Non-monotonic dynamics (mixed hardening/softening) in nonlinear continuous structures: An asymptotic formulation

F Lan, T Guo - Nonlinear Dynamics, 2024 - Springer
Non-monotonic dynamics of nonlinear continuous structures, ie, mixed hardening
(H)/softening (S) behavior in the vicinity of H/S transition, is comprehensively investigated by …

Softening/hardening dynamics of beam resting on generalized nonlinear foundation with a linear stiffening effect

F Lan, T Guo, W Qiao, H Kang - Communications in Nonlinear Science and …, 2023 - Elsevier
An asymptotic study of softening/hardening dynamics of beam on a generalized nonlinear
foundation is presented, by focusing on its linear stiffening effect on quadratic/cubic …

Extraordinary frequency stabilization by resonant nonlinear mode coupling

O Shoshani, S Strachan, D Czaplewski, D Lopez… - Physical Review …, 2024 - APS
We show that a self-sustained oscillator with a frequency-selective element operating with
two nonlinearly coupled modes can achieve a level of frequency stability well beyond that …

Locating dominant dynamics of curved structures: a refined classification of arch's hardening/softening behaviors

F Lan, T Guo, H Kang - Nonlinear Dynamics, 2025 - Springer
Competing mechanisms due to mechanical and geometrical effects can lead to intricate
nonlinear dynamics of curved structures like a shallow arch, eg, slenderness ratio ξ …

Shape optimization of a curved mechanical beam for transverse vibrations amplification via nonlinear interaction with longitudinal vibrations

S Rosenberg, O Shoshani - Journal of Sound and Vibration, 2025 - Elsevier
Nano-and micro-mechanical beams are widely used as resonators in research and
engineering applications. One of the key challenges of utilizing their immense potential is …

Finding an optimal shape of a curved mechanical beam for enhanced internal resonance

S Rosenberg, Y Feldman, O Shoshani - Nonlinear Dynamics, 2024 - Springer
One of the most interesting nonlinear phenomena of mode coupling is internal resonances,
which can promote directed energy transfer from one eigenmode to another, even at small …

Quantification of nonlinear output frequency responses for a general input based on volterra series and conditioned spectral analysis

W Liu, Y Zhang, S Jiao, J Wu, Y Yang - Nonlinear Dynamics, 2024 - Springer
This paper focuses on the issue of quantifying nonlinear output frequency response
components of different orders of nonlinear dynamical systems for a general excitation. An …

Characteristic analysis method for integrated multi-parameter hydro-viscous speed control system

Y Wang, K Ba, K Zhao, S Wang, B Yu, X Feng… - Scientific Reports, 2024 - nature.com
Hydro-viscous clutch has become an inevitable choice for special vehicle transmissions. As
a nonlinear dynamic system with large lagging link, its timing performance is affected by …