THE NONLINEAR BEAM VIA OPTIMAL-CONTROL WITH BOUNDED STATE VARIABLES

被引：13

作者：

MAURER, H ^{[1
]}

MITTELMANN, HD ^{[1
]}

机构：

[1] ARIZONA STATE UNIV,DEPT MATH,TEMPE,AZ 85287

来源：

OPTIMAL CONTROL APPLICATIONS & METHODS | 1991年 / 12卷 / 01期

关键词：

NONLINEAR BEAM; STATE INEQUALITY CONSTRAINTS; BOUNDARY VALUE PROBLEMS; MULTIPLE SHOOTING; BIFURCATION ANALYSIS;

D O I：

10.1002/oca.4660120103

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The non-linear beam with bounded deflection is considered as an optimal control problem with bounded state variables. The theory of necessary optimality conditions leads to boundary value problems with jump conditions which are solved by multiple-shooting techniques. A branching analysis is performed which exhibits the different solution structures. In particular, the second bifurcation point is determined numerically. The bifurcation diagram reveals a hysteresis-like behaviour and explains the jumping to a different state at this bifurcation point.

引用

页码：19 / 31

页数：13

共 21 条

[11]

MAURER H, 1979, SCHRIFTENREIHE RECHE, V41

[12]

MAURER H, 1975, LECT NOTES MATH, V477, P244

[13] BIFURCATION IN VARIATIONAL-INEQUALITIES WITH AN APPLICATION TO THE BUCKLING OF THE BEAM WITH UNILATERAL CONDITIONS [J].