CALCULATING THE FREQUENCY OF AN ACTUAL STRUCTURE USING THE RAYLEIGH TECHNIQUE

Abstract eng:
Beams and columns constitute a continuous system with infinite degrees of freedom. To study the behavior of these systems the use of discretization techniques is required. However, one can associate them to a system with a single degree of freedom, restricting the form in which the system will deform and write their properties as a function of the generalized coordinate. This technique is the called Rayleigh Method and is a resource largely used to study the vibration of elastic systems. However, actual structures are systems more complex than simple beams and columns, because they have properties varying along its length. In such cases, the use of the Rayleigh Method should be done by parts and its integrals resolved within the limits established for each interval, being the generalized properties calculated for each segment of the structure. The actual structure selected for this study is a metallic high slenderness pole for which the frequency of the first vibration mode was calculated analytically, and as well as by a FEM - Finite Element Method model based computer for comparative purposes, getting a very good result.

• Export as: BibTeX | MARC | MARCXML | DC | EndNote | NLM | RefWorks
• Add to your basket