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    Chapter and Conference Paper

    Implicit Milstein Schemes: Preservation of Properties When Solving the CIR Equation

    Angel Tocino, Samir Llamazares-Elias in Advances in Nonlinear Dynamics, Volume I (2024)

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    Chapter and Conference Paper

    Nonlinear Effects of the Central Body Oblateness on the Coplanar Dynamics of Solar Sails

    The nonlinearities introduced by the coupling of solar radiation pressure and oblateness perturbations are known to yield radical changes in the long-term dynamics of solar sails. After a reduction process in ...

    Martin Lara, Elena Fantino, Roberto Flores in Advances in Nonlinear Dynamics, Volume I (2024)

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    Chapter and Conference Paper

    Optimal Control of Open–Loop Multibody Systems Recovered from Data

    In this paper, we consider data–driven models of open–loop multi–rigid–body systems. Such models may possess uncertain coefficients or additional state–dependent terms, which are not present in the nominal sys...

    Maciej Pikuliński, Paweł Malczyk in Optimal Design and Control of Multibody Systems (2024)

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    Chapter and Conference Paper

    On the Numerical Stability of Discretised Optimal Control Problems

    Optimal Control Problems (OCP) consist in optimising an objective functional subjected to a set of Ordinary Differential Equations. In this work, we consider the effects on the stability of the numerical solut...

    Ashutosh Bijalwan, José J. Muñoz in Optimal Design and Control of Multibody Systems (2024)

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    Chapter and Conference Paper

    Resonant Characterization of Nonlinear Structures in the Co-existence of Multiple Resonant Components

    The study of nonlinear normal modes has become a very popular subdiscipline in the structural dynamics community. This is principally due to the fact that they allow for a practical generalization of the conce...

    Nidish Narayanaa Balaji, Matthew R. W. Brake in Nonlinear Structures & Systems, Volume 1 (2024)

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    Chapter and Conference Paper

    Multiharmonic Forced Response Analysis of a Torsional Vibration Isolator Using a Nonlinear Quasi-zero Stiffness Approach

    The forced response of a nonlinear coupling element featuring an angular displacement range with quasi-zero stiffness (QZS) is studied numerically by means of multiharmonic simulations. This chapter focuses on...

    Sebastian Willeke, Michael Steidl in Advances in Nonlinear Dynamics, Volume I (2024)

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    Chapter and Conference Paper

    Modelization of Thermally Induced Jitter in an Orbiting Slender Structure

    Thermomechanical interactions onboard spacecraft are an interesting field of research. Since Bruno Boley’s 1954 publication, numerous authors have contributed, if not with a multidisciplinary perspective. The ...

    Kathiravan Thangavel, Maurizio Parisse in Advances in Nonlinear Dynamics, Volume I (2024)

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    Chapter and Conference Paper

    Experimental Modal Analysis of Structures with High Nonlinear Dam** by Using Response-Controlled Stepped-Sine Testing

    In the last decade, various promising nonlinear modal identification techniques have been developed based on the nonlinear normal mode (NNM) concept. Most of these techniques rely on the phase resonance testin...

    Taylan Karaağaçlı, H. Nevzat Özgüven in Nonlinear Structures & Systems, Volume 1 (2024)

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    Chapter and Conference Paper

    Model Validation of a Modular Foam Encapsulated Electronics Assembly with Controlled Preloads via Additively Manufactured Silicone Lattices

    Traditional electronics assemblies are typically packaged using physically or chemically blown potted foams to reduce the effects of shock and vibration. These potting materials have several drawbacks includin...

    Tanner Ballance, Bryce Lindsey, Daniel Saraphis in Nonlinear Structures & Systems, Volume 1 (2024)

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    Chapter and Conference Paper

    An Extensible Double Pendulum and Multiple Parametric Resonances

    Shihabul Haque, Nilanjan Sasmal in Advances in Nonlinear Dynamics, Volume I (2024)

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    Chapter and Conference Paper

    A Complete Stability Chart for the Tippedisk

    The tippedisk is a mathematical–mechanical archetype, showing a non-intuitive inversion behavior, if the disk is spun fast enough. By introducing a full 3D mechanical model and assuming set-valued force laws t...

    Simon Sailer, Remco I. Leine in Advances in Nonlinear Dynamics, Volume I (2024)

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    Chapter and Conference Paper

    Using Abaqus with Python to Perform QSMA on the TMD Structure

    Automotive and aerospace structures are increasingly making use of thin panels to reduce weight while seeking to maintain durability and minimize noise transmission. These panels can exhibit geometrically nonl...

    Brennan Bahr, Drithi Shetty, Matthew S. Allen in Nonlinear Structures & Systems, Volume 1 (2024)

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    Chapter and Conference Paper

    Experimental Investigation on Frictional Interfaces of a Bolted Flange System

    The coupling between the frictional energy dissipation and the dynamic response at the joint interface leads to mechanisms that are challenging to identify relying mainly on numerical data. The need for experi...

    Nidhal Jamia, Matthew S. Bonney, Hassan Jalali in Nonlinear Structures & Systems, Volume 1 (2024)

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    Chapter and Conference Paper

    Analysis of Forced Vibrations of a Nonlinear Elastic Plate on a Viscoelastic Foundation Subjected to Hard Excitation from Harmonic Load

    In the present chapter, the dynamic response of a nonlinear Kirchhoff-Love plate resting on a viscoelastic foundation in a viscoelastic medium, dam** features of which are described by the Kelvin-Voigt fract...

    Marina V. Shitikova, Anastasiya I. Krusser in Advances in Nonlinear Dynamics, Volume I (2024)

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    Chapter and Conference Paper

    Nonlinear Dynamic Characteristics and Four Contact States of a Spur Gear Pair Considered Tooth Profile Error and Extended Tooth Contact

    The actual tooth profile of a spur gear will inevitably deviate from the involute tooth profile (ITP) due to machining error, and so on. The nonlinear characteristics and contact state of the gear transmission...

    Zhengfa Li, Zaigang Chen, Jieyu Ning in Advances in Nonlinear Dynamics, Volume I (2024)

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    Chapter and Conference Paper

    A Method for the Analysis of the Aeroelastic Stability of Slender Wind Turbines and Its Validation

    Aeroelastic stability has become an important constraint for current long and slender blade designs in the wind industry. In this work, we present a method for the stability analysis of wind turbines as three-...

    Chao Peng, Alessandro Tasora, Pin Lyu in Advances in Nonlinear Dynamics, Volume I (2024)

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    Chapter and Conference Paper

    Nonlinear Dynamics, Continuation, and Stability Analysis of a Shaft-Bearing Assembly

    In this work, the frequency response of a simplified shaft-bearing assembly is studied using numerical continuation. Roller-bearing clearances give rise to contact behavior in the system, and past research has...

    Brian Evan Saunders, Robert J. Kuether in Nonlinear Structures & Systems, Volume 1 (2024)

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    Chapter and Conference Paper

    Linear Sheared Flow Effects in Vortex-Induced Forces on Three Tandem Subsea Structures in Proximity to Larger Objects

    Flow around three identical circular cylinders in statics under the impact of vortex-induced forces in close proximity to subsea equipment is modeled in this work using computational fluid dynamics in a critic...

    Henry Francis Annapeh, Victoria Kurushina in Advances in Nonlinear Dynamics, Volume I (2024)

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    Chapter and Conference Paper

    Regular and Complex Behavior in the Pendulum System Under a Magnetic Field

    Dynamics of two coupled pendulums under a magnetic field are considered by taking into account dissipation in the system. The inertial components of the pendulums are essentially different, and a ratio of mass...

    Yuliia E. Surhanova, Yuri V. Mikhlin in Advances in Nonlinear Dynamics, Volume I (2024)

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    Chapter and Conference Paper

    Study of the Effect of Non-linear End Supports on the Unbalance Response of the Elastic Shaft

    Non-linearities in modelling the dynamic behaviour of systems are often neglected for simplicity; however, accurate prediction of responses, especially in the cases of low tolerance on response, and the issue ...

    Jayanta Kumar Dutt, Krishanu Ganguly in Advances in Nonlinear Dynamics, Volume I (2024)

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