Continuous elastic beams with unilateral rigid supports (Q802363)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Continuous elastic beams with unilateral rigid supports |
scientific article; zbMATH DE number 3890842
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Continuous elastic beams with unilateral rigid supports |
scientific article; zbMATH DE number 3890842 |
Statements
Continuous elastic beams with unilateral rigid supports (English)
0 references
1984
0 references
The paper deals with the nonlinear theory of a continuous elastic beam on unilateral rigid supports. The first studied beam is only a two-span scheme, but a generalization to the n-span case is given at the end of the paper. The cross-section is variable, its bending stiffness is discontinuous in a finite number of points. The loading consists of distributed forces, concentrated forces and couples. The equivalence of the problem with a weak differential problem and with a variational inequality is provided. The necessary conditions for the existence and uniqueness of a solution are found too. This is a demonstration that the mathematical model based on classical derivatives can be used to solve the cases of discrete loading on a continuous beam.
0 references
continuous elastic beam
0 references
unilateral rigid supports
0 references
two-span scheme
0 references
n- span case
0 references
cross-section is variable
0 references
bending stiffness is discontinuous
0 references
distributed forces
0 references
concentrated forces
0 references
couples
0 references
weak differential problem
0 references
variational inequality
0 references
necessary conditions
0 references
existence
0 references
uniqueness
0 references
