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
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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
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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