Abstract
A non-deterministic analysis method of thin membrane dynamics is presented. The thin membrane is modeled based on the tension field theory, which represents wrinkling phenomenon as a compressive stress relaxation. The generalized α method is applied to formulate a numerical dynamic analysis of wrinkled membrane. A Monte-Carlo approach, where the probability distributions of uncertainties parameters contained in the membrane model are approximated by an ensemble set, is presented to evaluate statistical properties of membrane dynamics behaviors. A simple numerical example is presented to verify the effectiveness of the presented approach.
