Structure damping of thin-walled composite one-cell beams
Ren Yong-sheng1； Du Xiang-hong1； Sun Shuang-shuang2； Teng Xiang-meng1
1. College of Mechanical and Electronic Engineering, Shandong University of Science &Technology Qindao, China, 266510; 2. Qingdao University of Science &Technology Qingdao, China, 266061
Abstract：This paper presents a theoretical study of the damping of thin-walled composite one-cell beams.The equations of motion of the beams are derived using Hamilton’s principle. A variational asymptotically approach(VAM) is employed in the cross-sectional analysis. The Galerkin’s method is used in order to solve the coupled differential equations. Analytical formulas of the modal damping of the beam are derived on the basis of maximum strain energy theory. Comparison of the theoretical solutions has been made with the results obtained from the finite element method. Numerical results are obtained for two box beams: Circumferentially Uniform Stiffness(CUS) and Circumferentially Antisymmetric Stiffness (CAS), and one airfoil profile beam, respectively. The effects of fiber orientations, box section aspect ratio and length aspect ratio on modal damping are investigated.
2012, Vol. 31 
