ANÁLISE COMPUTACIONAL DOS MODOS E FREQUÊNCIAS NATURAIS DE VIBRAÇÃO DE UMA VIGA ENGASTADA-LIVRE

Abstract

This study aimed to perform theoretical and computational modeling of a clamped-free, showing the first four vibration modes and their natural frequencies. The study of dynamic structures whether rigid or flexible , without the action of external forces or under the action of these, such as regular sea waves, wind, VIBRAÇÕES EM VIGAS 115 Colloquium Exactarum, v. 6, n.1, Jan-Jun. 2014, p.114 – 127. DOI: 10.5747/ce.2014.v06.n1.e072 mechanical vibration of external order, is of vital importance for the prevention of possible problems structural, such as cracks, displacement, partial or total disruption of these structures. The study of the dynamics of the beam was initially performed by Euler-Bernoulli approach and flexibility has been studied from the assumed modes method. The computational resources available had the Matlab, to implement finding the vibration modes and their natural frequencies, the Maple was used to implement the three-dimensional vibration modes and develop differential calculations work. During the computational implementation chose to make the programs developed will allow further studies with different types of beams and physical properties. This work provided further skill development to mathematically model the dynamics of structures as well as skills to implement models through programming. For future plans indicates to solve the equations in order to consider external forces acting on the system, in order to study the motion of the beam and its structural flexibility when subjected to external sources of excitations.

Keywords

• dynamics
• structures
• beam
• clamped-free
• assumed modes