We, the authors, came to Harmonic Balance independent of each other, but in the same way. We were each faced with the task to develop a tool for predicting the nonlinear …
Y Mikhlin, KV Avramov - Applied …, 2023 - asmedigitalcollection.asme.org
This paper contains review of the theory and applications of nonlinear normal modes, which are developed during last decade. This review has more than 200 references. It is a …
Jointed structures are ubiquitous constituents of engineering systems; however, their dynamic properties (eg, natural frequencies and damping ratios) are challenging to identify …
JH Porter, MRW Brake - Mechanical Systems and Signal Processing, 2023 - Elsevier
Bolted connections are ubiquitous in mechanical designs and pose a significant challenge to understanding and predicting the vibration response of assembled structures. The present …
The concept of nonlinear modes is useful for the dynamical characterization of nonlinear mechanical systems. While efficient and broadly applicable methods are now available for …
Under static dry friction, the tangential friction force (residual traction) is non-unique within the Coulomb's limits. The actual value of the residual traction depends on the load history …
M Jin, G Kosova, M Cenedese, W Chen, A Singh… - … Systems and Signal …, 2022 - Elsevier
The dynamic responses of assembled structures are greatly affected by the mechanical joints, which are often the cause of nonlinear behavior. To better understand and, in the …
Friction interfaces are unavoidable components of large engineering assemblies since they enable complex designs, ensure alignment, and enable the transfer of mechanical loads …
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 …