Nonlinear Dynamical Effects and Observations in Modeling and Simulating                 Damage Evolution in a Cantilevered Beam

Nataraju, Madhura; Adams, Douglas E.; Rigas, Elias J.

doi:10.1177/1475921705055250

Cited by 5 publications

(2 citation statements)

References 40 publications

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“…An efficient experimental approach was introduced by Hamey et al (2004) in which piezoelectric sensors were used to capture the curvature mode shapes for detecting the damage in a damaged carbon/epoxy composites beam. The low-order nonlinear normal forms were applied to a cantilever beam with a notch crack in Nataraju et al (2005), where the damages in the beam have been modeled as bifurcations in the stable equilibrium points.…”

Section: Introductionmentioning

confidence: 99%

On the dynamics of a beam with switching crack and damaged boundaries

AL-Shudeifat

Butcher

2011

Journal of Vibration and Control

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The local equivalent linear stiffness method (LELSM), which has previously been found to be efficient in predicting the modal behavior of nonlinear structural dynamic systems with cubic and dead-zone nonlinearities, is applied to a beam with a switching crack where the crack is modeled as a nonsmooth (clearance) nonlinearity. In addition, the LELSM is also applied for the boundary damage of the beam where the damage is modeled via smooth (cubic) nonlinearity, while a new technique for finding the global equivalent bilinear stiffness matrix (GEBSM) is introduced here to be applied to the systems with clearance nonlinearity or switching stiffness. As a result, the GEBSM of the system of concern is formulated based on the approximated analytical values of the bilinear frequencies of the system. For a system with mixed clearance and cubic nonlinearities, the GEBSM is found first for the clearance nonlinearity, and then the LELSM is subsequently applied to update the GEBSM for finding the global equivalent linear stiffness matrix (GELSM) of the system. It is found that the GEBSM and GELSM modes, for which no a priori simulation is required, closely approximate the corresponding proper orthogonal modes for either a vanishing clearance or a small nonvanishing clearance.

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Section: Introductionmentioning

confidence: 99%

On the dynamics of a beam with switching crack and damaged boundaries

AL-Shudeifat

Butcher

2011

Journal of Vibration and Control

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“…[26][27][28]. Furthermore, several aerospace and civil structures such as rotor blades and bridges could be modelled as cantilever beams.…”

Section: Experimental Setup With a Cantilever Beammentioning

confidence: 99%

Multi-Sensor Feature Extraction and Data Fusion Using ANFIS and 2D Wavelet Transform in Structural Health Monitoring

Escamilla-Ambrosio¹,

Li²,

ManuelRamírez-Cortés³

et al. 2017

Structural Health Monitoring - Measurement Methods and Practical Applications

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In this chapter, a novel feature extraction and data fusion approach for structural damage detection and localisation is presented. This approach combines adaptive network-based fuzzy inference systems (ANFIS) and two-dimensional wavelet transform (2D-WT) technologies. Simultaneous multi-sensor feature extraction and data fusion based on 2D-WT is carried out by forming a 2D multivariate signal, which is used to analyse the structure vibration response by measuring all sensors jointly. Energy values obtained from two-level db3 wavelet decomposition are arranged in a so-called energy percentage matrix (EPM), which is taken as an input for the ANFIS. The system is further trained by defining its output as the structural condition represented by a condition index. A set of output index patterns are defined depending on the level of damage assessment performed. The proposed method was tested through experiments using a cantilever beam structure. The testing results showed that the method is successful in detecting and localising damage by vibration analysis in structural health monitoring.

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Static Damage Phenomena and Models

Sundararaman¹

2008

Encyclopedia of Structural Health Monitoring

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This article provides an overview of static damage phenomena and the physical models utilized to identify damage using measured data. Static damage models provide an understanding of the underlying physics associated with damage, which is usually described in terms of boundary conditions, loading conditions, and material, geometric, electromagnetic, and thermodynamic properties. Examples that apply static damage models to examine changes due to damage in elastic waves in structural materials are discussed. Additionally, as a sample sensitivity analysis study, damage in metallic, orthotropic, and composite plates is modeled as variations in local geometry, stiffness, damping, and mass density using two‐dimensional and three‐dimensional wave propagation models based on the local interaction simulation approach (LISA).

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Nonlinear Dynamical Effects and Observations in Modeling and Simulating Damage Evolution in a Cantilevered Beam

Cited by 5 publications

References 40 publications

On the dynamics of a beam with switching crack and damaged boundaries

On the dynamics of a beam with switching crack and damaged boundaries

Multi-Sensor Feature Extraction and Data Fusion Using ANFIS and 2D Wavelet Transform in Structural Health Monitoring

Static Damage Phenomena and Models

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