Periodic Solution for Strongly Nonlinear Oscillators by He’s New Amplitude–Frequency Relationship
Sign Up to like & getrecommendations! Published in 2017 at "International Journal of Applied and Computational Mathematics"
DOI: 10.1007/s40819-017-0414-5
Abstract: This paper applies He’s new amplitude–frequency relationship recently established by He (Int J Appl Comput Math 3(2):1557–1560, 2017. doi:10.1007/s40819-016-0160-0) to study periodic solutions of strongly nonlinear systems with odd nonlinearities. Some examples are given to… read more here.
Keywords: strongly nonlinear; amplitude frequency; new amplitude; frequency relationship ... See more keywords
The effective conductivity of strongly nonlinear media: The dilute limit
Sign Up to like & getrecommendations! Published in 2020 at "International Journal of Solids and Structures"
DOI: 10.1016/j.ijsolstr.2019.06.006
Abstract: Abstract This work is a combined numerical and analytical investigation of the effective conductivity of strongly nonlinear media in two dimensions. The nonlinear behavior is characterized by a threshold value for the maximal absolute current.… read more here.
Keywords: conductivity strongly; strongly nonlinear; nonlinear media; effective conductivity ... See more keywords
Modified multiple time scale method for solving strongly nonlinear damped forced vibration systems
Sign Up to like & getrecommendations! Published in 2018 at "Results in physics"
DOI: 10.1016/j.rinp.2017.12.015
Abstract: Abstract In this paper, modified multiple time scale (MTS) method is employed to solve strongly nonlinear forced vibration systems. The first-order approximation is only considered in order to avoid complexicity. The formulations and the determination… read more here.
Keywords: forced vibration; strongly nonlinear; multiple time; method ... See more keywords
An elliptic problem with strongly nonlinear interface condition
Sign Up to like & getrecommendations! Published in 2020 at "Applicable Analysis"
DOI: 10.1080/00036811.2018.1504026
Abstract: ABSTRACT We consider a system of partial differential equations arising in the modelling of the electrochemical processes in Li-ion batteries. In this simplification, it consists of two elliptic equations in two domains separated by an… read more here.
Keywords: elliptic problem; nonlinear interface; strongly nonlinear; condition ... See more keywords
Topological protection in a strongly nonlinear interface lattice
Sign Up to like & getrecommendations! Published in 2021 at "Physical Review B"
DOI: 10.1103/physrevb.104.174306
Abstract: Mechanical topological insulators are well understood for linear and weakly nonlinear systems, however traditional analysis methods break down for strongly nonlinear systems since linear methods can not be applied in that case. We study one… read more here.
Keywords: strongly nonlinear; system; lattice; interface ... See more keywords
Strongly nonlinear wave dynamics of continuum phononic materials with periodic rough contacts.
Sign Up to like & getrecommendations! Published in 2022 at "Physical review. E"
DOI: 10.1103/physreve.105.024201
Abstract: We investigate strongly nonlinear wave dynamics of continuum phononic material with discrete nonlinearity. The studied phononic material is a layered medium such that the elastic layers are connected through contact interfaces with rough surfaces. These… read more here.
Keywords: wave dynamics; continuum phononic; dynamics continuum; strongly nonlinear ... See more keywords
Interband targeted energy transfer, wave arrest, and redirection in phononic lattices with strongly nonlinear local resonators.
Sign Up to like & getrecommendations! Published in 2025 at "Physical review. E"
DOI: 10.1103/physreve.111.044213
Abstract: Intentionally introducing nonlinearity into phononic metamaterials has facilitated the development of novel passive elastoacoustic devices (e.g., diodes and nonlinear waveguides). The performance of these devices is primarily governed by the capability of the metamaterial to… read more here.
Keywords: strongly nonlinear; energy; energy transfer; nonlinear local ... See more keywords
From weakly to strongly nonlinear viscous drop shape oscillations: An analytical and numerical study
Sign Up to like & getrecommendations! Published in 2024 at "Physical Review Fluids"
DOI: 10.1103/physrevfluids.9.063601
Abstract: Nonlinear axisymmetric shape oscillations of a Newtonian drop in a vacuum are investigated using two different theoretical methods, for fundamental interest and for the significance of the oscillations in transport processes across the drop surface.… read more here.
Keywords: drop; strongly nonlinear; deformation; weakly strongly ... See more keywords
Random vibration of strongly nonlinear system with fractional derivative
Sign Up to like & getrecommendations! Published in 2025 at "International Journal of Structural Stability and Dynamics"
DOI: 10.1142/s0219455427501641
Abstract: Most systems in practice have fractional characteristics, and it is necessary to use Fractional Derivatives (FDs) to model the system. Unfortunately, due of the memory effect of FD, solving fractional-order systems is challenging, particular for… read more here.
Keywords: equation; system; strongly nonlinear; vibration strongly ... See more keywords
Robust computational methods for solving strongly nonlinear initial value problems in combustion and astrophysics
Sign Up to like & getrecommendations! Published in 2025 at "International Journal of Computational Methods"
DOI: 10.1142/s0219876225500690
Abstract: In this study, we propose two robust computational schemes for solving the well-known strongly nonlinear Bratu and Lane-Emden type equations, with applications to combustion and astrophysics. The proposed quasilinearized Picard iteration method (QPIM) combines the… read more here.
Keywords: strongly nonlinear; computational methods; combustion astrophysics; astrophysics ... See more keywords