Titlebook: Nonlinear Structures & Systems, Volume 1; Proceedings of the 3 Gaetan Kerschen,Matthew R.W. Brake,Ludovic Renson Conference proceedings 202

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Evaluation of Joint Modeling Techniques Using Calibration and Fatigue Assessment of a Bolted Structener fatigue life. In this work, modal testing, model calibration, and fatigue analysis are performed for a bolted structure, and various joint modeling techniques are compared. The structure is designed to test a single bolt to fatigue failure by utilizing an electrodynamic modal shaker to axially

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A Non-Masing Microslip Rough Contact Modeling Framework for Spatially and Cyclically Varying Normalof friction in joints introduces nonlinearities in the vibration response of the structure. Frictional contact models can be applied to reproduce the nonlinear behavior, but the best predictive modeling framework is not clear. Elastic dry friction is a popular choice for predictive modeling, but rec

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Finite Elements and Spectral Graphs: Applications to Modal Analysis and Identification, discrete domains. This chapter considers potential applications for such ideas in the field of modal analysis and identification. The thesis of the chapter lies in generalizing the “weak form” integral equations of the wave equation on a weighted graph domain using said developments (graph operatio

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Effects of the Geometry of Friction Interfaces on the Nonlinear Dynamics of Jointed Structure,equencies of the assembled structures due to softening effects and to reduce the vibration amplitude due to frictional energy dissipation between substructural components. It is also widely recognized that the geometrical characteristics of interface geometry have a significant impact on the nonline

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Model Updating and Uncertainty Quantification of Geometrically Nonlinear Panel Subjected to Non-uni, leading to highly nonlinear behaviors such as buckling. In order to determine whether a model correctly captures changes in the dynamics due to heating, the linearized natural frequencies can be compared between test and the FE model at a certain thermal state. This is considerably more difficult

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On Affine Symbolic Regression Trees for the Solution of Functional Problems,neering, where a functional problem is interpreted here as a search problem in a function space. A good example of a functional problem in structural dynamics would be to find an exact solution of a nonlinear equation of motion. Symbolic regression is usually implemented in terms of a tree represent

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NIXO-Based Identification of the Dominant Terms in a Nonlinear Equation of Motion,n a priori. Examples of very effective methods of this kind are NIFO, CRP, and NARMAX. Several works have sought to extend NARX or NARMAX to a black-box modeling technique. They have proven to be successful in finding accurate mathematical models for certain types of nonlinear systems, yet no method

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Nonlinear Dynamics and Characterization of Beam-Based Systems with Contact/Impact Boundaries,lytical verification in the form of Euler-Bernoulli beam theory are utilized to initially understand the ideal linear system and identify an expected frequency range of interest. The complex nonlinear behavior of varying stopper’s location on the characteristics of a cantilever beam system with a ti