Large deformation solutions to post-buckled beams confined by movable and flexible constraints: A static and dynamic analysis
Autor: | Pengcheng Jiao, Nizar Lajnef, Wassim Borchani |
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Rok vydání: | 2017 |
Předmět: |
Timoshenko beam theory
Engineering Large deformation business.industry Applied Mathematics Mechanical Engineering Mode (statistics) 02 engineering and technology Structural engineering 021001 nanoscience & nanotechnology Condensed Matter Physics Moduli 020303 mechanical engineering & transports 0203 mechanical engineering Buckling Mechanics of Materials Modeling and Simulation Energy method General Materials Science Minification 0210 nano-technology business Parametric statistics |
Zdroj: | International Journal of Solids and Structures. 128:85-98 |
ISSN: | 0020-7683 |
Popis: | This paper develops a static and dynamic large deformation model to investigate the post-buckling response of slender beams constrained by movable and flexible bilateral confinements. A novel discretization algorithm is proposed to convert the irregular constraints into gap vectors. Governing equations are formulated based on the Euler-Bernoulli beam theory. An energy method is presented to solve the equations using a modified Nelder–Mead algorithm. A constrained minimization of the total energy is carried out with respect to the gap vectors. The theoretical results of the proposed model, i.e., the deformed beam shape configuration and force-displacement relationship, are compared with existing studies and experiments. The regularly and movably constrained, static model is compared with the existing small and large deformation models, respectively. The regularly and flexibly confined, dynamic model is compared with experiments. Satisfactory agreements are observed. Parametric studies are conducted to investigate the post-buckling response in terms of loading and constraints conditions. In particular, the loading condition is first examined by changing the loading frequency. The highest achievable buckling mode is then studied with respect to the Young's moduli ratios of movable constraints-to-beam and flexible constraints-to-beam, respectively, and the ratio of walls gap-to-beam length. The proposed theoretical models are effective in understanding and predicting the static and dynamic post-buckling response of beams constrained by movable and flexible confinements. |
Databáze: | OpenAIRE |
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