The virtual distortion method—a versatile reanalysis tool for structures and systems

Kołakowski, Przemysław; Wikło, Marcin; Holnicki‐Szulc, Jan

doi:10.1007/s00158-007-0158-7

Cited by 52 publications

(40 citation statements)

References 40 publications

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“…However, the methodology can be straightforwardly extended to include other damage patterns like breathing cracks (Zhang et al 2010) and mass-related modifications as well as plastic yielding of the structural elements (Holnicki-Szulc 2008; Kołakowski et al 2008;Jankowski 2009), provided the assumption of small deformations is satisfied.…”

Section: Modeling Of Damagementioning

confidence: 99%

Simultaneous identification of moving masses and structural damage

Zhang

Jankowski

Duan

2010

Struct Multidisc Optim

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A method for simultaneous identification of moving masses and damages of the supporting structure from measured responses is presented. The interaction forces between the masses and the structure are used as excitation. Masses and damage extents are used as the optimization variables; compared to the approaches based on identification of the interaction forces, it allows ill-conditioning to be avoided and decreases the number of required sensors. The virtual distortion method is used; the damaged structure is modeled by the intact structure subjected to responsecoupled virtual distortions and moving forces. These are related to the optimization variables via a linear system, which allows the optimization variables of both kinds to be treated in a unified way. A moving dynamic influence matrix is introduced to reduce the numerical costs. The adjoint variable method is used for fast sensitivity analysis. A numerical experiment of a three-span beam with 10% rms measurement error and three types of model errors is presented.This article is a substantially extended and revised version of a paper presented at the WCSMO-8 in Lisbon in 2009.

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Section: Modeling Of Damagementioning

confidence: 99%

Simultaneous identification of moving masses and structural damage

Zhang

Jankowski

Duan

2010

Struct Multidisc Optim

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“…The first formulation assumed only stiffness degradation as a damage modelling parameter. The extension of the VDM remodelling approach, including mass modifications in the time domain, was described in [13], in which a review of all VDM applications to date can be found.…”

Section: General Characteristic Of Vdmmentioning

confidence: 99%

“…An overview of VDM applications with short characteristics of other reanlysis methods, e.g. Combined Approximations [12], can be found in [13]. The distinctive features of the VDM are:…”

Section: Introductionmentioning

confidence: 99%

Damage identification in skeletal structures using the virtual distortion method in frequency domain

Świercz

Kołakowski

Holnicki‐Szulc

2008

Mechanical Systems and Signal Processing

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Abstract. The paper is a continuation of research on the application of a structural reanalysis method -the Virtual Distortion Method -to Structural Health Monitoring. The first approach, formulated previously in the time domain, suffered from a considerable numerical cost. In order to reduce it, this paper presents an alternative approach, formulated in the frequency domain thanks to the assumption of using harmonic excitation (quasi-static problem). The hardware devices supposed to collect structural responses are piezoelectric patch sensors. The software tool for damage identification solves a nonlinear least squares optimization problem by employing analytically derived sensitivities. Strains are the analysed quantities, contributing to the objective function. Considerations are restricted to skeletal structures and a simplified dynamic problem with no damping. Effectiveness of the frequency-domain identification is demonstrated in numerical examples. Experimental verification is envisaged.

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“…e virtual distortion method (VDM) has been extensively developed and proved to be a versatile reanalysis tool in various applications, including structures and truss-like systems. Kolakowski et al [13] demonstrated the capabilities of the VDM both in statics and dynamics. Liu et al [14] provided a superelement-based VDM to improve the efficiency of the FEM updating of large-scaled bridges by using static information.…”

Section: Introductionmentioning

confidence: 99%

Reanalysis of Modified Structures by Adding or Removing Substructures

Kim¹,

Eun²

2018

Advances in Civil Engineering

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is study considers structural reanalysis owing to the modification of structural elements including (1) addition of substructures, (2) removal of substructures, and (3) changes in design variables. Coupling and decoupling reanalysis methods proposed in the study are performed by using the concept of compatibility conditions at interface nodes between the substructures or between the original structure and the substructures. Subsequently, a generalized inverse method to describe constrained responses is modified to obtain the reanalysis responses. In this study, constrained equilibrium equations are modified to consider a reanalysis of a structure with the addition and removal of statically stable or unstable substructures. e proposed reanalysis method is examined by using five examples of handling coupling and decoupling reanalysis of a truss structure.

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The virtual distortion method—a versatile reanalysis tool for structures and systems

Cited by 52 publications

References 40 publications

Simultaneous identification of moving masses and structural damage

Simultaneous identification of moving masses and structural damage

Damage identification in skeletal structures using the virtual distortion method in frequency domain

Reanalysis of Modified Structures by Adding or Removing Substructures

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