In Situ Measurements of Contact Pressure for Jointed Interfaces During Dynamic Loading Experiments

Brake, Matthew Robert; Stark, J. G.; Smith, Scott A.; Lancereau, Damien P. T.; Jerome, Trevor W.; Dossogne, Tilàn

doi:10.1007/978-3-319-54930-9_13

Cited by 9 publications

(8 citation statements)

References 9 publications

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“…However, the closed-form evaluation of the integrals in (7) is complicated due to the coupling of the different harmonics, and the diverse phase transitions that an element potentially undergoes during one time period. Therefore, we employ the Alternating-Frequency Time (AFT) scheme [33,34], which can be summarized as follows: given the displacement vector 𝐔 in the frequency-domain, one reconstructs 𝐮 h (t) across a sampled time period using (5).…”

Section: Overview Of Multi-harmonic Balance Methodsmentioning

confidence: 99%

“…Firrone and Zucca compared features of the responses obtained by employing different formulations in [6]. Experimental evidence [7,8] has shown that a correct simulation of joint behavior must take into account time varying contact pressure across the interface. Finely discretized interfacial meshes whose elements can reproduce this effect, equipped with an elastic or rigid Coulomb law, make the depiction of global microslip behavior possible [9].…”

Section: Introductionmentioning

confidence: 99%

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A frequency-domain reduced order model for joints by hyper-reduction and model-driven sampling

Morsy

Kast²,

Tiso³

2023

Mechanical Systems and Signal Processing

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Section: Overview Of Multi-harmonic Balance Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A frequency-domain reduced order model for joints by hyper-reduction and model-driven sampling

Morsy

Kast²,

Tiso³

2023

Mechanical Systems and Signal Processing

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“…However, the closed-form evaluation of the integrals in (7) is complicated due to the coupling of the different harmonics, and the diverse phase transitions that an element potentially undergoes during one time period. Therefore, we employ the Alternating-Frequency Time (AFT) scheme [31,32], which can be summarized as follows: given the displacement vector U in the frequency-domain, one reconstructs u h (t) across a sampled time period using (5).…”

Section: Overview Of Multi-harmonic Balance Methodsmentioning

confidence: 99%

“…Subsequently, the nonlinear forces are evaluated at the sampled time instants using the adopted contact law. One can then use a FFT to obtain the Fourier coefficients of the contact force vector in (7).…”

Section: Overview Of Multi-harmonic Balance Methodsmentioning

confidence: 99%

“…Firrone and Zucca compared features of the responses obtained by employing different formulations in [6]. Brake et al [7] showed experimentally that a correct simulation of joint behavior must take into account time varying contact pressure across the interface. An interfacial mesh whose elements can reproduce this effect, equipped with an elastic or rigid Coulomb law, makes the depiction of global microslip behavior possible [8].…”

Section: Introductionmentioning

confidence: 99%

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A Reduced Order Model for Joint Assemblies by Hyper-Reduction and Model-Driven Sampling

Morsy¹,

Kast²,

Tiso³

2022

Preprint

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The dynamic behavior of jointed assemblies exhibiting friction nonlinearities features amplitude-dependent dissipation and stiffness. To develop numerical simulations for predictive and design purposes, macro-scale High Fidelity Models (HFMs) of the contact interfaces are required. However, the high computational cost of such HFMs impedes the feasibility of the simulations. To this end, we propose a model-driven method for constructing hyper-reduced order models of such assemblies. Focusing on steady-state analysis, we use the Multi-Harmonic Balance Method (MHBM) to formulate the equations of motion in frequency domain. The reduction basis is constructed through solving a set of vibration problems corresponding to fictitious interface conditions. Subsequently, a Galerkin projection reduces the order of the model. Nonetheless, the necessary fine discretization of the interfaces represents a bottleneck for achieving high speedups. For this reason, we implement an adapted Energy Conserving Weighing and Sampling (ECSW) technique for Hyper Reduction (HR), thereby allowing significant speedups for meshes of arbitrary fineness. This feature is particularly advantageous since analysts typically encounter a trade-off between accuracy and computational cost when deciding on the mesh size, whose estimation is particularly challenging for problems of this type. To assess the accuracy of our method without resorting to the HF solution, we propose an error indicator with thresholds that have proven reliable in our analyses. Finally, the accuracy and efficiency of the method are demonstrated by two case studies.

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Inverse Methods for Characterization of Contact Areas in Mechanical Systems

Fronk

Eschen

Starkey

et al. 2018

Nonlinear Dynamics, Volume 1

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In Situ Measurements of Contact Pressure for Jointed Interfaces During Dynamic Loading Experiments

Cited by 9 publications

References 9 publications

A frequency-domain reduced order model for joints by hyper-reduction and model-driven sampling

A frequency-domain reduced order model for joints by hyper-reduction and model-driven sampling

A Reduced Order Model for Joint Assemblies by Hyper-Reduction and Model-Driven Sampling

Inverse Methods for Characterization of Contact Areas in Mechanical Systems

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