in order to investigate the effect on impact sound transmission at low frequencies of location of the impact, type of floor, edge conditions, floor and room dimensions, position of the receiver and room absorption. The model was developed in order to allow rapid repeated calculations necessary for a parametric survey, described in a companion paper. The analytical model uses natural mode analysis to predict the sound field generated in rectangular rooms by point sound sources and the point excitation of homogeneous rectangular plates with different edge conditions. A floor-room model of the sound field generated in a room by a vibrating floor also has been derived. Laboratory and in situ measurements confirm that the models can be used to estimate impact sound transmission at low frequencies. The approach applies to homogeneous simply supported base plates of uniform thickness with homogenous floating floors, which again were experimentally validated in the laboratory and in situ.     

Insertion loss prediction of floating floors used in ship cabins

In this paper, vibration reduction in ship cabins by using floating floor is studied. Two theoretical models are developed and predicted insertion losses of floating floors are compared to experimental results, where measurements are done in the mock-up built for simulating typical ship cabins. The floating floor consists of upper board and mineral wool, which is in turn laid on the deck plate. The first model (M-S-Plate Model) is that upper plate and mineral wool are assumed as a one-dimensional mass-spring system lying on the simply supported elastic floor. The second model (Wave Model) is that mineral wool is assumed as elastic medium, in which longitudinal wave propagates. The comparisons show that M-S-Plate model is in good agreement with experimental results, while mass-spring model on the rigid floor behaves very poorly in the low frequency ranges, particularly near the natural frequency associated with mass-spring system. On the other hand, the wave model significantly underestimates the insertion loss. It is found that including elastic behavior of the deck plate is essential in improving accuracy of the insertion loss prediction for low frequency range below 100-200 Hz.     

Vibration isolation using extreme geometric nonlinearity

A highly deformed, slender beam (or strip), attached to a vertically oscillating base, is used in a vibration isolation application to reduce the motion of a supported mass. The isolator is a thin strip that is bent so that the two ends are clamped together, forming a loop. The clamped ends are attached to an excitation source and the supported system is attached at the loop midpoint directly above the base. The strip is modeled as an elastica, and the resulting nonlinear boundary value problem is solved numerically using a shooting method. First the equilibrium shapes of the loop with varying static loads and lengths are studied. The analysis reveals a large degree of stiffness tunability; the stiffness is dependent on the geometric configuration, which itself is determined by the supported mass, loop length, and loop self-weight. Free vibration frequencies and mode shapes are also found. Finally, the case of forced vibration is studied, and the displacement transmissibility over a large range of forcing frequencies is determined for varying parameter values. Experiments using polycarbonate strips are conducted to verify equilibrium and dynamic behavior.     

Vibration isolation via a scissor-like structured platform

More and more attentions are attracted to the analysis and design of nonlinear vibration control/isolation systems for better isolation performance. In this study, an isolation platform with n-layer scissor-like truss structure is investigated to explore novel design of passive/semi-active/active vibration control/isolation systems and to exploit potential nonlinear benefits in vibration suppression. Due to the special scissor-like structure, the dynamic response of the platform has inherent nonlinearities both in equivalent damping and stiffness characteristics (although only linear components are applied), and demonstrates good loading capacity and excellent equilibrium stability. With the mathematical modeling and analysis of the equivalent stiffness and damping of the system, it is shown that: (a) the structural nonlinearity in the system is very helpful in vibration isolation, (b) both equivalent stiffness and damping characteristics are nonlinear and could be designed/adjusted to a desired nonlinearity by tuning structural parameters, and (c) superior vibration isolation performances (e.g., quasi-zero stiffness characteristics etc.) can be achieved with different structural parameters. This scissor-like truss structure can potentially be employed in different engineering practices for much better vibration isolation or control.     

Dynamic effects of delayed feedback control on nonlinear vibration isolation floating raft systems

Vibration suppression and chaotification are the key issues in the study of the concealment capability of underwater vehicles. Time delay control is superior in chaotification, but the involved dynamics are sensitive and complex. This paper presents an analysis to obtain an analytical solution of the nonlinear delay differential equations and determine the effect of delay control on the vibration amplitude. Besides, by checking the stability of the analytical solution, dependence of chaotification upon the time delay control parameters is examined. Based on the theoretical derivation, the effects of different configurations of system parameters and delay control parameters on vibration amplitude are demonstrated in numerical simulation. What?s more, the outcome of our results shows the significant role the time delay control plays in vibration suppression and chaotification. According to the analytical solution and stability analysis, not only can the appropriate delay be found to reduce the vibration amplitude, but also the suitable delay control setting can be selected for chaotification.     

Vibration isolation in the presence of Coulomb friction

Transmissibility curves for a Coulomb-damped flexible mounting are presented for both rigidly and elastically coupled damping. The closed solutions easily obtainable for the slipping and sticking phases of the motion are used in the method, and no conceptual approximation is involved. The transmissibility curves are compared with previously published approximations based on linearization of the damping. It is shown that the approximate method seriously underestimates the heights of significant resonant peaks and gives optimum friction values somewhat in error, but gives reasonable approximations to the transmissibilities at the high frequencies corresponding to effective isolation.     

连续隔振浮筏系统功率流研究

建立了多扰源连续隔振浮筏系统的动力学模型,并考虑基础及浮筏弹性,推导了此类复杂耦合系统的动态特性方程及功率流表达式,从能量的观点揭示了连续隔振浮筏系统的隔振机理,并编制了相应计算软件,进行了数值计算及理论分析,揭示了连续隔振系统结构参数对其隔振性能的影响。     

The effects of floating slab bending resonances on the vibration isolation of rail viaduct

This paper compared the performance of several isolation designs to control vibration transmissions from concrete rail viaducts. The isolation systems analysed includes medium- and short-length floating slabs, and floating ladders. The vibration was measured in Japan, Korea and Hong Kong. The study aimed to assess the effects of bending resonances of the floating slab systems. Simple formulae of estimating the significant bending resonance frequency and support passage frequency of a floating slab system are proposed. The resonance peaks obtained in site measurement are found to be in agreement with the calculation results. The results show that other than the vertical rigid body resonances for the isolation systems, the bending resonances of slabs have significant effects on vibration isolation performance. In particular, bending resonance frequencies should not coincide with the vertical isolator resonance and support passage frequency. According to the in-situ measurement results, a mini-type concrete floating slab can reduce the vibration level by more than 30 dB in the frequency range of 63-200 Hz. This should be achieved by designing the first bending resonances of the floating slab to be out of the dominant frequency range of concrete rail viaduct vibration.     

Theoretical design and experimental verification of a tunable floating vibration isolation system

A fluid-type floating vibration isolation system was developed based on anti-resonance mechanism. The mathematical model was derived for theoretical analysis. The system enables completely isolate vibration at any specific frequency, when the frequency of anti-resonance of the floating vibration isolation system is adjusted to the vibration frequency by tuning the added mass of flowing fluid. Since the approach only alters the inertial force of added mass rather than changing the entire system stiffness, the robustness of the system’s static stability remains during a tuning process, and the system can perform vibration isolation superbly at very low frequencies. A prototype of fluid-type floating vibration isolation system was designed, built and tested to validate the mathematical model. The experimental results illustrated a good agreement with the theoretical analysis.     

Stability and chaotification of vibration isolation floating raft systems with time-delayed feedback control

This paper presents a systematic study on the stability of a two-dimensional vibration isolation floating raft system with a time-delayed feedback control. Based on the generalized Sturm criterion, the critical control gain for the delay-independent stability region and critical time delays for the stability switches are derived. The critical conditions can provide a theoretical guidance of chaotification design for line spectra reduction. Numerical simulations verify the correctness of the approach. Bifurcation analyses reveal that chaotification is more likely to occur in unstable region defined by these critical conditions, and the stiffness of the floating raft and mass ratio are the sensitive parameters to reduce critical control gain.     

大型液冷机组的振动测试与减振设计

针对大型液冷机组工作时产生的振动对设备和人员健康可能产生的潜在危害,对某300k W制冷量的液冷机组进行了振动测试,并根据测试结果和机组模态仿真情况,对机组进行了被动减振设计。减振后的测试结果表明,经过减振处理可有效降低工作时机组到安装基础的振动传递率,并满足相关标准要求。     

Vibration isolation of unbalanced machinery using an adaptive-passive magnetoelastic suspension

The problem of unbalanced machinery isolation is tackled in this paper. The proposed method incorporates a magnetoelastic suspension which can be adapted depending on the rotational frequency and is built with two main parts: a magnetoelastic rod and a magnetizing solenoid. The properties of the system make it possible to use one configuration of the suspension (demagnetized state of the rod) over a bandwidth range and another configuration (saturated state of the rod) over the remaining bandwidth range. In addition, three different magnetoelastic materials were tested and the results show significant improvements with respect to completely passive configurations. A theoretical model is also explored in order to make comparisons with the experimental results.     

Power flow analysis for a floating sandwich raft isolation system using a higher-order theory

A higher-order sandwich theory is implemented in conjunction with an equivalent mobility-based power flow progressive method to determine power flow for a sandwich configured floating raft vibration isolation system. The power spectrum changes in whole frequency range effectively when core materials’ properties change. It is also shown that the loss factors of the sandwich configured floating raft influence the power flow transmitted to the foundation effectively in the medium- to high-frequency range and that the resonant peak cannot be avoided by increasing damping only in high-frequency ranges which is not found in floating raft isolation systems with isotropic beams.     

多源激励下双层隔振浮筏系统的线谱混沌化

采用混沌化技术可以重构水下航行器的水声线谱特征,改善隐声性能.基于这一特殊应用背景,研究了多源激励下双层隔振浮筏系统的非线性时延反馈混沌化问题.在二维简化浮筏系统模型的基础上,完整地呈现了非线性时延反馈控制的线谱混沌化方法,为隔振浮筏的线谱混沌化设计提供了标准流程.仿真结果表明了该方法的可行性,探讨了多源激励条件下控制增益、时延和反馈频率等控制参数对系统混沌化效果的影响,并与单源激励进行了对比分析.     

船舶机械磁悬浮气囊混合隔振技术

有源无源混合隔振是控制船舶低频线谱噪声的重要技术,但工程应用的实例还非常少见。在磁悬浮-气囊混合隔振理论和原理样机研究的基础上,针对船用机械低频线谱的隔振需求,进一步突破了体积小、输出力大、功耗低、频响平直、波形失真度低等磁悬浮作动器工程化设计技术;解决了混合隔振器的稳定性和冲击、摇摆适应性等技术难题;研究了工程实用的控制算法,采用非线性逆模型补偿使控制系统线性化,并提出了窄带Fx-Newton时域算法,可在机械设备运行时的多线谱、多通道耦合、线谱振幅非稳态等情况下实现快速稳定控制;研制了船用200 kW柴发机组混合隔振装置,实验结果表明该技术具有优良的宽频隔振效果和低频线谱控制能力,性能可满足工程实用要求。     

船舶机械磁悬浮气囊混合隔振技术

有源无源混合隔振是控制船舶低频线谱噪声的重要技术,但工程应用的实例还非常少见。在磁悬浮-气囊混合隔振理论和原理样机研究的基础上,针对船用机械低频线谱的隔振需求,进一步突破了体积小、输出力大、功耗低、频响平直、波形失真度低等磁悬浮作动器工程化设计技术;解决了混合隔振器的稳定性和冲击、摇摆适应性等技术难题;研究了工程实用的控制算法,采用非线性逆模型补偿使控制系统线性化,并提出了窄带Fx-Newton时域算法,可在机械设备运行时的多线谱、多通道耦合、线谱振幅非稳态等情况下实现快速稳定控制;研制了船用200 kW柴发机组混合隔振装置,实验结果表明该技术具有优良的宽频隔振效果和低频线谱控制能力,性能可满足工程实用要求。     

Measurement of mobility and damping of floors

Point mobility and damping (loss factor) were measured for different types of wooden and concrete floors in occupied buildings. A vertically applied excitation force was used. Various types of woodworking machines and workshop equipment were present during the tests in order to give a practical measure of floor damping. For comparison, the characteristics of a free concrete slab with point supports at each corner, a newly constructed unfurnished office building, and an experimental floating floor were also measured. Measurements were made in three frequency bands in the range from 5 to 1600 Hz. For concrete floors maximum point mobility was typically in the region 10^?4–10^?7 m/N s, and for wooden floors, typically 10^?2–10^?4 m/N s. Loss factors were typically in the region 0.01–0.6, depending on floor construction and frequency.     

Stochastic model for market stocks with floors

We present a model to describe the stochastic evolution of stocks that show a strong resistance at some level and generalize to this situation the evolution based upon geometric Brownian motion. If volatility and drift are related in a certain way we show that our model can be integrated in an exact way. The related problem of how to prize general securities that pay dividends at a continuous rate and earn a terminal payoff at maturity T is solved via the martingale probability approach.