Dimensionless wave numbers evolution of a three spans simply supported beam when the intermediate supports are moving along the whole beam

Zeno-Iosif PRAISACH; Dorel ARDELJAN; Constantin-Viorel PAȘCU

doi:10.24193/subbeng.2021.1.2

Autori

Zeno-Iosif PRAISACH Babeș-Bolyai University, Faculty of Engineering, Piaţa Traian Vuia, nr. 1-4, 320085, Reşiţa, Romania, zeno.praisach@ubbcluj.ro (*corresponding author) https://orcid.org/0000-0002-8613-8224
Dorel ARDELJAN Ph.D. Stud. Dorel Ardeljan, Babeș-Bolyai University, Faculty of Engineering, Piaţa Traian Vuia, nr. 1-4, 320085, Reşiţa, Romania, dorel.ardeljan@ubbcluj.ro
Constantin-Viorel PAȘCU Ph.D. Stud. Constantin-Viorel Pașcu, Babeș-Bolyai University, Faculty of Engineering, Piaţa Traian Vuia, nr. 1-4, 320085, Reşiţa, Romania, constantin.pascu@ubbcluj.ro

DOI:

https://doi.org/10.24193/subbeng.2021.1.2

Cuvinte cheie:

natural frequency, dimensionless wave number, mode shape

Rezumat

Continuous beams simply supported with several intermediate supports are very common in engineering achievements everywhere. The paper shows the evolution of the dimensionless wave number in 3D format, respectively of the eigenfrequencies for a continuous beam with three openings when the intermediate supports take any position inside the beam. The frequency equation for calculating the dimensionless wave number is presented and the modal function is given with an example for the case where the eigenfrequency has the maximum value at fist vibration mode.

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