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This and the next 3 images are from:
Lei Zhang (1), Aimin Ji (1), Weidong Zhu (2), and Liping Peng (3)
(1) College of Mechanical and Electrical Engineering, Hohai University, Changzhou 213022, China
(2) Department of Mechanical Engineering, University of Maryland, Baltimore County, MD 21250, USA
(3) State Key Laboratory of Mineral Processing, Beijing General Research Institute of Mining and Metallurgy,
Beijing 102600, China
“On the Identification of Sectional Deformation Modes of Thin-Walled Structures with Doubly Symmetric Cross-Sections Based on the Shell-Like Deformation”, Symmetry, Vol. 10, pp 759-, 2018
ABSTRACT: In this paper, a new approach is proposed to identify sectional deformation modes of the doubly symmetric thin-walled cross-section, which are to be employed in formulating a one- dimensional model of thin-walled structures. The approach considers the three-dimensional displacement field of the structure as the linear superposition of a set of sectional deformation modes. To retrieve these modes, the modal analysis of a thin-walled structure is carried out based on shell/plate theory, with the shell-like deformation shapes extracted. The components of classical modes are removed from these shapes based on a novel criterion, with residual deformation shapes left. By introducing benchmark points, these shapes are further classified into several deformation patterns, and within each pattern, higher-order deformation modes are derived by removing the components of identified ones. Considering the doubly symmetric cross-section, these modes are approximated with shape functions applying the interpolation method. The identified modes are finally used to deduce the governing equations of the thin-walled structure, applying Hamilton’s principle. Numerical examples are also presented to validate the accuracy and efficiency of the new model in reproducing three-dimensional behaviors of thin-walled structures.
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