Modeling suspension bridges through the von Karman quasilinear plate equations

被引：17

作者：

Gazzola, Filippo ^{[1
]}

Wang, Yongda ^{[1
]}

机构：

[1] Politecn Milan, Dipartimento Matemat, Milan, Italy

来源：

CONTRIBUTIONS TO NONLINEAR ELLIPTIC EQUATIONS AND SYSTEMS | 2015年 / 86卷

关键词：

THIN ELASTIC PLATE; RECTANGULAR PLATE; OSCILLATIONS;

D O I：

10.1007/978-3-319-19902-3_18

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A rectangular plate modeling the deck of a suspension bridge is considered. The plate may widely oscillate, which suggests to consider models from nonlinear elasticity. The von Kármán plate model is studied, complemented with the action of the hangers and with suitable boundary conditions describing the behavior of the deck. The oscillating modes are determined in full detail. Existence and multiplicity of static equilibria are then obtained under different assumptions on the strength of the buckling load. © 2015, Springer International Publishing Switzerland.

引用

页码：269 / 297

页数：29

共 43 条

[1] Bending and stretching energies in a rectangular plate modeling suspension bridges [J].