ENERGY CONSERVATIVE FINITE ELEMENT SEMI-DISCRETIZATION FOR VIBRO-IMPACTS OF PLATES ON RIGID OBSTACLES

被引：0

作者：

Pozzolini, Cedric ^{[1
]}

Renard, Yves ^{[1
]}

Salaun, Michel ^{[2
]}

机构：

[1] Univ Lyon, CNRS, INSA Lyon, ICJ UMR5208,LaMCoS UMR5259, F-69621 Villeurbanne, France

[2] Univ Toulouse, CNRS, ISAE SUPAERO, ICA, F-31077 Toulouse 4, France

来源：

ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS | 2016年 / 50卷 / 06期

关键词：

Variational inequalities; finite element method; elastic plates; dynamics; unilateral constraints; MASS REDISTRIBUTION METHOD; CONTACT PROBLEMS; DYNAMIC CONTACT; NUMERICAL-SIMULATION; CONVERGENCE; BEAM; VIBRATIONS; SCHEME;

D O I：

10.1051/m2an/2015094

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Our purpose is to describe and compare some families of fully discretized approximations and their properties, in the case of vibro-impact of plates between rigid obstacles with non-penetration Signorini's conditions. To this aim, the dynamical Kirchhoff-Love plate model is considered and an extension to plates of the singular dynamic method, introduced by Renard and previously adapted to beams by Pozzolini and Salaun, is described. A particular emphasis is given in the use of an adapted Newmark scheme in which intervene a discrete restitution coefficient. Finally, various numerical results are presented and energy conservation capabilities of several numerical schemes are investigated and discussed.

引用

页码：1585 / 1613

页数：29

共 7 条

[1] SOME ENERGY CONSERVATIVE SCHEMES FOR VIBRO-IMPACTS OF A BEAM ON RIGID OBSTACLES
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