Bulk strain solitons in a cylindrical shell

Author

Dreiden, G.V. ; Samsonov, A.M. ; Semenova, I.V. ; Shvartz, A.G.

Author_Institution

A.F. Ioffe Phys. Tech. Inst., St. Petersburg, Russia

fYear

2014

fDate

26-30 May 2014

Firstpage

69

Lastpage

75

Abstract

A mathematical model is proposed to describe longitudinal waves in the nonlinearly elastic thin-walled cylindrical shell. In the framework of the model equation of motion for the longitudinal displacement is derived. In the case of the homogeneous shell this equation has the form of the double dispersive equation (DDE) for the linear longitudinal strain component and has a solitary wave solution. Dependence of the parameters of this solution on the elastic and geometric properties of the shell is studied. Results of the experimental observation of the bulk strain soliton in a dust-like shell are presented, and estimation of the wave amplitude and speed is provided. A numerical simulation is performed to study evolution of the strain soliton in a cylindrical shell with variation of cross section.

Keywords

elastic waves; numerical analysis; shells (structures); solitons; thin wall structures; bulk strain soliton; cylindrical shell; double dispersive equation; dust-like shell; elastic properties; geometric properties; linear longitudinal strain component; longitudinal displacement; longitudinal waves; mathematical model; nonlinearly elastic thin-walled cylindrical shell; numerical simulation; solitary wave solution; wave amplitude; wave speed; Diffraction; Dispersion; Equations; Mathematical model; Solitons; Strain; Stress;

fLanguage

English

Publisher

ieee

Conference_Titel

Days on Diffraction (DD), 2014

Conference_Location

St. Petersburg

Print_ISBN

978-1-4799-7331-6

Type

conf

DOI

10.1109/DD.2014.7036426

Filename

7036426