Design of 2D-Lattice Plates by Weight Efficiency

Authors

  • Pana Suttakul Thammasat University
  • Ekachai Chaichanasiri Mahidol University
  • Pruettha Nanakorn Thammasat University

DOI:

https://doi.org/10.4186/ej.2021.25.11.13

Keywords:

2D-lattice plate, weight efficiency, effective rigidity, homogenization, closed-form solution

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.

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Author Biographies

Pana Suttakul
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School of Civil Engineering and Technology, Sirindhorn International Institute of Technology, Thammasat University, Pathumthani, Thailand

Ekachai Chaichanasiri
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Department of Mechanical Engineering, Faculty of Engineering, Mahidol University, Nakhon Pathom, Thailand

Pruettha Nanakorn
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School of Civil Engineering and Technology, Sirindhorn International Institute of Technology, Thammasat University, Pathumthani, Thailand

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Published In
Vol 25 No 11, Nov 30, 2021
How to Cite
[1]
P. Suttakul, E. Chaichanasiri, and P. Nanakorn, “Design of 2D-Lattice Plates by Weight Efficiency”, Eng. J., vol. 25, no. 11, pp. 13-31, Nov. 2021.
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