Dynamic Analysis of Structures with Interval Uncertainty

Modares, Mehdi; Mullen, Robert L.

doi:10.1061/(asce)em.1943-7889.0000660

Cited by 18 publications

(7 citation statements)

References 15 publications

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“…The interval problem related to the interval analysis consists in computing the variation of the numerical model responses (Modares and Mullen 2013).…”

Section: Uncertainty Analysismentioning

confidence: 99%

Sensitivity Analysis of Flexible Rotor Subjected to Interval Uncertainties

Lara-Molina

Cavalini

Koroishi

et al. 2019

Lat. Am. j. solids struct.

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This paper aims at analyzing the sensitivity of the structural response of flexible rotors subjected to uncertain interval parameters. The interval approach encompasses both an uncertainty and sensitivity analyses. The uncertainty analysis consists in computing the interval uncertain structural responses by using the global optimization method. The sensitivity analysis computes the normalized relative sensitivity indices that quantify the degree of importance of each uncertain interval parameter on the uncertain structural responses of the flexible rotor. The uncertain structural responses and the sensitivity of the flexible rotor subjected to interval parameters are analyzed in terms of the Frequency Response Function (FRF), orbits, Campbell diagram, and run-up operating condition. Numerical simulation results illustrate the interval approach conveyed.

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“…The interval problem related to the interval analysis consists in computing the variation of the numerical model responses (Modares and Mullen 2013).…”

Section: Uncertainty Analysismentioning

confidence: 99%

Sensitivity Analysis of Flexible Rotor Subjected to Interval Uncertainties

Lara-Molina

Cavalini

Koroishi

et al. 2019

Lat. Am. j. solids struct.

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“…The method generates exact interval bounds on natural circular frequencies by utilizing the monotonic behavior of eigenvalues of symmetric matrices subjected to non-negative definite perturbations. This work was further expanded to include response spectrum analysis, entitled Interval Response Spectrum Analysis (IRSA), which obtains interval bounds on mode shapes and modal participation factors and the maximum modal coordinate (Modares and Mullen 2013). These values are used to compute the maximum modal response and the contribution of all modal responses are combined to compute the maximum total response.…”

Section: Imprecise Probabilitymentioning

confidence: 99%

“…Utilizing the perturbation theory of a symmetric non-negative definite matrix, the equation of the j th uncertain mode shape, { ̃ }, corresponding to j th uncertain natural frequency, ̃ , is (Modares & Mullen 2013):…”

Section: Computation Of Uncertain Mode Shapesmentioning

confidence: 99%

Dynamic analysis of uncertain structures using imprecise probability

Modares

Bergerson

2015

IJRS

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A new method for dynamic response spectrum analysis of structures with uncertainty in their mechanical properties utilizing the notion of imprecise probability is developed. This finite-element-based method is capable of obtaining probabilistic bounds of the dynamic response of the structure with uncertainty defined by enveloping p-boxes. The developed method obtains probabilistic bounds on 1) the mode shapes, 2) modal coordinates, and 3) modal participation factor, leading to the p-boxes of modal responses. Finally maximum modal responses are combined to obtain the structure's maximum total response with consideration of uncertainty. Numerical examples demonstrating the developed method are included.

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“…A stochastic approach, with focus on modelling of uncertain loading can be found in [10]. Another possibility is the application of the response spectrum method, for interval uncertainty see [11].…”

Section: Introductionmentioning

confidence: 99%