Mathematical Models for Damageable Structures.

摘要

The reliability of a structural system at a particular time depends on the damage level in the system. When the damage level exceeds a critical value, then failure occurs. Therefore, it is important to track the damage in a structure. In the present investigation some basic models are proposed for the study of damageable structure response. The models are: a higher order linear differential equation with constant coefficients, and a second order linear differential equation with time varying coefficients. Using a digital computer a blast is simulated, and the response of an inelastic structure is computed. Noise signals are added to these and the results are used to simulate measured input and response. Next, using the simulated input and response, the parameters of the linear models are identified and the linear structure responses are computed. Measures of these responses, including peak displacement and energy dissipated are compared to the simulated response. It is shown that the models accurately simulate inelastic structure response. Moreover, the results of some experiments are included. The experiments show that the energy dissipated in a material specimen is related to the damage level. (Author)