Transverse vibration analysis for partly wrinkled membranes

The development is reported of a membrane-based wrinkle algorithm to analyze the transverse vibration behavior of partly wrinkled, annular, and three-sided membranes. This membrane-based wrinkle algorithm was implemented in the nonlinear finite element code ABAQUS, providing implementation of a true membrane constitutive model. First, the models were validated either with analytical solutions or experimental results. Then, the transverse vibration behavior of unwrinkled membrane models was studied. Finally, the presented constitutive model was incorporated in ABAQUS to inspect how wrinkling affects the vibration behavior of membranes. The frequency and mode shapes were investigated between the unwrinkled and wrinkled membranes. It was observed that even small amounts of wrinkling can significantly affect the modal frequencies of membranes. We offer physical explanation for these results.