Time- and frequency-domain linear viscoelastic modeling of highly damped aerospace structures

Mastroddi, Franco; Martarelli, F.; Eugeni, Marco; Riso, Cristina

doi:10.1016/j.ymssp.2018.12.023

Cited by 24 publications

(17 citation statements)

References 10 publications

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“…While this frequency-domain description is more physically accurate than the viscous description for a class of materials, it leads to a frequency response function (FRF) with even imaginary part. Moreover, the FRF real and imaginary part do not form a Hilber part, so leading to a non-causal impulse response function (IRF) [9]. An unphysical time-domain system response follows that is complex and non-causal.…”

Section: Ifasd-2019-085mentioning

confidence: 99%

“…One possibility is to use fractional time derivatives where damping parameters are evaluated by directly fitting experimental data [13][14][15][16]. Alternatively, a previous work by the authors generalized the 1DOF model by Biot [17] to large-scale finite element models [9]. The generalized Biot model includes a Hilbert self-correction for giving a real and causal time-domain system response.…”

Section: Ifasd-2019-085mentioning

confidence: 99%

“…From a practical point of view, damping models must be readily applicable to large-scale finite element models for analyzing practical configurations. Furthermore, they need to be characterized by a set of parameters that can easily measured experimentally [8][9][10][11]. These requirements make the modeling of damping properties in the frequency domain particularly appealing, although it implies a careful mathematical treatment as it will be discussed later.…”

Section: Introductionmentioning

confidence: 99%

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Structural damping models for passive aeroelastic control

Eugeni

Saltari

Mastroddi

2021

Aerospace Science and Technology

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Aeroelastic qualification requirements are typically met by sizing aircraft to achieve adequate stability margins and keep peak gust responses below specified thresholds. A possible alternative approach is delaying flutter and alleviating gust response by embedding dissipative materials in structural components. This approach requires accurate damping models applicable to analyze complex configurations. This paper compares three damping models suitable for finite element aeroelastic analysis: the viscous model, the hysteretic model, and a generalized Biot model previously proposed by the authors. The damping models are applied to the flutter suppression and gust load alleviation of a practical aeroelastic testbed using dissipative skin patches. Results obtained using different damping models are compared to provide modeling recommendations for passive flutter suppression and gust alleviation studies.

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Section: Ifasd-2019-085mentioning

confidence: 99%

Section: Ifasd-2019-085mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Structural damping models for passive aeroelastic control

Eugeni

Saltari

Mastroddi

2021

Aerospace Science and Technology

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“…[32][33][34][35] The hysteretic damping model also better describes the behaviour of certain materials. 36 Mathematically, one of the most frequently used ways of modelling hysteretic damping is as part of a complex stiffness function, which has the problem of noncausality-an issue that shall be discussed in detail below.…”

Section: Introductionmentioning

confidence: 99%

Tuned inerter dampers with linear hysteretic damping

Deastra

Wagg

Sims

et al. 2020

Earthq Engng Struct Dyn

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Summary This paper explores the influence of linear hysteretic damping on the performance of passive tuned‐inerter devices. An inerter is a device that produces a force proportional to the relative acceleration across its two terminals; devices incorporating inerters have received widespread attention in the earthquake engineering community, because they offer the ability to improve the seismic response of structures. However, the majority of this research has assumed that the damping components within the tuned‐inerter device exhibit viscous, rather than hysteretic, damping. This restriction imposes an essential question on how the hysteretic damping model will change the performance of the device compared with the viscous damping model. It is shown that the response of viscous and hysteretic inerter systems have significant differences in displacement amplitude due to the frequency dependency of the damping. Therefore, a new formulation for obtaining the optimum loss factor of the hysteretic damping in the inerter system is proposed. Next, the challenges associated with accurately predicting the time‐response of a hysteretically damped system are discussed. A numerical time‐integration method is extended to address these challenges, using a new formulation that has the benefit of being broadly applicable to multidegree‐of‐freedom hysteretic linear systems and nonstationary random signals. The results show that the earthquake responses from the hysteretic damping model can differ significantly from the ones obtained via the viscous model.

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“…As such, we consider the findings presented in this paper to be significant. At the same time, Reid's model is one of the few truly practical alternatives to Bishop's model among a plethora of other models, which use, e.g., internal variables (Bouc-Wen) [19], fractional derivatives [20], Hilbert-transforms (Biot's model) [21], and even operators and neural networks [22]. These are mathematically interesting but practically too complex and sometimes artificial for general engineering practice.…”

Section: Introductionmentioning

confidence: 99%

Periodically Forced Nonlinear Oscillators With Hysteretic Damping

Bountis

Kaloudis

Spitas

2020

Journal of Computational and Nonlinear Dynamics

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We perform a detailed study of the dynamics of a nonlinear, one-dimensional oscillator driven by a periodic force under hysteretic damping, whose linear version was originally proposed and analyzed by Bishop in [1]. We first add a small quadratic stiffness term in the constitutive equation and construct the periodic solution of the problem by a systematic perturbation method, neglecting transient terms as $t\rightarrow \infty$. We then repeat the analysis replacing the quadratic by a cubic term, which does not allow the solutions to escape to infinity. In both cases, we examine the dependence of the amplitude of the periodic solution on the different parameters of the model and discuss the differences with the linear model. We point out certain undesirable features of the solutions, which have also been alluded to in the literature for the linear Bishop's model, but persist in the nonlinear case as well. Finally, we discuss an alternative hysteretic damping oscillator model first proposed by Reid [2], which appears to be free from these difficulties and exhibits remarkably rich dynamical properties when extended in the nonlinear regime.

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Time- and frequency-domain linear viscoelastic modeling of highly damped aerospace structures

Cited by 24 publications

References 10 publications

Structural damping models for passive aeroelastic control

Structural damping models for passive aeroelastic control

Tuned inerter dampers with linear hysteretic damping

Periodically Forced Nonlinear Oscillators With Hysteretic Damping

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