Forced vibrations of an elasto-plastic and deteriorating beam. (English) Zbl 0627.73067
A solution method for elastoplastic vibrating beams including damage accumulation is shown, where inelastic behavior of the structure is represented by an additional loading due to sources of selfstresses acting upon the linear elastic structure of time-invariant stiffness. Response due to this additional loading is evaluated using proper Green functions. Thus, integral relations are set up, similar to Maysel’s formula. Theory is applied to a two span sandwich beam with elastoplastic degrading flanges and elastic core material.
MSC:
| 74H45 | Vibrations in dynamical problems in solid mechanics |
| 74C99 | Plastic materials, materials of stress-rate and internal-variable type |
| 74K10 | Rods (beams, columns, shafts, arches, rings, etc.) |
Keywords:
elastoplastic vibrating beams; damage accumulation; inelastic behavior; additional loading; sources of selfstresses; linear elastic structure; time-invariant stiffness; Green functions; integral relationsReferences:
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