Analytical Formulation of Damped Stress-strain Relations Based on Experimental Data with Applications to Vibrating Structures

Résumé du livre

The analytical technique of describing material damping by elliptical hysteresis loops was applied to experimental damping data to produce damped, stress-strain relations. The objective of this approach is to produce an easily tractable mathematical description of the stress-strain relation which at the same time adheres closely to experimentally observed behavior. An extension of this development to the biaxial stress case is also demonstrated, although certain special assumptions concerning the role of distortional and dilatational strain energies are necessary in order to achieve this. An example application to the flexural vibration of a cantilever beam is shown to illustrate the aforementioned properties.