VIBRATIONS ANALYSIS OF BUCKLING MEMBRANE

Nonlinear large deformation buckling analysis is an effective method dealing with membrane wrinkle problems. Two key issues of this method, the introduction of original flaw and the follow of post-buckling balance path, are discussed in this paper. According to this method, wrinkles of shear membrane are analyzed. Based on wrinkle configuration, modal analysis is performed with the consideration of the large deformation. The result indicates that the modal and natural frequency of the membrane with wrinkles are obvious different from the membrane without wrinkles. The natural frequency is decrease sharply; the position of pitch lines are that of tensile lines, and the number of pitch lines is decrease as mode increased. The analytical process established in the paper can be used for membrane wrinkles prediction and dynamic characteristics analysis with wrinkles.