naa a22 4500 510774202 CHVBK 20180411083225.0 cr unu---uuuuu 180411e20131201xx s 000 0 eng 10.1007/s40295-015-0062-0 doi (NATIONALLICENCE)springer-10.1007/s40295-015-0062-0 Dynamics of a Slender Spinning Membrane [Elektronische Daten] [Jer-Nan Juang, Chung-Han Hung, William Wilkie] A novel approach is introduced to conduct dynamic analysis of a spinning, high aspect ratio membrane. In this formulation, an inextensible, long, slender membrane is modeled using a discrete set of lumped masses. Lagranges equations are used to derive the highly coupled ordinary differential equations for in-plane, out-of-plane, and twisting motions for the spinning membrane. The generalized and uncoupled linear equations for small motion are used to compute the vibration mode frequencies which are compared to results from an uncoupled analysis of blade motion using rotor dynamics. Linearized behavior is shown to reduce to the linearized solutions for the spinning membrane blade developed by MacNeal. Numerical simulations along with 3-D animations are used to study the linear and nonlinear uncoupled dynamics of the spinning membrane. American Astronautical Society, 2015 Heliogyro solar sail nationallicence Spinning membrane nationallicence Structural dynamics nationallicence Juang Jer-Nan Department of Engineering Science, National Cheng Kung University, Tainan City, Taiwan aut Hung Chung-Han Department of Engineering Science, National Cheng Kung University, Tainan City, Taiwan aut Wilkie William Structural Dynamics Branch, NASA Langley Research Center, Hampton, VA, USA aut The Journal of the Astronautical Sciences Springer US; http://www.springer-ny.com 60/3-4(2013-12-01), 494-516 0021-9142 60:3-4<494 2013 60 40295 https://doi.org/10.1007/s40295-015-0062-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s40295-015-0062-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Juang Jer-Nan Department of Engineering Science, National Cheng Kung University, Tainan City, Taiwan aut NATIONALLICENCE 700 1- Hung Chung-Han Department of Engineering Science, National Cheng Kung University, Tainan City, Taiwan aut NATIONALLICENCE 700 1- Wilkie William Structural Dynamics Branch, NASA Langley Research Center, Hampton, VA, USA aut NATIONALLICENCE 773 0- The Journal of the Astronautical Sciences Springer US; http://www.springer-ny.com 60/3-4(2013-12-01), 494-516 0021-9142 60:3-4<494 2013 60 40295 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer