| Title:
|
Optimal design of an elastic beam with a unilateral elastic foundation: semicoercive state problem (English) |
| Author:
|
Šimeček, Roman |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
58 |
| Issue:
|
3 |
| Year:
|
2013 |
| Pages:
|
329-346 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
A design optimization problem for an elastic beam with a unilateral elastic foundation is analyzed. Euler-Bernoulli's model for the beam and Winkler's model for the foundation are considered. The state problem is represented by a nonlinear semicoercive problem of 4th order with mixed boundary conditions. The thickness of the beam and the stiffness of the foundation are optimized with respect to a cost functional. We establish solvability conditions for the state problem and study the existence of a solution to the optimization problem. (English) |
| Keyword:
|
shape optimization |
| Keyword:
|
semicoercive beam problem |
| Keyword:
|
unilateral foundation |
| MSC:
|
49J15 |
| MSC:
|
49K15 |
| MSC:
|
65K10 |
| MSC:
|
74B99 |
| MSC:
|
74K10 |
| MSC:
|
74P05 |
| idZBL:
|
Zbl 06221234 |
| idMR:
|
MR3066824 |
| DOI:
|
10.1007/s10492-013-0016-4 |
| . |
| Date available:
|
2013-05-17T10:45:58Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143281 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
|
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| . |
