Chaotic Dynamics of Elastic-Plastic Beams
Abstract
During the last decades great attention has been turned to chaotic vibrations of elastic beams, but not much has been done in the case of elastic-plastic deformations. Evidently the first paper in this field belongs to Symonds and Yu (1985), who considered the following problem. A fixed ended beam is subjected to short intensive pulse of transverse loading that produces plastic deformation. Since the ends of the beam are fixed membrane forces must be taken into account. Solving the equations of motion Symonds and Yu found that permanent deflection may be in direction opposite to the load. This phenomenon was investigated in several papers by Symonds and his collaborators. It turned out that the permanent deflection is very sensitive to small changes of load. Fractality and self-similarity which are characteristic to chaotic processes, were demonstrated. For the similarity dimension the value 0,78 and for the correlation fractal dimension ^1,44 were obtained.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 2000
- Accession Number
- ADP010921
Entities
People
- Ulo Lepik
Organizations
- University of Tartu