Nonlinear dynamic analysis of creased shells
Recent studies analyze the behavior of advanced shell structures, like foldable, multistable or morphing shell structures. Simulating a thin foldable curved structure is not a trivial task: the structure may go through many snapping transitions from a stable configuration to another. Then, one could...
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| Published in: | Finite elements in analysis and design Vol. 121; pp. 64 - 74 |
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15-11-2016
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| Abstract | Recent studies analyze the behavior of advanced shell structures, like foldable, multistable or morphing shell structures. Simulating a thin foldable curved structure is not a trivial task: the structure may go through many snapping transitions from a stable configuration to another. Then, one could claim arc-length methods or use a dynamic approach to perform such simulations. This work presents a geometrically exact shell model for nonlinear dynamic analysis of shells. An updated Lagrangian framework is used for describing kinematics. Several numerical examples of folding a thin dome are presented, including creased shells. The triangular shell finite element used offers great flexibility for the generation of the unstructured curved meshes, as well as great results.
•A geometrically exact shell model for nonlinear dynamic analysis is proposed.•The kinetic energy variation for the weak form is fully developed.•The full linearization related to the kinetic energy term is obtained.•Simulations of folding thin creased domes are presented. |
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| AbstractList | Recent studies analyze the behavior of advanced shell structures, like foldable, multistable or morphing shell structures. Simulating a thin foldable curved structure is not a trivial task: the structure may go through many snapping transitions from a stable configuration to another. Then, one could claim arc-length methods or use a dynamic approach to perform such simulations. This work presents a geometrically exact shell model for nonlinear dynamic analysis of shells. An updated Lagrangian framework is used for describing kinematics. Several numerical examples of folding a thin dome are presented, including creased shells. The triangular shell finite element used offers great flexibility for the generation of the unstructured curved meshes, as well as great results.
•A geometrically exact shell model for nonlinear dynamic analysis is proposed.•The kinetic energy variation for the weak form is fully developed.•The full linearization related to the kinetic energy term is obtained.•Simulations of folding thin creased domes are presented. |
| Author | Gay Neto, A. Wilson, L. Pellegrino, S. Ota, N.S.N. Pimenta, P.M. |
| Author_xml | – sequence: 1 givenname: N.S.N. surname: Ota fullname: Ota, N.S.N. email: nadia.ota@usp.br organization: Polytechnic School at University of São Paulo, São Paulo, Brazil – sequence: 2 givenname: L. surname: Wilson fullname: Wilson, L. email: lwilson@caltech.edu organization: Graduate Aerospace Laboratories, California Institute of Technology, 1200 E. California Blvd, Pasadena, CA 91125, United States – sequence: 3 givenname: A. surname: Gay Neto fullname: Gay Neto, A. email: alfredo.gay@usp.br organization: Polytechnic School at University of São Paulo, São Paulo, Brazil – sequence: 4 givenname: S. surname: Pellegrino fullname: Pellegrino, S. email: sergiop@caltech.edu organization: Graduate Aerospace Laboratories, California Institute of Technology, 1200 E. California Blvd, Pasadena, CA 91125, United States – sequence: 5 givenname: P.M. surname: Pimenta fullname: Pimenta, P.M. email: ppimenta@usp.br organization: Polytechnic School at University of São Paulo, São Paulo, Brazil |
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| Keywords | Shells Triangular finite element Foldable curved structures Dynamic analysis |
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| Title | Nonlinear dynamic analysis of creased shells |
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