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 …
(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 …
foundation is presented, by focusing on its linear stiffening effect on quadratic/cubic …
Extraordinary frequency stabilization by resonant nonlinear mode coupling
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 …
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 …
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 …
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
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 …
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 …
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 …
a nonlinear dynamic system with large lagging link, its timing performance is affected by …