Ventricular Assist and Total Artificial Heart Devices for Clinical Use in 1993

Chaotic Behavior Resulting in Transient and Steady State Instabilities of Pressure-Loaded Shallow Spherical Shells

“…Although the analysis of shells under harmonic loading provides an understanding of the resonant behavior, it may also provide a basis for analyzing the response to other types of periodic loads, and in some aspects, under other types of time varying load. This may have importance, for example, when analyzing the failure of shell structures under wind loading [33]; and in the dynamic analysis of shallow spherical shells, in the context of biomedical engineering, where they have been used in ventricular assist devices [34,35]. Here, a shallow elastic spherical cap separates the blood chamber from the pneumatic chamber and is subjected to a periodic loading; where the snap-through phenomenon is responsible for the desired blood flow.…”