Dynamic shakedown of structures with variable appended masses and subjected to repeated excitations
Elastic shakedown for discrete, or finite-element discretized, structures subjected to combinations of static and time-variable loads is addressed in the hypothesis of elastic-perfectly plastic material behavior. It is shown that, in the plane of the static and time-variable load parameters, the structure's dynamic shakedown domain is nonconvex and that its boundary curve generally exhibits local minima and maxima at those static load values at which a resonant and anti-resonant structural behavior, respectively, occurs. It is also shown that, for static loads close to the resonant behavior values, the shakedown limit load can be sensibly smaller than the value computed without taking the appended mass into account. The problem of evaluating the shakedown limit load is discussed, and a numerical example is presented.
resonant and anti-resonant structural behavior
scientific article; zbMATH DE number 955292