Nonlinear modal models for sonic fatigue response prediction: a comparison of methods

Hollkamp, Joseph J.; Gordon, Robert W.; Spottswood, S. Michael

doi:10.1016/j.jsv.2004.08.036

Cited by 156 publications

(75 citation statements)

References 5 publications

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“…Indeed, the displacement fields of these linear modes for shell-like structures are primarily transverse/normal to the structure and thus do not capture accurately the in-plane/tangential displacements that take place when the deformations are no longer infinitesimal. For example, if the structure is completely clamped, transverse deformations imply a stretching (referred to as the membrane stretching, see [1,3,6] for discussion) of the structure. For cantilevered structures, this effect is reflected by a shortening of the domain occupied by the structure in the undeformed configuration.…”

Section: Basis Selectionmentioning

confidence: 99%

“…Notwithstanding the above difficulties, the ROM capabilities have progressed from applications to flat structures (see [2][3][4][5][6][7][8][9]), to moderately large motions of curved structures (see [10][11][12][13][14]). Further, the coupling of these nonlinear structural reduced order models with aerodynamics, either full or reduced order model has also been successfully demonstrated in [15][16][17].…”

Section: Introductionmentioning

confidence: 99%

“…A similar coupling but of the structural dynamics and thermal aspects, the two in reduced order model format, has also been proposed and validated in [18][19][20][21]. In addition, validation studies with experiments have been carried out for different types of panels [3,[23][24]. The introduction of uncertainty in the reduced order model has finally been formulated and implemented [25,26].…”

Section: Introductionmentioning

confidence: 99%

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Prediction of displacement and stress fields of a notched panel with geometric nonlinearity by reduced order modeling

Perez

Wang

Mignolet

2014

Journal of Sound and Vibration

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The focus of this investigation is on a first assessment of the predictive capabilities of nonlinear geometric reduced order models for the prediction of the large displacement and stress fields of panels with localized geometric defects, the case of a notch serving to exemplify the analysis. It is first demonstrated that the reduced order model of the notched panel does indeed provide a close match of the displacement and stress fields obtained from full finite element analyses for moderately large static and dynamic responses (peak displacement of 2 and 4 thicknesses). As might be expected, the reduced order model of the virgin panel would also yield a close approximation of the displacement field but not of the stress one. These observations then lead to two "enrichment" techniques seeking to superpose the notch effects on the virgin panel stress field so that a reduced order model of the latter can be used. A very good prediction of the full finite element stresses, for both static and dynamic analyses, is achieved with both enrichments.

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Section: Basis Selectionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Prediction of displacement and stress fields of a notched panel with geometric nonlinearity by reduced order modeling

Perez

Wang

Mignolet

2014

Journal of Sound and Vibration

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“…Reduced-order modeling has been shown to be a viable alternative for a range of loading and response conditions. [1][2][3][4][5][6][7][8] For a typical aerospace structure having 1 Senior Research Engineer, Structural Acoustics Branch, Associate Fellow AIAA. 2 Senior Structural Engineer, Senior Member AIAA.…”

Section: Introductionmentioning

confidence: 99%

“…Note that the nonlinear modal reduction used by the authors does not statically condense in-plane DoFs. 3 Therefore, a technique similar to the current approach, 10 but which identifies only transverse LNMs, would generate only part of the required basis.…”

mentioning

confidence: 99%

Nonlinear Reduced-Order Simulation Using an Experimentally Guided Modal Basis

Rizzi¹,

Przekop²

2012

53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference

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Detection of fatigue damage precursor using a nonlinear vibration approach
Habtour
¹
,
Cole
²
,
Riddick
³

et al. 2016
Struct. Control Health Monit.
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31
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SUMMARYA nonlinear dynamic methodology is developed for detecting and estimating fatigue damage precursor in isotropic metal structures, prior to fatigue crack initiation, based on measurement of changes in the structure nonlinear response to harmonic base excitation. As an example, a damage precursor feature was extracted for cantilever beams by quantifying the reduction in the nonlinear stiffness because of localized microscopic material softening. The nonlinear dynamic analytical model parametrically tracks changes in the nonlinear structural stiffening as a function of the structural response and the loading cycles. Experimental results are obtained by exciting the base of cantilever beams at various amplitude levels. At high response amplitudes, the beams experience three competing simultaneous nonlinear dynamic mechanisms: (i) stiffening because of high response amplitude at the fundamental mode; (ii) softening because of inertial forces; and (iii) softening because of localized microscopic material damage caused by cyclic micro-plasticity. The third mechanism-a potential precursor to fatigue crack initiation in the structure-resulted in a cumulative softening because of early accumulation of cyclic fatigue damage and is the focus of this study. The loading intensity and the number of cycles influenced the relative contribution of these dynamic mechanisms. Nanoindentation studies near the beam clamped boundary were conducted to confirm the fatigue degradation in the local mechanical properties as a function of loading cycles. The proposed detection method is simple to implement and detects the presence of damage precursors but lacks the resolution to discern spatial distributions of the damage intensity. Based on prior knowledge of the structural dynamic characteristics of the beam and using the proposed methodology, damage level and stiffness reduction can be detected and estimated based on changes in the nonlinear structural response. The nonlinear stiffness term in the equation of motion is found to be very sensitive to the proposed fatigue damage precursor, making it an effective method for monitoring structural degradation prior to crack developments. The proposed methodology provides new insights and constitutes a significant step toward the development of new inspection techniques.

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Nonlinear modal models for sonic fatigue response prediction: a comparison of methods

Cited by 156 publications

References 5 publications

Prediction of displacement and stress fields of a notched panel with geometric nonlinearity by reduced order modeling

Prediction of displacement and stress fields of a notched panel with geometric nonlinearity by reduced order modeling

Nonlinear Reduced-Order Simulation Using an Experimentally Guided Modal Basis

Detection of fatigue damage precursor using a nonlinear vibration approach

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