The ribbed-annular dome's upper tier model stability experimental studies
DOI:
https://doi.org/10.32347/2410-2547.2022.108.283-294Keywords:
ribbed-annular dome, Mises' truss, stability loss, elastic horizontal supports, support ring, puff, upper tierAbstract
Abstract. Purpose. The work’s aim is to check the stability loss hypothesis with the snap-through effect of the ribbed-annular dome's upper tier on a full-scale model by experimental tests, and confirming the nonlinear tier's work under external load. Methodology. The ribbed-ring dome circumscribe in the plan as a circle with a diameter of 18 m with the dome rise ratio to the span - 1/4, which consisted of 8 ribs and had 6 tiers in height, was taken as an dome-model analog.The upper tier of the dome is bounded by the lower ring, which is the upper ring for the tier below, and the dome's upper support ring.Tier rings and ribs are made of steel closed bent welded profiles with rectangular cross section. As a dome's upper tier model, it was decided to use the von-Mises truss as a popular model for two-rod inclined systems' theoretical stability studies, which allows modeling these systems nonlinear behavior. The classic von-Mises truss using in modeling the dome's upper tier behavior is associated with a number of problems.First, the tier is a three-dimensional system with eight rods, so it was decided to model the tier with an equivalent low-pitched truss, which is 1/4 of the upper tier.Secondly, the lower tier ring has limited rigidity and can be deformed, while the classic truss has fixed supports, which is why it was decided to add elastic horizontal supports to the classic von-Mises truss model.Horizontal elastic supports were performed as steel pair puffs and were simulated the dome's upper tier lower support ring deformations. Findings. The obtained data primary and secondary processing, and the full-scale experiment results analysis were carried out. The ribbed-annular dome's upper tier nonlinear deformations nature under the external concentrated vertical load action in the ridge node was confirmed.It was established that in the ridge joint the upper tier's stability loss nature has the snap-through effect. Scientific innovation. The deformation dependencies for the equivalent von-Mises truss with elastic supports with the help of full-scale experimentwere obtained. A comparison of the equivalent truss' behavior experimental studies results with the existing theoretical studies' results was made. The experimental and theoretical studies results analysis confirmed the experimental data results reliability and analytical expressions feasibility use for the preliminary assessment of von-Mises truss' with elastic supports stability. Practical value. The obtained results of experimental research allow creating tools for designers to increase the dome structures reliability.
References
Bilyk S.I. Optimal form of the geometrical circuitry of the frame carcase with incline elements around functional cubature / Bilyk S. I. // Applied geometry and engineering graphics: Collection of scientific papers/ KNUBA. –К., 2004. – V. 74. – P. 228–235, [in Ukrainian].
Tonkacheiev V.H. Ribbed-ring domes optimal design parameters' determination with usable area 200..500 m2. // Urban planning and spatial planning. Kyiv. KNUBA, 2016. Issue No 62 part 1. P. 525-531. [inUkrainian].
Bilyk S.I., Tonkacheiev V.H. The influence of direction of the nodal load on stability of the von Mises truss with elastic supports on the example of ribbed domes with rings of steel// Construction, materials science, mechanical engineering. Section: Innovative lifecycle technology of housing and civil, industrial and transportation purposes – Dnepr: PGASA,2015. – Issue No 85. – P. 44-49. http://smm.pgasa.dp.ua/article/view/67272
Bilyk S.I. Stability of two-rod trusses taking into account the elastic stiffness of the ridge node // Collection of scientific works of the Ukrainian Institute of Steel Structures named after V.M. Shimanovsky. – 2015. – Issue No 16. – P. 13-21.[in Ukrainian].
Bilyk S.I., Tonkacheiev V.H. Modeling of the low-pitched dome covering's upper tier defromations. // New technologies in construction, Issue No 32, Kyiv: NDIBV. 2017. P. 44-49. [in Ukrainian]
R.V. Mises, Über die Stabilitätsprobleme der Elastizitätstheorie, Z. angew. Math. Mech., 3 (1923), 406–422, doi:10.1002/zamm.19230030602 https://onlinelibrary.wiley.com/doi/abs/ 10.1002/zamm.19230030602.
Kala Z. Stability of von-Misses truss with initial random imperfections.Modern Building Materials, Structures and Techniques, MBMST 2016. Procedia Engineering 172 ( 2017 ) p.473 – 480. https://pdf.sciencedirectassets.com/278653/.
Greco Marcelo, Carlos Eduardo Rodrigues Vicente, Analytical solutions for geometrically nonlinear trusses, Revista Escola de Minas, 62 (2009) 2, 205-214, doi:10.1590/S0370-44672009000200012
Kala Z. Kalina М. Static equilibrium states of von Mises trusses. INTERNATIONAL JOURNAL OF MECHANICS, volume 10, 2016, p. 294-298. https://www.researchgate.net/publication/305175165Kala, Zdenek & Kalina, Martin. (2016).
Frantık P. Simulation of the stability loss of the von Mises truss in an unsymmetrical stress state/ Engineering MECHANICS, Vol. 14, 2007, No. 1, p. 155–161 http://www.engineeringmechanics.cz/pdf/14_3_155.pdf
S.I. Bilyk, А.S. Bilyk, V.H. Tonkacheiev.The stability of low-pitched von mises trusses withhorizontal elastic supports// Strength of Materials and Theory of Structures: Scientific-and-technical collected articles – Kyiv: KNUBA, 2022. – Issue 108. (submitted for publication)
W. Nachbar, N.C. Huang: Dynamic snap-through of a simple viscoelastic truss, Q. Appl. Math., 25 (1967), 65–82, https://www.researchgate.net/publication/268490270_Dynamic _snap-through_of_a_simple_viscoelastic_truss, 23.11.2016
Federico Oyedeji Falope, Matteo Pelliciari, Luca Lanzoni, Angelo Marcello Tarantino, Snap-through and Eulerian buckling of the bi-stable von Mises truss in nonlinear elasticity: A theoretical, numerical and experimental investigation, // International Journal of Non-Linear Mechanics, Volume 134, 2021, 103739, ISSN 0020-7462,https://doi.org/10.1016/j.ijnonlinmec.2021.103739.
Bilyk S.I., Tonkacheiev H.M., Bilyk А.S., Tonkacheiev V.H. Tall von-Mises trusses' skew-symmetric deformation// Strength of Materials and Theory of Structures: Scientific-and-technical collected articles – Kyiv: KNUBA, 2020. – Issue 105. – P. 114-126. https://doi.org/10.32347/2410-2547.2020.105.114-126
Isakhanov H.V. Fundamentals of scientific research in construction. Kyiv: Hight school. Head publishing house, 1985. 208p [inRussian].
Zhuk A.Ia., Zheliabina N.K., Malyshev H.P. Fundamentals of scientific research in the field of practical mechanics // textbook. Manual, Zaporizhia. state eng. Academy, Book. 2: Experimental research.- Kyiv, Condor, 2012.-221 p.- (ill.) [inUkrainian].
Downloads
Published
Issue
Section
License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.