Frequency Response Analysis of Perforated Shells with Uncertain Materials and Damage

Abstract

In this paper, we give an overview of the issues one must consider when designing methods for vibration based health monitoring systems for perforated thin shells especially in relation to frequency response analysis. In particular, we allow either the material parameters or the structure or both to be random. The numerical experiments are computed using the standard high order finite element method with stochastic collocation for the cases with random material and Monte Carlo for those with damaged or random structures. The results display a wide range of responses over the experimental configurations. In perforated shell structures, the internal boundary layers can play an important role especially when damage is allowed within the penetration patterns. The computational methodology advocated here can be used to build statistical databases that are necessary for development of probabilistic damage identification methods.

Research on the oscillation of cooling grills used for terminal devices for voice communication control systems used by air traffic controllers

“…We can't apply an analytical solution of the equations regarding plates and the freeform holes. It would be appropriate to use here the finite-element model to calculate the natural frequencies of these details [7][8][9][10].…”

Special Feature Vibration-Based Structural Health Monitoring

“…For the application of vibration analysis to system identification, direct methods analyzing responses from external loads are preferred. Frequency response analysis for vibration prediction of perforated shells was performed for application to statistical modeling techniques and to be used for damage detection [2]. Damage detection using modal rotational mode shapes was proposed [3].…”

A New Analytical Approach for Nonlinear Global Buckling of Spiral Corrugated FG-CNTRC Cylindrical Shells Subjected to Radial Loads

“…Substituting Equations (9) and (14) into the third equation of (13), the stability equation is rewritten as…”

“…By using the constitutive relations (9) with the stress function expressions (14), the inverse relations can be established:…”

“…Allahkarami et al [13] studied the dynamic buckling behavior of higher-order shear deformable FGM porous cylindrical shells with even and uneven porosity distribution types. Hakula and Laaksonen [14] discussed the frequency responses of perforated shells with uncertain materials and damage by using the higher-order finite element method.…”