Capturing inelastic coupling of internal forces and exact vibration frequencies for 3 d Timoshenko beam finite elements

Date

2016-08-28

Author

Soydaş, Ozan
Sarıtaş, Afşin

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A three dimensional (3d) nonlinear frame finite element based on Timoshenko beam theory is presented in this analytical study by utilizing Hu-Washizu principle with displacement, strain and stress independent fields in the variational form. The finite element approximation for the beam uses shape functions for section forces that satisfy equilibrium and discontinuous section deformations along the beam. The element is free from shear-locking, and the superiority of the proposed model is displayed under nonlinear material behavior and modal analysis. Results for the inelastic coupling of 3d internal forces with proposed model are compared with results obtained from other element models and exact solutions. Vibration analyses are carried out by the use of force-based consistent mass matrix, and verification is undertaken with closed form solutions and 3d solid finite element analyses results.

URI

https://hdl.handle.net/11511/88105

Conference Name

The 2016 World Congress on Advances in Civil, Environmental, and Materials Research (ACEM16)/The 2016 Structures Congress (Structures16), (28 August - 01 September 2016).

Collections

Department of Civil Engineering, Conference / Seminar

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Citation Formats

O. Soydaş and A. Sarıtaş, “Capturing inelastic coupling of internal forces and exact vibration frequencies for 3 d Timoshenko beam finite elements,” presented at the The 2016 World Congress on Advances in Civil, Environmental, and Materials Research (ACEM16)/The 2016 Structures Congress (Structures16), (28 August - 01 September 2016)., Jeju, Korea, 2016, Accessed: 00, 2021. [Online]. Available: https://hdl.handle.net/11511/88105.