The Methods for Efficient Transverse Vibration of Structural Dynamics: a Historical Point of View
ABSTRACT: 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 elementsare 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
crosssectional 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.
Penulis: A. Rugerri Toni Liong
Kode Jurnal: jptmesindd140579
