期刊
COMPOSITE STRUCTURES
卷 189, 期 -, 页码 87-98出版社
ELSEVIER SCI LTD
DOI: 10.1016/j.compstruct.2018.01.054
关键词
Tensegrity; Analytical form-finding; Force-density; Matrix determinant
资金
- National Natural Science Foundation of China [11502016, 11672227]
- Fundamental Research Funds for the Central Universities of China [FRF-TP-17-012A2]
- Young Elite Scientist Sponsorship Program by CAST [2015QNRC001]
- Natural Science Basic Research Plan in Shaanxi Province of China [2017JM1004]
- open fund of Key Laboratory of Soft Machines and Smart Devices of Zhejiang Province
Tensegrities have found great importance and numerous applications in many civil, aerospace and biological systems, and form-finding analysis is a vital step to obtain their self-equilibrated configurations before applying external loads. In this paper, we present a concise and general analytical scheme for tensegrity form-finding analysis. Additions and multiplications are employed as major computational operations, that can guarantee the solving process computationally efficient. Based on the characteristic polynomial of the symbolic force-density matrix, the two (three) lower-order coefficients that are necessary for the form-finding of planar (three-dimensional) tensegrities are expressed by a unified compact equation using the matrix determinants. The force-densities of tensegrity elements satisfying the established equation can determine the self-equilibrated state of tensegrity. A large number of representative planar and three-dimensional examples are analyzed to verify the validity and efficiency of our analytical form-finding method. The predictions of our scheme are in broad agreement with the results obtained by many other methods. This study produces continuously variable force-densities of self-equilibrated tensegrities, and helps to design their unusual mechanical properties for scientific and engineering applications.
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