Study on response mechanism of nonlinear energy sink with inerter and grounded stiffness

P Sui, Y Shen, X Wang - Nonlinear Dynamics, 2023 - Springer
Novel and efficient vibration control units such as inerter and grounded stiffness have
contributed significantly to structural vibration reduction. However, as the performance of …

Design and modeling of a quasi-zero stiffness isolator for different loads

Y Zheng, WB Shangguan, Z Yin, XA Liu - Mechanical Systems and Signal …, 2023 - Elsevier
Most quasi-zero stiffness (QZS) isolators are effective to achieve low-frequency vibration
isolation for a certain load but are not capable of achieving effective isolation for other loads …

Backbone curves, Neimark-Sacker boundaries and appearance of quasi-periodicity in nonlinear oscillators: application to 1: 2 internal resonance and frequency …

G Gobat, L Guillot, A Frangi, B Cochelin, C Touzé - Meccanica, 2021 - Springer
Quasi-periodic solutions can arise in assemblies of nonlinear oscillators as a consequence
of Neimark-Sacker bifurcations. In this work, the appearance of Neimark-Sacker bifurcations …

An improved quasi-zero stiffness vibration isolation system utilizing dry friction damping

A Donmez, E Cigeroglu, GO Ozgen - Nonlinear Dynamics, 2020 - Springer
Quasi-zero stiffness (QZS) isolators, a nonlinear vibration isolation technique, enhance the
isolation performance, by lowering the natural frequencies of an isolation system while …

The stability analysis of a two-spool rotor system undergoing rub-impact

K Prabith, IRP Krishna - Nonlinear Dynamics, 2021 - Springer
The main objective of the present paper is to determine the influence of rub parameters on
the stability of a two-spool rotor system undergoing rub-impact. The parameters such as …

A proper generalized decomposition-based harmonic balance method with arc-length continuation for nonlinear frequency response analysis

GY Lee, YH Park - Computers & Structures, 2023 - Elsevier
The objective of this study is to incorporate the proper generalized decomposition (PGD) into
the harmonic balance method (HBM) for an efficient numerical continuation of nonlinear …

Tracking amplitude extrema of nonlinear frequency responses using the harmonic balance method

G Raze, M Volvert, G Kerschen - International Journal for …, 2024 - Wiley Online Library
This work proposes a novel efficient method to track the evolution of amplitude extrema
featured by frequency responses of nonlinear systems using the harmonic balance method …

A harmonic balance approach with alternating frequency/time domain progress for piezoelectric mechanical systems

TC Yuan, J Yang, LQ Chen - Mechanical Systems and Signal Processing, 2019 - Elsevier
A semi-analytical approach based on harmonic balance (HB) method is proposed to predict
steady-state responses of nonlinear piezoelectric mechanical systems. In order to handle …

Period doubling bifurcation analysis and isolated sub-harmonic resonances in an oscillator with asymmetric clearances

R Alcorta, S Baguet, B Prabel, P Piteau… - Nonlinear …, 2019 - Springer
In this paper, a frequency-domain characterization of the period doubling bifurcation is
proposed. This allows an efficient detection and localization of such points along frequency …

A robust and efficient stability analysis of periodic solutions based on harmonic balance method and Floquet-Hill formulation

J Wu, L Hong, J Jiang - Mechanical Systems and Signal Processing, 2022 - Elsevier
Harmonic balance method (HBM) incorporated with arc-length continuation and Floquet-Hill
formulation now becomes an essential and strong tool for computing periodic solution …