The Influence of Dome Geometry on the Results of Modal and Buckling Analysis
Source abstract
Abstract
The main purpose of this paper is to compare the results of modal analysis for two types of domes. The first one is a low-rise Schwedler dome. The second one is a high-rise geodesic dome. The low-rise Schwedler dome is subjected to large displacement gradients and should be designed according to geometrical nonlinear analysis. In the case of high-rise geodesic dome, linear analysis is sufficient. In the modal analysis, the mass of the bars of the supporting structures was modeled as evenly distributed, while the mass of the covering and roof equipment was concentrated in the nodes. Classic calculations have been enriched with modal analysis taking into account normal forces. Normal forces affect the vibration frequency of the structure. Commonly used modal analysis does not take into account the influence of normal forces. In order to approximate the actual working conditions of the structure, calculations performed in Autodesk Robot Structure Professional 2022 can be performed in accordance with the modal analysis, taking into account the applied normal forces in the modal analysis. Additionally, stability loss was verified using linear or geometrical nonlinear buckling analysis. The exigence of including normal forces in modal analysis for low-rise domes is the novelty and main message of the work.
Source: crossref · Quality: baseline
Research context
OpenAlex topics: Structural Analysis of Composite Materials · Mechanical and Thermal Properties Analysis · Civil and Structural Engineering Research
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Faculty of Civil Engineering and Architecture, Kielce University of Technology, 25-314 Kielce, Poland
Department of Structural Mechanics, Faculty of Civil Engineering, Slovak University of Technology, 810 05 Bratislava, Slovakia
Funding
Scientific Grant Agency of the Slovak Republic
References (33)
Show source-provided references
1. Threats to buildings resulting from resonant vibrations
2. Modeling of some dynamic interactions on the construction of stands of sports facilities
3. Emergency condition of the stand of the stadium in Zielona Góra caused by the synchronous dance of the fans
4. Analysis of temporary steel grandstand with different bracing systems exposed to crowd load10.21595/jme.2018.20422 ↗
5. Dynamic Response of 100 m, 200 m, 300 m Lattice Domes with LRB Seismic Isolator
6. Seismic response evaluation of lattice shell roofs using amplification factors
7. Hosseini, M., Hajnasrollah, S., and Herischian, M. (2012, January 24–28). A Comparative Study on the Seismic Behavior of Ribbed, Schwedler, and Diamatic Space Domesby Using Dynamic Analyses. Proceedings of the 15th World Conference on Earthquake Engineering, Lisbon, Portugal.
8. In situ seismic testing for experimental modal analysis of civil structures10.1016/j.engstruct.2022.114773 ↗
9. Seismic Behavior of Single Layer Schwedler Domes10.1260/0266-3511.29.1.39 ↗
10. Pilarska, D., and Maleska, T. (2021). Numerical Analysis of Steel Geodesic Dome under Seismic Excitations. Materials, 14.10.3390/ma14164493 ↗
11. Dynamic Response of a Single-Layer Reticulated Dome during Aircraft Impact Based on S-J Modeling Method10.1155/2019/9056810 ↗
12. Failure modes of reticulated domes subjected to impact and the judgment10.1016/j.tws.2009.08.005 ↗
13. Research of the viaduct over the railway tracks at the PGE Arena in Gdańsk during its implementation10.35784/bud-arch.2065 ↗
14. Sokol, M., Venglár, M., Lamperová, K., and Márföldi, M. (2020). Performance Assessment of a Renovated Precast Concrete Bridge Using Static and Dynamic Tests. Appl. Sci., 10.10.3390/app10175904 ↗
15. Sokol, M., Ároch, R., Lamperová, K., Marton, M., and García-Sanz-Caledo, J. (2021). Parametric Analysis of Rotational Effects in Seismic Design of Tall Structures. Appl. Sci., 11.10.3390/app11020597 ↗
16. Evaluation of Performance Indicator of Railway Bridges Using Updated Finite Element Model
17. Case study: The Harbor Bridge in Bratislava10.1002/suco.201900190 ↗
18. Identification of Bearings State on the Bridge Checked by Dynamic Tests
19. Wind effect on grooved and scallop domes10.1016/j.engstruct.2017.07.003 ↗
20. Effect of wind load on different heritage dome buildings10.1140/epjp/s13360-021-02133-0 ↗
21. Dynamic stability of tensegrity structures—Part 1: The time-independent external load10.3390/ma16020580 ↗
22. Torsional buckling of functionally graded graphene reinforced composite laminated cylindrical panel10.1007/s00419-022-02132-2 ↗
23. Thompson, J.M.T., and Hunt, G.W. (1973). A General Theory of Elastic Stability, Wiley and Sons.
24. Kleiber, M. (1985). Finite Element Method for Nonlinear Continuum Mechanics, Warszawa-Poznań PWN. (In Polish).
25. Bathe, K.J. (1982). Finite Element Procedure in Engineering Analysis, Prentice Hall.
26. Effect of Increased Density of Nodes in Geodesic Dome on its Critical Load Capacity10.1088/1757-899X/471/5/052051 ↗
27. Nonlinear Theory of Elastic Stability10.1115/1.3423916 ↗
28. Zabojszcza, P., Radoń, U., and Szaniec, W. (2021). Probabilistic Approach to Limit States of a Steel Dome. Materials, 14.10.3390/ma14195528 ↗
29. Stability analysis of the single-layer dome in probabilistic description by the Monte Carlo method10.15632/jtam-pl/118950 ↗
30. An incremental approach to the solution of snapping and buckling problems10.1016/0020-7683(79)90081-7 ↗
31. The application of the Lanczos Mode Superposition Method in dynamic analysis of offshore structures10.1016/0045-7949(87)90269-0 ↗
32. A comparison of Lanczos and optimization methods in the partial solution of sparse symmetric eigenproblems10.1002/nme.1620370405 ↗
33. Two subdivision methods based on the regular octahedron for single- and double-layer spherical geodesic domes10.1177/0956059920956944 ↗