Publication: Design of 2d-lattice plates by weight efficiency
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Issued Date
2021-11-30
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ISSN
01258281
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2-s2.0-85120712878
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Mahidol University
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SCOPUS
Bibliographic Citation
Engineering Journal. Vol.25, No.11 (2021), 13-31
Suggested Citation
Pana Suttakul, Ekachai Chaichanasiri, Pruettha Nanakorn Design of 2d-lattice plates by weight efficiency. Engineering Journal. Vol.25, No.11 (2021), 13-31. doi:10.4186/ej.2021.25.11.13 Retrieved from: https://repository.li.mahidol.ac.th/handle/123456789/76922
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Title
Design of 2d-lattice plates by weight efficiency
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Abstract
In this study, a method to design 2D-lattice plates, based on their weight efficiency, is proposed. The 2D-lattice plates considered in this study are made up of Euler-Bernoulli beams and can be modeled as homogeneous orthotropic Kirchhoff plates, derived by the strain-energy-based homogenization method. The weight efficiency of 2D-lattice plates is evaluated using relationships between their effective rigidities and area weight densities. The proposed design method is developed with these relationships. The closed-form effective rigidities of 2D-lattice plates, derived by the strain-energy-based homogenization method, are utilized as convenient design formulas for the proposed design method. A generic symbolic finite element program, written in MATLAB, is used to determine the closed-form solutions of effective properties that include the effective elastic constants, the effective rigidities, and the relationships between the effective rigidities and the area weight densities of 2D-lattice plates. Example design graphs, created by the obtained closed-form solutions, for 2D-lattice plates with different unit cells are presented and discussed. In addition, the usefulness of the obtained weight efficiency is also demonstrated via analysis of 2D-lattice plates with different unit-cell patterns.