Nonlinear analysis and vibro-impact characteristics of a shaft-bearing assembly
BE Saunders, RJ Kuether, R Vasconcellos… - International Journal of …, 2024 - Elsevier
This study investigates the nonlinear frequency response of a shaft-bearing assembly with
vibro-impacts occurring at the bearing clearances. The formation of nonlinear behavior as …
vibro-impacts occurring at the bearing clearances. The formation of nonlinear behavior as …
Describing function method with pointwise balancing in two-dimensional regularized time domain for quasi-periodic responses
Z Zheng, Z Lu, J Liu, Y Chen - Journal of Sound and Vibration, 2023 - Elsevier
This paper proposes a new semi-analytical approach, called as describing function method
with pointwise balancing (DFPB), to solve quasi-periodic (QP) responses of nonlinear …
with pointwise balancing (DFPB), to solve quasi-periodic (QP) responses of nonlinear …
A universal phase condition in solving quasi-periodic responses with multiple self-excited fundamental frequencies
Z Zheng, Z Lu, J Liu, Y Chen - Communications in Nonlinear Science and …, 2023 - Elsevier
Solving quasi-periodic (QP) responses of nonlinear dynamical systems, particularly when
multiple self-excited fundamental frequencies have to be determining, has been a …
multiple self-excited fundamental frequencies have to be determining, has been a …
The Singularity of Expanded Jacobian Matrix in Incremental Harmonic Balance Method Directly Locates Bifurcation Points of Steady-State Responses
YM Chen, JK Liu - Journal of Computational and …, 2023 - asmedigitalcollection.asme.org
As a semi-analytical approach, the incremental harmonic balance (IHB) method is widely
implemented for solving steady-state (including both periodic and quasi-periodic) responses …
implemented for solving steady-state (including both periodic and quasi-periodic) responses …
The Singularity of Expanded Jacobian Matrix in IHB Method Directly Locates Bifurcation Points of Steady State Responses
YM Chen, JK Liu - Journal of Computational and …, 2023 - asmedigitalcollection.asme.org
As a semi-analytical approach, the incremental harmonic balance (IHB) method is widely
implemented for solving steady state (including both periodic and quasi-periodic) responses …
implemented for solving steady state (including both periodic and quasi-periodic) responses …
The phase transition of covariant Lyapunov vector precisely locates a stability reversal of quasi-periodic response
L Cao, J Liu, Y Chen - Journal of Computational …, 2025 - asmedigitalcollection.asme.org
Assessing the stability of quasi-periodic (QP) response is crucial, as the bifurcation of QP
response is usually accompanied by a stability reversal. The largest Lyapunov exponent …
response is usually accompanied by a stability reversal. The largest Lyapunov exponent …