Damage Diagnosis for Elasto-Plastic Structures.
Technical rept. Jan-Dec 86,
NEW MEXICO UNIV ALBUQUERQUE DEPT OF MECHANICAL ENGINEERING
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The present report established a probabilistic characterization of a damaged structure, which is modeled as an nonlinear multi-degree-of-freedom MDF system. The random excitation maybe either stationary or nonstationary. The stiffness matrix is nonlinear to stimulate the elasto-plastic behavior of a damaged structure. The stiffness matrix is also random to characterize the material and environmental varations. The governing stochastic differential equation is resolved into one for the mean response and another for its random component. The respones, their statistical moments and cross-moments are solved with discrete-time recurrence formulations. The omission of the higher order terms in obtaining the response statistics is admissible if the stiffness does not behave extremely random. Both errors in the mean and variance responses, which arise from neglecting the higher order terms, are not small order. Keywords Elastomers Plastics Random Excitation Random stiffness Nonlinear elastoplastic Damage diagnosis.
- Elastomers and Rubber