The Methods for Efficient Transverse Vibration of Structural Dynamics: a Historical Point of View  

Oleh:

Liong, A. Rugerri Toni

Jenis: Article from Journal - ilmiah nasional - tidak terakreditasi DIKTI - atma jaya
Dalam koleksi: Cylinder: Jurnal Ilmiah Teknik Mesin vol. 1 no. 1 (Apr. 2014), page 1-7.
Topik: Transverse vibration of beams; analytical model; finite element
Fulltext: 01_01_01_Rugerri.pdf (1.43MB)

Isi artikel

The different assumptions and corresponding theories of transverse vibrations of beams are presented. Eight mathematical models, namely Euler-Bernoulli, Rayleigh, Euler-Bernoulli modified, Bress, Volterra, Ambartsumyan, Timoshenko and Love theory are firstly discussed. Then, different theories of dynamic behaviours of beams can be obtained from the equations of the theory of elasticity, which are presented with respect to average values. Nowadays, beam elements are usually based on two theories, i.e Euler-Bernoulli and Timoshenko beam theory. One of the recent developments pointed out is the computer program ABAQUS, a finite element based cross- sectional and non-linear analysis for beam. Finally, several examples are presented as numerical validations in which FE results are compared with those from the theories in the literature where available and appropriate.

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