Journal of Sound and Vibration最新文献_第5页

A model-free B-WIM scheme for simultaneously identifying vehicle axle load and spacing with transmissibility-like index 基于类传递性指标同时识别车辆轴重和间距的无模型B-WIM方案

IF 4.9 2区工程技术 Q1 ACOUSTICS

Journal of Sound and Vibration

Pub Date : 2026-01-03 DOI: 10.1016/j.jsv.2026.119637

Teng-Teng Hao , Wang-Ji Yan , Meng-Kai Niu , Ka-Veng Yuen , Costas Papadimitriou

Bridge Weigh-in-Motion (B-WIM) systems provide vital traffic data for bridge design, management, and maintenance, yet conventional approaches often rely on bridge influence lines that are notoriously challenging to be identified accurately. While some model-independent approaches have been proposed, they typically estimate only partial parameters like axle loads, lacking the capability to simultaneously determine axle spacings. To address these limitations, this study proposes a model-free B-WIM methodology for simultaneous identification of vehicle axle loads and spacings using an influence line-free transmissibility-like index. This index, defined as the ratio of frequency-domain responses at the same location for two distinct vehicles, is analytically proven to equal the ratio of their moving load functions in the frequency domain, thereby eliminating the need for influence line estimation. Given the response of a reference vehicle with known axle configuration, this property enables the simultaneous identification of both axle loads and spacings. A Bayesian inference scheme is further developed to integrate multiple measurements and accommodate uncertainties stemming from measurement noise and modeling errors. Moreover, analytical likelihood function, gradients, and posterior covariances are derived to support efficient optimization scheme. Ultimately, numerical simulations and experimental studies validate the method’s accuracy and robustness under varying scenarios, without requiring influence line estimation.

桥梁动态称重（B-WIM）系统为桥梁设计、管理和维护提供了重要的交通数据，但传统方法通常依赖于桥梁影响线，这些影响线难以准确识别。虽然已经提出了一些与模型无关的方法，但它们通常只能估计轴载荷等部分参数，缺乏同时确定轴间距的能力。为了解决这些限制，本研究提出了一种无模型B-WIM方法，用于同时识别车辆轴载荷和间距，使用无影响线传输率指数。该指标被定义为两辆不同车辆在同一位置的频域响应之比，通过解析证明等于它们在频域的移动载荷函数之比，从而消除了对影响线估计的需要。给定具有已知轴配置的参考车辆的响应，该属性可以同时识别轴载荷和间距。进一步开发了贝叶斯推理方案，以整合多个测量并适应由测量噪声和建模误差引起的不确定性。此外，导出了分析似然函数、梯度和后验协方差来支持有效的优化方案。最后，通过数值模拟和实验研究验证了该方法在不同场景下的准确性和鲁棒性，无需估计影响线。

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引用次数: 0

Dynamic performance investigation of squirrel-cage elastic support structure in high-speed rotor system of aeroengine 航空发动机高速转子系统鼠笼式弹性支撑结构动态性能研究

IF 4.9 2区工程技术 Q1 ACOUSTICS

Journal of Sound and Vibration

Pub Date : 2026-01-03 DOI: 10.1016/j.jsv.2025.119630

Xu-Yuan Song , Chen-Guang Wang , Chang-Xin Yu , Xu Hao , Qing-Kai Han

As a crucial supporting component, the dynamic behaviour of the squirrel-cage elastic support (SCES) structure is vital for determining the operational stability of high-speed rotor systems in aero engines. However, the SCES structure is often oversimplified as a discrete model with restricted degrees of freedom during the traditional modelling process, making it a significant challenge to capture the dynamic behaviours of the system accurately. To overcome this limitation, this literature proposes a detailed analytical dynamic model of the squirrel-cage elastic support structure by approximating it as a medium-thick cylindrical shell structure with multiple circumferential rectangular cutouts. Firstly, the SCES structure is decomposed into several substructures of open cylindrical panels, and the corresponding kinetic and potential energy expressions are derived via the first-order shear deformation theory. Then, a series of orthogonal displacement functions is constructed as the trial functions of substructures. Meanwhile, the penalty functions are applied to ensure the displacement coordination between the substructures. Subsequently, the dynamic equation of the SCES structure is derived via the Rayleigh-Ritz method. After validating the analytical modelling by finite element simulation and experimental investigation, several complex dynamic performances have been revealed, including the phenomenon of modal density, the evolution of degenerate modes in the SCES structure, and the behaviours under multi-point cyclic excitation. The results indicate that the proposed modelling method provides a theoretical basis for dynamic design optimisation and fault diagnosis of squirrel-cage elastic support structures in aircraft engine rotor systems.

鼠笼弹性支承结构作为航空发动机高速旋翼系统的关键支撑部件，其动力学特性对旋翼系统的运行稳定性至关重要。然而，在传统的建模过程中，SCES结构往往被过度简化为一个具有有限自由度的离散模型，这给准确捕捉系统的动态行为带来了重大挑战。为了克服这一局限性，本文提出了一个详细的鼠笼弹性支撑结构解析动力学模型，将其近似为具有多个周向矩形切口的中厚圆柱壳结构。首先，将SCES结构分解为若干开式圆柱板子结构，并利用一阶剪切变形理论推导出相应的动能和势能表达式；然后，构造一系列正交位移函数作为子结构的试函数。同时，采用罚函数来保证子结构之间的位移协调。随后，采用瑞利-里兹法推导了结构的动力方程。通过有限元仿真和试验研究验证了解析模型的正确性，揭示了结构的复杂动力特性，包括模态密度现象、简并模态演化以及多点循环激励下的性能。结果表明，所提出的建模方法为航空发动机转子系统鼠笼式弹性支撑结构的动态设计优化和故障诊断提供了理论依据。

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引用次数: 0

An experimental self-structuring type-3 fuzzy vibration control: H∞-based robustness and online dynamic modeling 基于H∞鲁棒性和在线动态建模的实验性自结构3型模糊振动控制

IF 4.9 2区工程技术 Q1 ACOUSTICS

Journal of Sound and Vibration

Pub Date : 2026-01-03 DOI: 10.1016/j.jsv.2025.119634

Chunwei Zhang , Tianpeng Li , Ardashir Mohammadzadeh , Hamid Taghavifar , Rathinasamy Sakthivel

This paper presents a solution to the limitations of traditional vibration control methods, which often depend on precise structural parameters and mathematical models, leading to poor performance under real-world uncertainties and nonlinearities. The study introduces an vibration control system based on adaptive Active Rotary Inertia Driver (ARID) systems. This system integrates three key components: fractional-order dynamic fuzzy modeling for online system identification, a self-structuring Type-3 Fuzzy Logic System (T3-FLS) with non-singleton fuzzification to handle sensor noise and uncertainties, and an adaptive compensator based on the H_∞ theorem to ensure robustness against disturbances and parameter variations. The T3-FLS employs a new self-structuring algorithm that autonomously optimizes rule databases, membership functions, and parameters in response to dynamic conditions, addressing a gap in the existing literature regarding self-structuring mechanisms for T3-FLSs in vibration control applications. Experimental/simulation validation demonstrates the superiority of the proposed system compared to conventional methods. In experiments/simulations, the proposed algorithm achieved a peak angle of 0.009/0.005 rad and an RMS of 91.5%/95.7%, showing significant improvements over conventional methods, which only achieved 0.7%/1.4% and 0.8% /2.3% under perturbed dynamics (see the video of implementation at https://youtu.be/OWS8Ums95sQ.

传统的振动控制方法往往依赖于精确的结构参数和数学模型，导致在现实世界的不确定性和非线性下性能不佳，本文提出了一种解决方法。介绍了一种基于自适应主动旋转惯量驱动（ARID）系统的振动控制系统。该系统集成了三个关键组件：用于在线系统辨识的分数阶动态模糊建模，具有非单态模糊化的自结构3型模糊逻辑系统（T3-FLS），用于处理传感器噪声和不确定性，以及基于H∞定理的自适应补偿器，以确保对干扰和参数变化的鲁棒性。T3-FLS采用了一种新的自结构算法，可以根据动态条件自主优化规则数据库、隶属函数和参数，解决了现有文献中关于T3-FLS在振动控制应用中的自结构机制的空白。实验/仿真验证表明，与传统方法相比，所提出的系统具有优越性。在实验/仿真中，该算法的峰值角为0.009/0.005 rad， RMS为91.5%/95.7%，与传统方法相比有了显著的改进，传统方法在摄动动态下仅能达到0.7%/1.4%和0.8% /2.3%（参见https://youtu.be/OWS8Ums95sQ的实现视频）。

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引用次数: 0

A novel approach for identifying system poles using multi-reference transmissibility functions based on frequency shifts 一种基于频移的多参考传递率函数识别系统极点的新方法

IF 4.9 2区工程技术 Q1 ACOUSTICS

Journal of Sound and Vibration

Pub Date : 2026-01-03 DOI: 10.1016/j.jsv.2026.119638

Reza Tarinejad, Farhad Amanzad

System pole identification using Operational Modal Analysis (OMA) methods is often subject to significant estimation errors. A key source of these inaccuracies is the presence of non-periodic frequency components in short-domain earthquake records, which amplify variance errors, especially in higher modes. Additionally, violations of Fast Fourier Transform (FFT) assumptions on discrete signals introduce bias errors across all structural modes. To overcome these limitations, this study introduces a novel method called Multi-Reference Transmissibility Complex Frequency (MTCF). This approach defines new transmissibility matrices in the frequency domain using the z-transform framework. By integrating both forward and backward frequency shifts into the transmissibility functions, MTCF effectively reduces variance errors, particularly in higher modes, while also minimizing bias across all modes. The method's performance is evaluated using a four-degree-of-freedom reinforced concrete frame subjected to three different earthquake records under varying loading conditions. Results show that natural frequencies and mode shapes and damping ratios of higher modes are identified with accuracy comparable to lower modes, eliminating the need to decompose frequency responses into single-frequency components for damping estimation. Unlike OMA-based techniques, where higher modes often remain undetected or exhibit larger errors, the MTCF method Mitigates spectral leakage and numerical dispersion. This enables accurate and robust identification of all modal parameters, regardless of the structure’s degrees of freedom or the complexity of external excitations.

使用运维模态分析（OMA）方法进行系统极点辨识时，往往存在较大的估计误差。这些不准确的一个关键来源是在短域地震记录中存在的非周期频率分量，它放大了方差误差，特别是在更高的模态中。此外，对离散信号的快速傅里叶变换（FFT）假设的违反会在所有结构模式中引入偏置误差。为了克服这些限制，本研究引入了一种称为多参考传输率复频率（MTCF）的新方法。该方法使用z变换框架在频域定义新的透射率矩阵。通过将前向和后向频移整合到透射率函数中，MTCF有效地减少了方差误差，特别是在更高的模式下，同时还最小化了所有模式的偏差。采用四自由度钢筋混凝土框架在不同荷载条件下承受三种不同地震记录，对该方法的性能进行了评估。结果表明，高阶模态的固有频率、模态振型和阻尼比的识别精度与低阶模态相当，无需将频率响应分解为单频分量进行阻尼估计。与基于oma的技术不同，基于oma的技术通常无法检测到更高的模式或显示更大的误差，MTCF方法减轻了频谱泄漏和数值色散。这使得所有模态参数的准确和稳健的识别，而不管结构的自由度或外部激励的复杂性。

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引用次数: 0

Negative stiffness friction damper with viscoelastic connection for cable vibration control 用于电缆振动控制的粘弹性连接负刚度摩擦阻尼器

IF 4.9 2区工程技术 Q1 ACOUSTICS

Journal of Sound and Vibration

Pub Date : 2026-01-03 DOI: 10.1016/j.jsv.2025.119632

Lin Chen , Jiaxu Tan , Nahimul Nabil Muhit , Limin Sun

Cables in cable-supported bridges are susceptible to multimode vibrations under environmental excitations such as wind and rain. Mechanical dampers, commonly installed near the lower end of the cable, are widely used for vibration control. However, as cable length increases, these dampers face challenges in meeting design requirements due to the relatively shorter installation distance and the growing number of target vibration modes. To address this issue, this study proposes a novel negative stiffness friction damper (NSFD) for cable vibration control. The NSFD employs a precompressed spring to generate both the negative stiffness effect and the normal force on the friction interface. A lever arm is introduced to amplify both the negative stiffness and the friction force. Furthermore, high-damping rubber elements are integrated as the viscoelastic connection to provide damping during small-amplitude vibrations, when the friction interface does not engage. The linearized negative stiffness coefficient of the NSFD is derived, and its damping performance is evaluated analytically using an energy equivalence approach. A numerical model of the cable-NSFD system is developed, incorporating friction behavior described by the LuGre model, to further investigate its vibration reduction effectiveness. Numerical analysis results demonstrate that the NSFD significantly enhances the damping performance compared to traditional friction dampers and achieves comparable performance to that of an optimal viscous damper with negative stiffness. Moreover, the NSFD offers improved stability due to static friction and delivers nearly frequency-independent control across multiple vibration modes.

在风、雨等环境激励下，索桥中的电缆易受多模态振动的影响。机械阻尼器通常安装在电缆下端附近，广泛用于振动控制。然而，随着电缆长度的增加，由于相对较短的安装距离和越来越多的目标振动模式，这些阻尼器在满足设计要求方面面临挑战。为了解决这一问题，本研究提出了一种新型的负刚度摩擦阻尼器（NSFD）用于电缆振动控制。NSFD采用预压缩弹簧在摩擦界面上产生负刚度效应和法向力。引入杠杆臂来放大负刚度和摩擦力。此外，当摩擦界面不啮合时，高阻尼橡胶元件作为粘弹性连接集成在一起，在小振幅振动时提供阻尼。推导了非NSFD的线性化负刚度系数，并采用能量等效法对其阻尼性能进行了解析评价。建立了拉索-非nsfd系统的数值模型，结合LuGre模型描述的摩擦行为，进一步研究了其减振效果。数值分析结果表明，与传统的摩擦阻尼器相比，NSFD显著提高了阻尼性能，并达到了与负刚度最优粘性阻尼器相当的性能。此外，由于静摩擦，NSFD提供了更好的稳定性，并且在多种振动模式下提供了几乎与频率无关的控制。

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引用次数: 0

A symplectic numerical power flow framework based on wave finite-element method for assembled structural systems 基于波动有限元法的组合结构体系的辛数值潮流框架

IF 4.9 2区工程技术 Q1 ACOUSTICS

Journal of Sound and Vibration

Pub Date : 2026-01-02 DOI: 10.1016/j.jsv.2025.119627

Wenjun Wang , Yu Fan , Jiahui Shi , Qing Wu , Anlue Li , Chuanzhen Wang , Daniele Botto

Identifying the propagation paths of dominant wave modes in complex assembled structure is critical for implementing wave-based vibration and noise control strategies, such as phononic band gaps. This paper presents a symplectic numerical framework to compute the wave-mode power flow in engineering assembled structures based on wave finite element method (WFEM). The power orthogonality among wave modes is explicitly formulated through the symplectic orthogonality (SO) and its adjoint form (SAO), and this formulation is further extended to the Zhong-Williams and λ(φ) symplectic schemes. The generalized symplectic adjoint orthogonality (GSAO) and φSAO are subsequently proposed, providing a physically consistent basis for modal diagonalization and coherent wave propagation within the generalized symplectic eigenspace. These developments enable direct computation of the forced response and power flow entirely within the symplectic space, without reverting to the wave space. Six power-flow formulations are systematically compared and shown to yield consistent results on both beam and cylindrical shell structures. An electric motor housing is used as a case study, in which the proposed approach establishes a wave-mode power flow network. It is noted that the power-flow formulation relies on symplectic orthogonality defined for conservative WFEM systems and therefore cannot be directly applied to non-Hermitian systems.

识别复杂装配结构中主波模式的传播路径对于实现基于波的振动和噪声控制策略（如声子带隙）至关重要。本文提出了一种基于波动有限元法计算工程组合结构波浪型功率流的辛数值框架。通过辛正交性（SO）及其伴随形式（SAO）明确地表述了波模间的幂正交性，并将此公式进一步推广到Zhong-Williams和λ(φ)辛格式。随后提出了广义辛伴正交（GSAO）和φSAO，为模态对角化和波在广义辛特征空间内的相干传播提供了物理上一致的基础。这些发展使得完全在辛空间内直接计算强迫响应和功率流，而不需要返回到波空间。系统地比较了六种功率流公式，并表明在梁和圆柱壳结构上产生一致的结果。以电机外壳为例，该方法建立了一个波浪型潮流网络。值得注意的是，功率流公式依赖于为保守WFEM系统定义的辛正交性，因此不能直接应用于非厄米系统。

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引用次数: 0

An adaptive method for three-dimensional vibration suppression of a beam with time-varying added mass 具有时变附加质量的梁的三维振动自适应抑制方法

IF 4.9 2区工程技术 Q1 ACOUSTICS

Journal of Sound and Vibration

Pub Date : 2026-01-01 DOI: 10.1016/j.jsv.2025.119633

Wei Chu , Yan Qing Wang

Beams with time-varying added mass are prone to vibrations due to external disturbances, whose vibration suppression is challenging because of the time-varying characteristics of the system. In this paper, an adaptive method for three-dimensional (3-D) vibration mitigation of beams with time-varying added mass is proposed. First, the dynamic equations of the beam with time-varying added mass incorporating geometric nonlinearity are derived using Lagrange’s equations. Then, the proposed method is applied to the motion of the flywheel assembly installed on the beam. Theoretical results under free and forced vibration confirm the feasibility of the proposed method for 3-D vibration mitigation of the beam with added mass exhibiting different time-varying characteristics, even in the presence of nonlinear vibrations. Moreover, experimental results validate the effectiveness of the proposed method. Compared to the existing methods, the proposed method does not require prior knowledge of the parameters of the beam with time-varying added mass. It is not constrained by the bounds of parameter variations or the forms of these variations. Thus, the proposed method offers good adaptability and strong robustness for 3-D vibration suppression of beams with time-varying added mass.

具有时变附加质量的梁容易受到外界干扰而产生振动，由于系统的时变特性，对其振动抑制具有挑战性。本文提出了一种具有时变附加质量的梁的三维自适应减振方法。首先，利用拉格朗日方程推导了含几何非线性的时变附加质量梁的动力学方程。然后，将该方法应用于安装在梁上的飞轮组件的运动。在自由振动和强迫振动下的理论结果证实了所提出的方法对于具有不同时变特性的附加质量梁的三维振动抑制的可行性，即使存在非线性振动。实验结果验证了该方法的有效性。与现有方法相比，该方法不需要事先知道随时间变化的附加质量梁的参数。它不受参数变化的边界或这些变化的形式的约束。因此，该方法对时变附加质量梁的三维振动抑制具有较好的适应性和较强的鲁棒性。

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引用次数: 0

A Harmonic Balance Method with contact condensation for the frequency-domain computation of self-sustained nonlinear vibration related to railway curve squeal 含接触凝聚的谐波平衡法在铁路曲线噪声自持续非线性振动频域计算中的应用

IF 4.9 2区工程技术 Q1 ACOUSTICS

Journal of Sound and Vibration

Pub Date : 2025-12-31 DOI: 10.1016/j.jsv.2025.119628

J. Arango Montoya , O. Chiello , J.-J. Sinou , R. Tufano

Railway curve squeal is a highly nonlinear phenomenon involving self-sustained vibration of the wheel/rail system and commonly attributed to friction-related instability. While the occurrence of the noise is often studied through a stability analysis based on the linearization of the contact forces, its nonlinear nature requires methods such as time-integration of the dynamic equations of the system in order to determine the amplitude of the oscillations and hence, the radiated sound levels. This kind of methods are computationally expensive. Furthermore, they are not well adapted for the description of the infinite track behaviour, which represents a major challenge. This paper proposes an approach based on the Harmonic Balance Method (HBM), which aims to overcome these difficulties by assuming multi-harmonic periodic solutions and using a frequency-domain representation of the wheel and rail via their receptances at the contact point. The proposed method, which is directly formulated in the frequency-domain, is applied to a curve squeal model where the wheel is modelled via Finite Elements and the track analytically. Results corresponding to the two main instability mechanisms (falling friction and geometrical instability) are presented. The results are in good agreement with time integration and the computational cost is drastically reduced.

铁路弯道尖叫是一种高度非线性的现象，涉及轮轨系统的自持续振动，通常归因于与摩擦有关的不稳定性。虽然通常通过基于接触力线性化的稳定性分析来研究噪声的发生，但其非线性性质需要诸如系统动力学方程的时间积分等方法来确定振荡的幅度，从而确定辐射声级。这种方法在计算上很昂贵。此外，它们不能很好地适应无限轨迹行为的描述，这是一个主要的挑战。本文提出了一种基于谐波平衡法（HBM）的方法，该方法旨在通过假设多谐波周期解和使用轮轨在接触点通过其接收的频域表示来克服这些困难。该方法直接在频域表示，并应用于通过有限元和轨迹解析建模的车轮曲线尖叫模型。给出了两种主要失稳机制（下降摩擦和几何失稳）的对应结果。计算结果与时间积分结果吻合较好，大大降低了计算成本。

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引用次数: 0

Data-driven discovery of weakly nonlinear acoustic wave equations 弱非线性声波方程的数据驱动发现

IF 4.9 2区工程技术 Q1 ACOUSTICS

Journal of Sound and Vibration

Pub Date : 2025-12-30 DOI: 10.1016/j.jsv.2025.119625

Viktor Hruška , Aneta Furmanová , Tereza Filipská , Jan Valášek

In this article, data-driven methods for discovering governing equations are brought to the field of finite-amplitude acoustics, and the associated challenges are examined. One significant difficulty is the numerical evaluation of derivatives in the vicinity of shocks, which is solved by employing a weak formulation of the partial differential equations. For benchmarking, the classical model equations in the weakly nonlinear regime are recovered from data: the Westervelt equation for purely progressive waves and the Kuznetsov equation for interfering waves. The results further demonstrate that the approach is applicable to partial differential equations involving a second time derivative, as well as to problems in more than one spatial dimension.

在本文中，用于发现控制方程的数据驱动方法被带到有限振幅声学领域，并研究了相关的挑战。一个重要的困难是在冲击附近导数的数值计算，这是通过采用偏微分方程的弱公式来解决的。为了进行基准测试，从数据中恢复了弱非线性状态下的经典模型方程：纯渐进波的Westervelt方程和干涉波的Kuznetsov方程。结果进一步表明，该方法适用于包含二阶导数的偏微分方程，也适用于多个空间维度的问题。

引用次数: 0

Analytical local sensitivity analysis of frequency response function and transmissibility function with a view towards Bayesian damage detection 基于贝叶斯损伤检测的频响函数和传递函数的局部灵敏度分析

IF 4.9 2区工程技术 Q1 ACOUSTICS

Journal of Sound and Vibration

Pub Date : 2025-12-28 DOI: 10.1016/j.jsv.2025.119629

Jian-Min Sun , Qian Sun , Wang-Ji Yan , Dan Li , Yu-Song Liu

Frequency response functions (FRFs) and transmissibility functions (TFs) serve as key tools in vibration-based damage detection, eliminating the necessity for additional modal parameter identification. Despite their widespread application, analytical comparisons between FRF-based and TF-based indicators for damage detection and localization remain scarce. This research provides a comprehensive evaluation of the utility of FRF and TF data across frequency bands for damage detection, localization, and actuator placement optimization. Based on FRF sensitivity formulations in both frequency and modal domains, two closed-form expressions for TF sensitivity are derived using a direct algebraic method, with one involving derivatives of physical parameters (i.e., mass, stiffness, and damping) and the other relying on eigen-solution sensitivities. To address the ill-posedness and uncertainty quantification in damage identification, damage detection schemes are established by solving sensitivity-based damage equations within a Bayesian regularization framework, enabling reliable identification of both single and multiple damage scenarios. Numerical studies confirm the accuracy of the formulas of sensitivity analysis and the Bayesian damage detection method. A comparative analysis of the damage sensitivities of FRF and TF data is also conducted with respect to damage location, excitation position, and frequency range.

频率响应函数（frf）和传递函数（TFs）是基于振动的损伤检测的关键工具，消除了额外模态参数识别的必要性。尽管它们被广泛应用，但基于频响函数和基于tf的损伤检测和定位指标之间的分析比较仍然很少。该研究对跨频段的频响和频响数据在损伤检测、定位和致动器放置优化方面的效用进行了全面评估。基于频域和模态域的频响灵敏度公式，采用直接代数方法推导了频响灵敏度的两个封闭表达式，其中一个涉及物理参数（即质量、刚度和阻尼）的导数，另一个依赖于本征解灵敏度。为了解决损伤识别中的病态性和不确定性量化问题，在贝叶斯正则化框架下，通过求解基于灵敏度的损伤方程，建立了损伤检测方案，实现了对单个和多个损伤场景的可靠识别。数值研究证实了灵敏度分析公式和贝叶斯损伤检测方法的准确性。对比分析了FRF和TF数据在损伤位置、激励位置和频率范围等方面的损伤灵敏度。

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引用次数: 0