The influence of the change of the longitudinal modulus of elasticity on the dynamic behavior of a Warren truss

Zeno-Iosif PRAISACH; Dan Alexandru PÎRȘAN

doi:10.24193/subbeng.2022.1.19

Autori

Zeno-Iosif PRAISACH Lect. Dr. Eng. Habil., Babeș-Bolyai University, Department of Engineering Science, Cluj-Napoca, Romania, zeno.praisach@ubbcluj.ro (*corresponding author) https://orcid.org/0000-0002-8613-8224
Dan Alexandru PÎRȘAN PhD. Stud., Babeș-Bolyai University, Department of Engineering Science, Cluj-Napoca, Romania, dan.pirsan@ubbcluj.ro https://orcid.org/0000-0002-6447-3515

DOI:

https://doi.org/10.24193/subbeng.2022.1.19

Cuvinte cheie:

Warren truss, slenderness ratio, modal analysis, relative frequency shift.

Rezumat

Trusses are commonly used structures and they are present in the most constructions because it use a small amount of material and for the loads they can support. The paper presents the dynamic behavior of a Warren truss with seven elements when for one member of the truss the modulus of elasticity is much different compared to the other elements. The relative frequency shift for the first seven vibration mode are calculated taking into consideration that the slenderness ratio has a constant value and the transverse section of the elements is changed. The conclusions reveal that by maintaining the constant value of a slenderness ratio, the relative frequency shift is not modified for the considered transverse sections of the elements of the Warren truss.

Referințe

Irvine, T., Natural Frequencies of Beams Subjected to a Uniform Axial Load, Revision C, vibrationdata.com, 2011.

Kanar A.K., PhD. Thesis: Free Vibrations of 1-D and 2-D Skeletal Structures, National Institute of Technology, Rourkela, India, 2013.

Fazli N., Malaek S.M.B., Abedian A., Teimouri H., Development of a new analytical tool to design hierarhical truss beam for natural frequency, Journal of Mechanical Science and Technology, 25 (10), 2011, pp. 2495-2503.

Lahe A., Braunbruck A., Klauson A., An exact solution of truss vibration problems, Proceedings of the Estonian Academy of Sciences, 2019, 68, pp. 244-263.

Millan-Paramo C., Millan-Romero E., Jove F., Truss optimisation with natural frequency contraints using Tiki-Taka algorithm, PalArch's Journal of Archaeology of Egypt/Egyptology, PJAEE, 18 (5), 2021, pp. 304-314.