Skip to main content
Have a personal or library account? Click to login
Development and Validation of a von Mises Planar Truss Model for Studying Structural Nonlinearities Cover

Development and Validation of a von Mises Planar Truss Model for Studying Structural Nonlinearities

Open Access
|May 2026

References

  1. Greco, M., Carlos, E. R. V. “Analytical Solutions for Geometrically Nonlinear Trusses”, Rem Revista Escola De Minas 62 (2), pp. 205 – 214, 2009. DOI: 10.1590/s0370-44672009000200012
  2. Cunha, Pedro F. L. “Analytical Solution for a Geometrically and Material Nonlinear 2D Truss”, Zenodo (CERN European Organization for Nuclear Research), 2023. DOI: 10.5281/zenodo.10516457
  3. Hrinda, G. A. “Geometrically Nonlinear Static Analysis of 3D Trusses Using the Arc-length Method”, WIT Transactions on Modelling and Simulation I, pp. 243 – 252, 2007. DOI:10.2495/cmem070261
  4. Hrinda, G. “Snap-through instability patterns in truss structures”, In the 51st AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, Orlando, FL, USA, 12–15 April 2010, AIAA 2010-2611, Orlando, FL: American Institute of Aeronautics and Astronautics, 2010. DOI:10.2514/6.2010-2611
  5. Liu, F., Jin, D., Li, X. et al. “Reduced-order modelling and solution method for nonlinear frequency response analysis of large space truss structures”, Nonlinear Dyn 112, pp. 10127 – 10145, 2024. DOI: 10.1007/s11071-024-09572-1
  6. Liu, M., Cao, D., Wei, J. “Survey on Equivalent Continuum Modelling for Truss Structures and Their Nonlinear Dynamics and Vibration Control”, J. Vib. Eng. Technol. 10, pp. 667 – 687, 2022. DOI: 10.1007/s42417-021-00398-4
  7. Vebil, Y. “A Closed-Form Buckling Formula for Open-Coiled and Properly Supported Circular-Bar Helical Springs.” Strojnícky časopis – Journal of Mechanical Engineering 68 (3), pp. 33 – 48, 2018. DOI: 10.2478/scjme-2018-0025
  8. Reksowardojo, Arka P., et al. “Experimental Testing of a Small-Scale Truss Beam That Adapts to Loads Through Large Shape Changes”, Frontiers in Built Environment 5, 2019. DOI: 10.3389/fbuil.2019.00093
  9. Sudhakar, A., Čepica, D., Trefil, A. “Comparison of Analytical and Experimental Approaches for Modified von Mises Truss Behavior”, Engineering Mechanics International Conference 2025, 31 (45), pp. 205 – 208, 2025. DOI: 10.21495/em2025-205.
  10. Huang, M., Du, Z., Cui, T. et al. “Data-driven-based stable analysis algorithm for nonlinear truss structures with geometric instabilities”, Comput Mech 77, pp. 451 – 465, 2026. DOI: 10.1007/s00466-025-02672-8
  11. Shin, S., et al. “Nonlinear Analysis of Truss Structures Based on Machine Learning”, The 2023 World Congress on Advances in Structural Engineering and Mechanics (ASEM23), conference proceedings, 2023. Available at: www.iasem.org/publication_conf/asem23/1.SM/[0237].pdf.
  12. Frydrýšek, K., Jančo, R. “Simple Planar Truss (Linear, Nonlinear, and Stochastic Approach) “, Strojnícky časopis – Journal of Mechanical Engineering 66 (2), pp. 5 – 12, 2016. DOI: 10.1515/scjme-2016-0013
  13. Frydrýšek, K., Jahodová, M., Morávková, Z. “Comparative Study of Simple Truss Solved According to the Theories of 1st and 2nd Order”, Engineering Mechanics 25, pp. 117 – 120, 2019. DOI: 10.21495/71-0-117
  14. Frydrýšek, K. “Some Selected Tasks of Elasticity and Plasticity 4 (Basic Nonlinear Mechanics of Deformable Bodies in Examples)”, Department of Applied Mechanics, Faculty of Mechanical Engineering, VSB–Technical University of Ostrava, Ostrava, pp. 1 – 139, 2016. ISBN 978-80-248-4152-6
  15. “Python Software Foundation”, Python, version 3.8.5., Python Software Foundation, Year 2024, Available at: www.python.org.
  16. Harris, C.R., Millman, K.J., van der Walt, S.J. et al. “Array programming with NumPy.”, Nature 585, pp. 357 – 362, 2020. DOI: 10.1038/s41586-020-2649-2
  17. Hunter, J.D., “Matplotlib: A 2D Graphics Environment”, Computing in Science & Engineering 9 (3), pp. 90 – 95 , 2007. DOI: 10.5281/zenodo.592536
  18. McKinney, Wes. “Data Structures for Statistical Computing in Python”, Proceedings of the 9th Python in Science Conference, edited by Stéfan van der Walt and Jarrod Millman, pp. 51 – 56, 2010.
DOI: https://doi.org/10.2478/scjme-2026-0013 | Journal eISSN: 2450-5471 | Journal ISSN: 0039-2472
Language: English
Page range: 141 - 156
Published on: May 5, 2026
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year

© 2026 Anilraj Sudhakar, Karel Frydrýšek, Lucie Krejčí, Antonín Trefil, Daniel Čepica, published by Slovak University of Technology in Bratislava
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.