Abstract—With the advantages of light weight and fast assembly, the reciprocal structures are promising in engineering application. Analytically to investigate the mechanical behavior of reciprocal structures is a challenge in practical designing due to interdependency of structural elements. Although static formulations for components could easily be established, their matrix assembly for an entire structure becomes a bottleneck because of non-hierarchical relationship between components. Different structural types may be decomposed into homogenous basic units. In order to unify the static calculation method for these structures, a standard format for matrix assembly is proposed and mathematical relationships between matrices of a basic unit and whole structure are established, aiming to facilitate the analysis and design of reciprocal structures, especially in large scale. A simple case study is shown to validate the process consistent with computational result. The proposed method may also apply to the analysis of any repetitive pattern for structural application.
Index Terms—Matrix assembly, planar, reciprocal structures, static analysis.
Ding Zou and Nan Xiao are with the College of Civil Engineering and Architecture, Zhejiang University, 310058 Hangzhou, China (e-mail: aa7onz@163,com, sholran@zju.edu.cn).
[PDF]
Cite: Ding Zou and Nan Xiao, "A Standard Matrix Assembly Approach for Static Analysis of Planar Reciprocal Structures," International Journal of Engineering and Technology vol. 9, no. 4, pp. 330-335, 2017.
