Dynamical interaction of an elastic system and a vibro‐impact absorber

Mikhlin, Yuri V.; Решетникова, С Н

doi:10.1155/mpe/2006/37980

Cited by 23 publications

(9 citation statements)

References 21 publications

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“…Similar procedures for calculations of the Kauderer-Rosenberg NNMs of the system with impact absorber and linear subsystem are proposed in Refs. [15,16]. The modal lines are calculated using NNMs theory and nonsmooth functions developed by Pilipchuk [6].…”

Section: Concept Of Kauderer-rosenberg Nnms and Its Applicationsmentioning

confidence: 99%

“…In general, different mechanisms of energy transfer exist. Nonlinear energy transfer is implemented due to nonlinear mode bifurcations, or through spatial energy localization by formation of NNMs [3,5,9,[15][16][17][18][19]74,[92][93][94][95]. In nonlinear Hamiltonian systems, the irreversible transfer of energy is generally precluded due to conservation of the phase volume.…”

Section: Localization and Target Energy Transfermentioning

confidence: 99%

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Review of Applications of Nonlinear Normal Modes for Vibrating Mechanical Systems

Аврамов

Mikhlin

2013

Applied Mechanics Reviews

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This paper is an extension of the previous review, done by the same authors (Mikhlin, Y., and Avramov, K. V., 2010, “Nonlinear Normal Modes for Vibrating Mechanical Systems. Review of Theoretical Developments,” ASME Appl. Mech. Rev., 63(6), p. 060802), and it is devoted to applications of nonlinear normal modes (NNMs) theory. NNMs are typical regimes of motions in wide classes of nonlinear mechanical systems. The significance of NNMs for mechanical engineering is determined by several important properties of these motions. Forced resonances motions of nonlinear systems occur close to NNMs. Nonlinear phenomena, such as nonlinear localization and transfer of energy, can be analyzed using NNMs. The NNMs analysis is an important step to study more complicated behavior of nonlinear mechanical systems.This review focuses on applications of Kauderer–Rosenberg and Shaw–Pierre concepts of nonlinear normal modes. The Kauderer–Rosenberg NNMs are applied for analysis of large amplitude dynamics of finite-degree-of-freedom nonlinear mechanical systems. Systems with cyclic symmetry, impact systems, mechanical systems with essentially nonlinear absorbers, and systems with nonlinear vibration isolation are studied using this concept. Applications of the Kauderer–Rosenberg NNMs for discretized structures are also discussed. The Shaw–Pierre NNMs are applied to analyze dynamics of finite-degree-of-freedom mechanical systems, such as floating offshore platforms, rotors, piece-wise linear systems. Studies of the Shaw–Pierre NNMs of beams, plates, and shallow shells are reviewed, too. Applications of Shaw–Pierre and King–Vakakis continuous nonlinear modes for beam structures are considered. Target energy transfer and localization of structures motions in light of NNMs theory are treated. Application of different asymptotic methods for NNMs analysis and NNMs based model reduction are reviewed.

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Section: Concept Of Kauderer-rosenberg Nnms and Its Applicationsmentioning

confidence: 99%

Section: Localization and Target Energy Transfermentioning

confidence: 99%

Review of Applications of Nonlinear Normal Modes for Vibrating Mechanical Systems

Аврамов

Mikhlin

2013

Applied Mechanics Reviews

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“…Die analytische Lösung des Reibungstilgers [13] Werden diese dimensionslosen Parameter in Gln. 17- (21) eingesetzt, so ergeben sich die dimensionslosen Differentialgleichungen…”

Section: Analytische Untersuchungenunclassified

“…Der Einsatz von Tilgern zur Schwingungsreduktion ist üblich im Ingenieurwesen [27,5]. Dämpfer, die Stöße sich zunutze machen, werden in [19,2,20,21,32] hauptsächlich in drei Varianten untersucht: mit Spiel, mit einer einzigen Stoßmasse und mit mehrfachen Stoßmassen. Magneto-elektro-rheologische Dämpfer [16,29,30,9] stellen Dämpfer mit einstellbaren Parametern dar, beispielsweise mit einer verstellbaren Steifigkeit oder Dämpfung.…”

Section: Introductionunclassified

Analyse von Tilgerkonfigurationen mit trockenen Reibungselementen

Aramendiz

Fidlin

2020

Forsch Ingenieurwes

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Zusammenfassung Die Ergreifung von Maßnahmen zur Schwingungsreduktion ist eine im Maschinenbau wichtige Aufgabe, da unerwünschte Vibrationen zu Systemstörungen führen können. Insbesondere bei Leichtbausystemen wird die natürlich vorhandene interne Dämpfung des Systems reduziert und neue, innovative, energieeffiziente Dämpfungsalternativen sind erforderlich. Die vorliegende Arbeit beschäftigt sich mit zwei Systemen: der trockene Lock-Up Dämpfer und der vorgespannte trockene Reibungstilger. Diese Systeme basieren auf trockener Reibung und nutzen die Haft-Gleit-Eigenschaften aus, um Schwingungen im System zu reduzieren. Die Bewegungsgleichung dieser Systeme, sowie numerische Parameterstudien und analytische Lösungen via Mittelwertbildungsverfahren werden vorgestellt. Anschließend werden die Dämpfungsmechanismen in transienten Simulationen verglichen.

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“…However, these are not the only way to introduce dampers into machines. Impact dampers for example rely on collision masses and have been studied in [3–7] mainly in three variations: with clearance, with a singular impact mass, and with multiple impact masses. Impact dampers were also investigated for turbomaschinery in [8].…”

Section: Introductionmentioning

confidence: 99%

Investigations on amplitude adaptive sequential friction‐spring dampers

2019

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This paper presents two sequential friction‐spring damper configurations and develops numerical and analytical models, which describe the systems' behavior. The dampers rely on the non‐smooth characteristics of dry friction to quench unwanted oscillations and only dissipate energy once a preset breakaway force of the friction element is exceeded. Since no additional control is required and the dissipation is only present within a given frequency range, this passive amplitude adaptive dissipation contributes to a higher energy efficiency. The dampers' equations of motion are derived and implemented in a numerical model to gain the first insights into the dampers' behavior. These equations of motion are analyzed via averaging methods in combination with a modal decoupling for nonlinear systems, which lead to the dampers' analytical models. The results from both models are compared and show reasonable agreement within the validity range of asymptotic methods. This work proposes two friction based amplitude adaptive dampers and offers a starting point for future experimental validation.

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Dynamical interaction of an elastic system and a vibro‐impact absorber

Cited by 23 publications

References 21 publications

Review of Applications of Nonlinear Normal Modes for Vibrating Mechanical Systems

Review of Applications of Nonlinear Normal Modes for Vibrating Mechanical Systems

Analyse von Tilgerkonfigurationen mit trockenen Reibungselementen

Investigations on amplitude adaptive sequential friction‐spring dampers

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