Equations of the Elastic of a Spatial Lattice from a Continuous Model

Autores

DOI:

https://doi.org/10.5540/tcam.2022.024.01.00035

Palavras-chave:

spatial lattice, static, strain energy, differential equations

Resumo

Within metal constructions there are structures made up of parallel profiles called legs, connected to each other by diagonals. Some of these structures, with a triangular cross section, turn out to be the braced masts used in the communications industry, but also columns and beams used in metal structures. In the present work, the equations that allow obtaining the equations of the elastic of a spatial lattice of triangular cross section are developed, in which the legs are joined together by zig-zag diagonals. To do this, we start from an energy proposal in which the differential equations of equilibrium and the boundary conditions of the proposed problem are determined. Finally, examples are presented where results are obtained with the equations developed, and they are compared with the results obtained from the application of the expressions given in CIRSOC 303 Recommendation (1996) and from finite element models.

Referências

M. Madagula, Y.Wahba, and G. Monforton, "Dynamic response of guyed mast," Engineering Structures, vol. 20, pp. 1097-1101, 1998.

Y. Wahba, M. Madagula, and G. Monforton, "Evaluation of non-linear analisis of guyed antenna towers," Computers and Structures, vol. 68, pp. 207-212, 1998.

N. B. Kahla, "Equivalent beam-column analysis of guyed towers," Computers and Structures, vol. 55, pp. 631-645, 1995.

C. Filipich and E. Bambill, "Frecuencias naturales de piezas empresilladas vía serie de potencias," Mecánica Computacional, vol. 22, 2003.

A. Guzmán, M. Rosales, and C. Filipich, "Natural vibrations and buckling of a spatial lattice structure using a continuous model derived from an energy approach," International Journal of Steel Structures, vol. 17, pp. 1-14, 2017.

A. Guzmán, M. Rosales, and C. Filipich, "Continuous one-dimensional model of a spatial lattice. deformation, vibration and buckling problems," Engineering Structures, vol. 182, pp. 290-300, 2019.

A. Guzmán and V. Roldan, "Equivalent properties for analysis as beam-column of spatial lattices of rectangular cross-section," Advanced Steel Construction, vol. 17, pp. 95-103, 2021.

CIRSOC-303, Estructuras livianas de acero. INTI, Argentina, 1996.

O. Belluzzi, Ciencia de la construcción I. Aguilera, España, 1973.

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Publicado

2023-03-14

Como Citar

Guzmán, A. M., González del Solar, G. A., & Roldán, V. A. (2023). Equations of the Elastic of a Spatial Lattice from a Continuous Model. Trends in Computational and Applied Mathematics, 24(1), 35–43. https://doi.org/10.5540/tcam.2022.024.01.00035

Edição

v. 24 n. 1 (2023)

Seção

Artigo Original

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