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An analytical method for solving internal forces and deformations of bar-system structure in space

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Abstract

In this paper, based on the idea of finite element method, the initial parametric method in bending problem of a beam is extended to analyse the bar-system structure by employing Dirac δ function and Heaviside step function.Then a new method for analysing the internal forces and deformations of bar-system structure in space is suggested by improving the mixed method in statically indeterminate structure.

The inferred process and obtained answer will be more succinct and accurate when the problem of internal forces and deformations of bar-system structure is analysed by using the new method provided in this paper.

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References

  1. Xia Dao-xing,Function of a Real Variable and Analysis of Functional, People Educational Publishing House, (1978). (in Chinese)

  2. Wu Cong-xin, Some, notes for theδ function in application to mechanics,Journal of Engineering Mathematics, 1 (1984). (in Chinese)

  3. Yuan Fa-rong, The finite element method of bar-system structure in space and the applications for analysing internal forces and deformations of frame of the moulding machine,Acta Mechanica Sinica, 2 (1977). (in Chinese)

  4. Yuan Fa-rong, An analytical method for internal forces and deformations of plane rigid frame,Journal of Applied Mechanics, 3 (1987). (in Chinese)

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Commumicated by Jiang Yong-qiu and Hsu Tzu-ta

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Fa-rong, Y., Xue-feng, C. An analytical method for solving internal forces and deformations of bar-system structure in space. Appl Math Mech 10, 623–630 (1989). https://doi.org/10.1007/BF02115794

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  • DOI: https://doi.org/10.1007/BF02115794

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