@article {TERRIEN2025119241, title = {Basins of attraction in a dynamical system with a time-varying control parameter: The case of attack transients in a simple model of reed musical instrument}, journal = {Journal of Sound and Vibration}, volume = {618}, year = {2025}, pages = {119241}, abstract = {

Multistability, a common phenomenon in dynamical systems in general and in musical instruments in particular, corresponds to the coexistence of several stable regimes for a given set of parameters. When a system is multistable, which regime is observed depends on the initial conditions on the state variables, and therefore relates to the basins of attraction. Here we consider a simple model of reed musical instrument. A bifurcation analysis shows that the system is bistable on a range of the blowing pressure, which is one of the main control parameters for the musician. In the bistability region, the boundary between basins of attraction is computed for the classical case of constant control parameters in the one hand, and for saturating ramps of the blowing pressure on the other hand. These profiles of the blowing pressure are chosen as prototypical representations of the so-called attack transients of the blowing pressure, during which the musician starts to blow in the instrument to create a musical note from silence. Attack transients are known to be of crucial importance in a musical context, yet mostly overlooked in physical models of the musician{\textendash}instrument system. The separatrix between basins of attraction is computed numerically by combining time-domain simulations with a machine learning technique relying on support vector machine. Our results demonstrate that attack transients of the blowing pressure significantly affect the practical observability of the different stable regimes, suggesting that they might be used by musicians to navigate between basins. From a more general point of view, these results relate to rate-induced tipping phenomena and might therefore be of interest beyond the particular case of musical instruments.

}, keywords = {Attack transients, Basins of attraction, Bifurcation analysis, Musical acoustics, Nonlinear dynamical systems, Physical modeling, Rate-induced tipping}, issn = {0022-460X}, doi = {https://doi.org/10.1016/j.jsv.2025.119241}, url = {https://www.sciencedirect.com/science/article/pii/S0022460X25003153}, author = {Soizic Terrien and Baptiste Bergeot and Christophe Vergez and Samy Missoum} } @proceedings {doi:10.2514/6.2025-1957, title = {Stochastic Optimization With Multiple Failure Modes of Systems Subjected to Random Vibrations}, year = {2025}, doi = {10.2514/6.2025-1957}, url = {https://arc.aiaa.org/doi/abs/10.2514/6.2025-1957}, author = {Luis Ballesteros and Samy Missoum and Christopher D. Noble} } @article {, title = {Nonlinear dynamics of the wolf tone production}, journal = {Journal of Sound and Vibration}, volume = {516}, year = {2022}, pages = {116463}, doi = {10.1016/j.jsv.2021.116463}, url = {https://www.sciencedirect.com/science/article/pii/S0022460X21005010}, author = {Etienne Gourc and Christophe Vergez and Pierre-Olivier Mattei and Samy Missoum} } @article {, title = {A note on the effect of material uncertainty on acoustic source localization error in anisotropic plates}, journal = {Ultrasonics}, volume = {119}, year = {2022}, pages = {106623}, issn = {0041-624X}, doi = {10.1016/j.ultras.2021.106623}, url = {https://www.sciencedirect.com/science/article/pii/S0041624X21002419}, author = {Novonil Sen and Tribikram Kundu and Samy Missoum} } @article {, title = {Surrogate-based stochastic optimization of horizontal-axis wind turbine composite blades}, journal = {Structural and Multidisciplinary Optimization}, volume = {65}, year = {2022}, doi = {10.1007/s00158-021-03114-8}, author = {Mishal Thapa and Samy Missoum} } @article {, title = {Entropy-based Optimization for Heat Transfer Enhancement in Tubes with Helical Fins}, journal = {Journal of Heat Transfer}, volume = {144}, year = {2021}, pages = {012001-012009}, issn = {0022-1481}, doi = {10.1115/1.4052582}, url = {https://doi.org/10.1115/1.4052582}, author = {Bharath Pidaparthi and Peiwen Li and Samy Missoum} } @proceedings {, title = {Multi-fidelity Approaches for Optimization and Reliability Assessment of Thermal Systems}, year = {2021}, month = {May 18}, keywords = {Poster Presentation}, author = {Bharath Pidaparthi and Samy Missoum} } @article {, title = {Optimization under Uncertainty of a Chain of Nonlinear Resonators using a Field Representation}, journal = {Applied Mathematical Modelling}, volume = {96}, year = {2021}, pages = {779-795}, doi = {10.1016/j.apm.2021.03.033}, url = {https://www.sciencedirect.com/science/article/pii/S0307904X21001645}, author = {Seyed Saeed Ahmadisoleymani and Samy Missoum} } @article {, title = {Stochastic Crashworthiness Optimization Accounting for Simulation Noise}, journal = {Journal of Mechanical Design}, volume = {144}, year = {2021}, pages = {051701-051714}, issn = {1050-0472}, doi = {10.1115/1.4052903}, url = {https://doi.org/10.1115/1.4052903}, author = {Seyed Saeed Ahmadisoleymani and Samy Missoum} } @proceedings {, title = {Stochastic Crashworthiness Optimization Accounting for Simulation Noise and Random Parameters}, year = {2021}, author = {Seyed Saeed Ahmadisoleymani and Samy Missoum} } @proceedings {, title = {Stochastic Optimization for Crashworthiness}, year = {2021}, month = {May 18}, keywords = {Poster Presentation}, author = {Seyed Saeed Ahmadisoleymani and Samy Missoum} } @conference {, title = {Crashworthiness Optimization Based on the Probability of Traumatic Brain Injury Accounting for Simulation Noise and Impact Conditions}, booktitle = {Proceedings of the ASME International Mechanical Engineering Congress and Exposition. Volume 14: Safety Engineering, Risk, and Reliability Analysis}, year = {2020}, publisher = {American Society of Mechanical Engineers}, organization = {American Society of Mechanical Engineers}, address = {Virtual, Online}, doi = {10.1115/IMECE2020-24068}, url = {https://doi.org/10.1115/IMECE2020-24068}, author = {Seyed Saeed Ahmadisoleymani and Samy Missoum} } @conference {, title = {Entropy-Based Optimization of Helical Fins for Heat Transfer Enhancement inside Tubes}, booktitle = {Proceedings of the ASME International Mechanical Engineering Congress and Exposition. Volume 11: Heat Transfer and Thermal Engineering}, year = {2020}, publisher = {American Society of Mechanical Engineers}, organization = {American Society of Mechanical Engineers}, address = {Virtual, Online}, doi = {10.1115/IMECE2020-24025}, url = {https://doi.org/10.1115/IMECE2020-24025}, author = {Bharath Pidaparthi and Peiwen Li and Samy Missoum} } @conference {, title = {High-Dimensional Uncertainty Quantification and Global Sensitivity Analysis of a Composite Wind Turbine Blade}, booktitle = {Proceedings of the ASC Thirty-fifth Technical Conference}, year = {2020}, publisher = {American Society for Composites}, organization = {American Society for Composites}, address = {Virtual, Online}, doi = {10.12783/asc35/34973}, url = {http://www.dpi-proceedings.com/index.php/asc35/article/view/34973}, author = {Mishal Thapa and Samy Missoum} } @conference {, title = {A Multi-Fidelity Approach for the Reliability Assessment of Shell and Tube Heat Exchangers}, booktitle = {Proceedings of the ASME International Mechanical Engineering Congress and Exposition. Volume 14: Safety Engineering, Risk, and Reliability Analysis}, year = {2020}, publisher = {American Society of Mechanical Engineers}, organization = {American Society of Mechanical Engineers}, address = {Virtual, Online}, doi = {10.1115/IMECE2020-24164}, url = {https://doi.org/10.1115/IMECE2020-24164}, author = {Bharath Pidaparthi and Samy Missoum and Peiwen Li} } @conference {, title = {Stochastic Kriging for Crashworthiness Optimization Accounting for Simulation Noise}, booktitle = {Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 11B: 46th Design Automation Conference (DAC)}, year = {2020}, publisher = {American Society of Mechanical Engineers}, organization = {American Society of Mechanical Engineers}, address = {Virtual, Online}, doi = {10.1115/DETC2020-22532}, url = {https://doi.org/10.1115/DETC2020-22532}, author = {Seyed Saeed Ahmadisoleymani and Samy Missoum} } @conference {, title = {Stochastic Optimization of a Horizontal-Axis Composite Wind Turbine Blade}, booktitle = {Proceedings of the ASME 2020 International Mechanical Engineering Congress and Exposition. Volume 14: Safety Engineering, Risk, and Reliability Analysis.}, year = {2020}, publisher = {American Society of Mechanical Engineers}, organization = {American Society of Mechanical Engineers}, address = {Virtual, Online}, doi = {10.1115/IMECE2020-24004}, url = {https://doi.org/10.1115/IMECE2020-24004}, author = {Mishal Thapa and Samy Missoum} } @article {, title = {Woodwind Instrument Design Optimization based on Impedance Characteristics with Geometric Constraints}, journal = {Journal of the Acoustical Society of America}, volume = {148}, year = {2020}, month = {11/2020}, chapter = {2864}, abstract = {

Computational optimization algorithms coupled with acoustic models of wind instruments provide instrument makers with an opportunity to explore new designs. Specifically, they enable the automatic discovery of geometries exhibiting desired resonance characteristics. In this paper, the design optimization of woodwind instruments with complex geometrical features (e.g., non-cylindrical bore profile and side holes with various radii and chimney heights) is investigated. Optimal geometric designs are searched so that their acoustic input impedance has peaks with specific target frequencies and amplitudes. However, woodwind instruments exhibit complex input impedance whose features, such as resonances, might have non-smooth evolution with respect to design variables, thus hampering gradient-based optimization. For this reason, this paper introduces new formulations of the impedance characteristics (resonance frequencies and amplitudes) using a regularized unwrapped angle of the reflection function. The approach is applied to an illustrative instrument subjected to geometric constraints similar to the ones encountered by manufacturers (a key-less pentatonic clarinet with two-registers). Three optimization problems are considered, demonstrating a strategy to simultaneously adjust several impedance characteristics on all fingerings.

}, doi = {10.1121/10.0002449}, url = {https://doi.org/10.1121/10.0002449}, author = {Augustin Ernoult and Christophe Vergez and Samy Missoum and Philippe Guillemain and Michael Jousserand} } @article {doi:10.1080/10255842.2019.1574343, title = {Construction of a Risk Model Through the Fusion of Experimental Data and Finite Element Modeling: Application to Car Crash-Induced TBI}, journal = {Computer Methods in Biomechanics and Biomedical Engineering}, volume = {22}, year = {2019}, note = {PMID: 30773915}, pages = {605-619}, publisher = {Taylor \& Francis}, doi = {10.1080/10255842.2019.1574343}, url = {https://doi.org/10.1080/10255842.2019.1574343}, author = {Seyed Saeed Ahmadisoleymani and Samy Missoum} } @article {MISSOUM2017695, title = {Identification of material properties of composite sandwich panels under geometric uncertainty}, journal = {Composite Structures}, volume = {179}, year = {2017}, pages = {695 - 704}, keywords = {Composite sandwich panels, Identification, Random fields, Uncertainty}, issn = {0263-8223}, doi = {https://doi.org/10.1016/j.compstruct.2017.07.020}, url = {http://www.sciencedirect.com/science/article/pii/S0263822317306347}, author = {Samy Missoum and Sylvain Lacaze and Marco Amabili and Farbod Alijani} } @article {boroson2017optimization, title = {Optimization Under Uncertainty of Parallel Nonlinear Energy Sinks}, journal = {Journal of Sound and Vibration}, volume = {394}, year = {2017}, month = {04/2017}, pages = {451-464}, abstract = {

Nonlinear Energy Sinks (NESs) are a promising technique for passively reducing the amplitude of vibrations. Through nonlinear stiffness properties, a NES is able to passively and irreversibly absorb energy. Unlike the traditional Tuned Mass Damper (TMD), NESs do not require a specific tuning and absorb energy over a wider range of frequencies. Nevertheless, they are still only efficient over a limited range of excitations. In order to mitigate this limitation and maximize the efficiency range, this work investigates the optimization of multiple NESs configured in parallel. It is well known that the efficiency of a NES is extremely sensitive to small perturbations in loading conditions or design parameters. In fact, the efficiency of a NES has been shown to be nearly discontinuous in the neighborhood of its activation threshold. For this reason, uncertainties must be taken into account in the design optimization of NESs. In addition, the discontinuities require a specific treatment during the optimization process. In this work, the objective of the optimization is to maximize the expected value of the efficiency of NESs in parallel. The optimization algorithm is able to tackle design variables with uncertainty (e.g., nonlinear stiffness coefficients) as well as aleatory variables such as the initial velocity of the main system. The optimal design of several parallel NES configurations for maximum mean efficiency is investigated. Specifically, NES nonlinear stiffness properties, considered random design variables, are optimized for cases with 1, 2, 3, 4, 5, and 10 NESs in parallel. The distributions of efficiency for the optimal parallel configurations are compared to distributions of efficiencies of non-optimized NESs. It is observed that the optimization enables a sharp increase in the mean value of efficiency while reducing the corresponding variance, thus leading to more robust NES designs.

}, keywords = {Parallel nonlinear energy sinks; Optimization under uncertainty; Activation threshold}, doi = {http://dx.doi.org/10.1016/j.jsv.2016.12.043}, url = {http://www.sciencedirect.com/science/article/pii/S0022460X16308045}, author = {Ethan Boroson and Samy Missoum and Pierre-Olivier Mattei and Christophe Vergez} } @proceedings {boroson2016stochastic, title = {Stochastic Optimization of Nonlinear Energy Sinks Using Resonance-based Clustering}, year = {2016}, publisher = {American Society of Mechanical Engineers}, address = {Phoenix, AZ}, doi = {10.1115/IMECE2016-67115}, url = {https://doi.org/10.1115/IMECE2016-67115}, author = {Ethan Boroson and Samy Missoum} }