Morphogenesis and adjustment of flat rod structures.

Volodymyr Skochko June 30, 2018 Construction & Civil Engineering

Volodymyr Skochko ^1*,
Vitalii Ploskyi ²
^1,2Kyiv National University of Construction and Architecture.
Received: 04/20/2018, Accepted: 06/15/2018, Available online: 06/30/2018.
DOI: https://doi.org/10.32557/useful-2-2-2018-0002
HDL: http://hdl.handle.net/20.500.12334/16
*Corresponding author: e-mail: vladimir.and.friends@gmail.com, address: Povitroflotsky Avenue, 31, Kyiv, 03680 Ukraine
Under a creative commons license. Volume 2, Issue 2, 2018, pages: 08-26.

Author Keywords: rod structures, morphogenesis, numerical simulation, stress-strain state.

Abstract

The mathematical apparatus allowing receiving the preliminary form of rod construction as well as changing positions of nods of the received model, systemically redistributing internal forces in its rods was considered in this paper. To achieve this, the parametric equations of rods of the construction are used. These equations reflect the relationship between coordinates of the model, stiffness parameters, and the characteristics of the external forces acting on the structure. The flat hinged trusses, the rods of which work only on tension or compression, are considered as an object of researches. Several examples of the shaping and adjustment of flat trusses are given, taking into account different initial conditions.

References

[1] Marti P.: Theory of Structures: Fundamentals, Framed Structures, Plates and Shells. John Wiley & Sons, Inc., Ernst & Sohn GmbH & Co. KG., 2013. XVI. 679 p. DOI:10.1002/9783433602638

[2] Rabinovich I.: Fundamentals of Structural Mechanics of Rod Systems. – M.: Gostroizdat, 1960.

[3] Gaidarov Yu.: Cable-stayed structures. Tutorial. – Leningrad: LIIZhT, 1972. 71 p.

[4] Skochko V.: Some Aspects of the Network Structure's Elements Balance Description. Construction and Techno Security. – Vol. 48. – Simferopol: The National Academy of Environmental Protection and Resort Development, 2013, pp. 172–180.

[5] Ploskyi V., Skochko V.: The Discrete Cages of Surfaces Constructing Using Equations of State’s Parameters and Conditions of Mash Structure’s Communications. Advances in Mechanical Engineering and Transport. Science journal. Vol. 2. Lutsk: Lutsk National Technical University, 2014, pp. 94–103.

[6] Kulikov P, Ploskiy V., Skochko V.: The Principles of Discrete Modeling of Rod Constructions of Architectural Objects. Polish Academy of Sciences. Lublin-Rzeszow. Motrol. Vol. 16 (8), 2014, pp. 3-10.

[7] Skochko V., Skochko L.: The Equation of State and Condition Parameters of the Mesh Structure Relationships. Grounds and Foundations. Vol. 34. Kyiv: KNUCA, 2013, pp. 47-57.

[8] Skochko V.: The Equation of State Parameters and Position of the Ligature Connecting Free and Fixed Nodes of Network Structure. Urban Development and Territorial Planning. Vol. 51. Kyiv: KNUCA, 2014, pp. 521–527.

[9] Skochko V.: Morphogenesis and Correction of Planar Rod Constructions with a Small Amount of Free Nodes. Polish Academy of Sciences. Lublin-Rzeszow. Motrol. Vol. 17 (8), 2015, pp. 35-42.

[10] Haykin S.: Neural Networks. A Comprehensive Foundation. Upper Saddle River – New Jersey, 2006, 1105.

[11] Rosenblatt F.: Principles of Neurodynamics. Perceptrons and the Theory of Brain Mechanisms. Spartan Books, Washington, D. C., 1962, 470.

[12] Narendra K., Amnasway A.: A Stable Adaptive Systems. Prentice-Hall, 1988, 350.

[13] Ploskyi V., Skochko V.: Algorithm of Meshwork’s Communications Parameters Controlling Based on Adjustment of the Scalar Potential of External Influences. Energy Saving in Construction and Architecture. Vol. 6. Kyiv: KNUCA, 2014, pp. 224-230.

[14] Matsyulyavichyus D.: Synthesis of the optimal system of a flat rod statically determined construction of minimum weight. Structural mechanics. No. 1. Vilnius, 1965, pp. 102-107.

[15] Matsyulyavichyus D.: Synthesis of optimum configuration of hinge structure under dead load and weight. Lithuanian mechanical collection. No. 2, 1969, pp. 5-23.

[16] Gordeev V.: Research of multiple similar structures with parameters close to optimum. Moscow: TsNIPIASS Publ., Vol. 8, 1974, pp. 12-15.

[17] Rzhanitsyn A.: Towards theoretical weight of bar systems. Moscow: Stroyizdat Publ., Vol. 4, 1949, pp. 252–265.

Please cite as: V.Skochko, V.Ploskyi “Morphogenesis and adjustment of flat rod structures.” USEFUL online journal, vol. 2, no. 2, pp. 08–26, June 2018. DOI: https://doi.org/10.32557/useful-2-2-2018-0002