A method for numerical and experimental nonlinear modal analysis of nonsmooth systems

Péter, Simon; Schreyer, Frederic; Leine, Remco I.

doi:10.1016/j.ymssp.2018.11.009

Cited by 17 publications

(12 citation statements)

References 33 publications

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“…Backbone curves and corresponding displacement fields of low frequency modes are shown in Figure 7. The provided results agree well with existing ones [17,28]. In the displacement field, the participation of minor spurious high-frequency waves is caused by the truncation in the Fourier series and reduces by increasing m. Instead, in the velocity field and contact force, the Gibb's phenomenon is non-negligible due to the contact-induced discontinuities in those functions.…”

Section: Dirichlet-signorini Bar Systemsupporting

confidence: 87%

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Nonsmooth modal analysis via the boundary element method for one-dimensional bar systems

Legrand

2021

Nonlinear Dyn

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Section: Dirichlet-signorini Bar Systemsupporting

confidence: 87%

“…and reading (17) on the boundary f0g [ f`g leads to the two linearly independent equations for the second bar 0 cos `sin ` cos `sin ` 0…”

Section: Bem Formulationmentioning

confidence: 99%

Nonsmooth modal analysis via the boundary element method for one-dimensional bar systems

Legrand

2021

Nonlinear Dyn

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“…However, it is limited to the isolated nonlinear modes and low modal damping ratios as it is also restricted to periodic motions. Peter et al [ 132 ] numerically and experimentally proposed a new technique for the nonlinear modal analysis of non-smooth mechanical systems. The numerical technique was found based on two combined methods.…”

Section: Nonlinear Damping Identification Methodsmentioning

confidence: 99%

A Critical Review of Nonlinear Damping Identification in Structural Dynamics: Methods, Applications, and Challenges

Al-hababi

Cao

Saleh

et al. 2020

Sensors

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In recent decades, nonlinear damping identification (NDI) in structural dynamics has attracted wide research interests and intensive studies. Different NDI strategies, from conventional to more advanced, have been developed for a variety of structural types. With apparent advantages over classical linear methods, these strategies are able to quantify the nonlinear damping characteristics, providing powerful tools for the analysis and design of complex engineering structures. Since the current trend in many applications tends to more advanced and sophisticated applications, it is of great necessity to work on developing these methods to keep pace with this progress. Moreover, NDI can provide an effective and promising tool for structural damage detection purposes, where the changes in the dynamic features of structures can be correlated with damage levels. This review paper provides an overview of NDI methods by explaining the fundamental challenges and potentials of these methods based on the available literature. Furthermore, this research offers a comprehensive survey of different applications and future research trends of NDI. For potential development and application work for nonlinear damping methods, the anticipated results and recommendations of the current paper can assist researchers and developers worldwide to find out the gaps and unsolved issues in the field of NDI.

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“…Зокрема, це стосується методів та моделей для аналізу власних частот і власних форм коливань тонкостінних конструкцій [13][14][15][16][17]. Також не вирішують повністю посталої проблеми певні комбінації аналітичних, чисельних та експериментальних досліджень [18][19][20]. Разом із тим якраз розрахунково-експериментальні дослідження дають можливість досягати все більшої адекватності моделей, точності результатів, достовірності та обгрунтовності рекомендацій на основі проектних досліджень [21,22].…”

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Numerical and Experimental Studies of Dynamics of Armored Hull Scale Model of Light Armored Vechicles

Malakеi¹,

Grabovskiy²,

Tkachuk³

et al. 2020

Bulletin of the National Technical University «KhPI» Series: Engineering and CAD

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Для побудови чисельної моделі динамічних процесів у бронекорпусі легкоброньованої машини досліджено макет його верхньої проекції. Паралельно здійснено його чисельне та експериментальне дослідження. Визначено власні частоти і власні форми коливань макету. Також визначено його реакцію на імпульсне збудження. На цій основі установлено параметри скінченно-елементної моделі, які забезпечують задовільну точність чисельного моделювання динамічного напружено-деформованого стану макета та натурного зразка бронекорпуса легкоброньованої машини. Ключові слова: бронекорпус; легкоброньована машина; власна частота коливань; власна форма коливань; імпульсне збудження; метод скінченних елементів; макет; розрахунково-експериментальний метод А. Н.

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A method for numerical and experimental nonlinear modal analysis of nonsmooth systems

Cited by 17 publications

References 33 publications

Nonsmooth modal analysis via the boundary element method for one-dimensional bar systems

Nonsmooth modal analysis via the boundary element method for one-dimensional bar systems

A Critical Review of Nonlinear Damping Identification in Structural Dynamics: Methods, Applications, and Challenges

Numerical and Experimental Studies of Dynamics of Armored Hull Scale Model of Light Armored Vechicles

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