Bilinear amplitude approximation for piecewise-linear oscillators

Jung, Chulwoo; D’Souza, Kiran; Epureanu, Bogdan I.

doi:10.2514/6.2012-1793

Cited by 1 publication

(3 citation statements)

References 33 publications

(44 reference statements)

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“…Different aspects of contact modeling are emphasized for different dynamic behaviors. For intermittent contacts, the small magnitudes of tangential forces, which are encountered during motion, are often completely ignored [91,93,124]. In most operational regimes, contact surfaces in blisks are designed with high preloads, and the system generally does not encounter separation at any of the node pairs [46,80].…”

Section: Dynamic Reduction and Probabilisticmentioning

confidence: 99%

“…Another ROM formulation technique for intermittent contacts called the BAA was proposed in Ref. [93]. The BAA method aims to directly approximate the amplitude of the nonlinear periodic motion and assumes that the structure enters the free and gross slip stage exactly once every period as shown in Fig.…”

Section: Reducedmentioning

confidence: 99%

“…The concept of BLMs was extended in Ref. [93] to directly calculate amplitudes of the periodic nonlinear steady-state response at resonant frequencies using modes similar to BLMs. This method is referred to as bilinear amplitude approximation (BAA), and is considerably faster than the BLM ROMs used in Ref.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Dynamic Modeling and Projection-Based Reduction Methods for Bladed Disks With Nonlinear Frictional and Intermittent Contact Interfaces

Mitra

Epureanu

2019

Applied Mechanics Reviews

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Turbine bladed disks or blisks, which constitute critical components of most modern turbomachinery, are known for their complex vibratory behavior. The nonlinear dynamics observed in most operational regimes of blisk with contact interfaces are dominated by one of two typical contact behaviors. Frictional contacts are dominated by Coulomb friction forces, while intermittent contacts are characterized by multiple separation events. Other factors such as the dispersion in material or geometric properties across blades, known as mistuning, also affect the dynamics significantly. Presently, probabilistic analysis is the widely accepted design methodology to account for mistuning, which is unknown prior to manufacture. Thus, reduced order modeling of these blisks is essential as high fidelity models are prohibitively expensive for such simulations. This paper provides a technical discussion of dynamic modeling and reviews projection-based techniques used for creation of reduced models of blisks with contacts.

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