### Abstract

In the recent paper we answered the question of stability for the nonlinear beam which is being axially compressed by a force greater than the critical value and contacts a plane obstacle. The basic idea was to consider the free boundary problem in the interval in which the beam is not in contact with the obstacle. In this work we consider the analogous problem for the linear circular plate. Numerical computations are crucial here to establish conditions essential for the problem of stability and they also yield the critical parameter values, i. e. , the secondary bifurcation points.

Original language | English (US) |
---|---|

Pages (from-to) | 240-250 |

Number of pages | 11 |

Journal | Mathematical Methods in the Applied Sciences |

Volume | 9 |

Issue number | 2 |

State | Published - 1987 |

### Fingerprint

### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics

### Cite this

*Mathematical Methods in the Applied Sciences*,

*9*(2), 240-250.

**FREE BOUNDARY PROBLEM AND STABILITY FOR THE CIRCULAR PLATE.** / Miersemann, E.; Mittelmann, Hans.

Research output: Contribution to journal › Article

*Mathematical Methods in the Applied Sciences*, vol. 9, no. 2, pp. 240-250.

}

TY - JOUR

T1 - FREE BOUNDARY PROBLEM AND STABILITY FOR THE CIRCULAR PLATE.

AU - Miersemann, E.

AU - Mittelmann, Hans

PY - 1987

Y1 - 1987

N2 - In the recent paper we answered the question of stability for the nonlinear beam which is being axially compressed by a force greater than the critical value and contacts a plane obstacle. The basic idea was to consider the free boundary problem in the interval in which the beam is not in contact with the obstacle. In this work we consider the analogous problem for the linear circular plate. Numerical computations are crucial here to establish conditions essential for the problem of stability and they also yield the critical parameter values, i. e. , the secondary bifurcation points.

AB - In the recent paper we answered the question of stability for the nonlinear beam which is being axially compressed by a force greater than the critical value and contacts a plane obstacle. The basic idea was to consider the free boundary problem in the interval in which the beam is not in contact with the obstacle. In this work we consider the analogous problem for the linear circular plate. Numerical computations are crucial here to establish conditions essential for the problem of stability and they also yield the critical parameter values, i. e. , the secondary bifurcation points.

UR - http://www.scopus.com/inward/record.url?scp=0023208856&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0023208856&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0023208856

VL - 9

SP - 240

EP - 250

JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

SN - 0170-4214

IS - 2

ER -