Damage detections in nonlinear vibrating thermally loaded plates

In this work, geometrically nonlinear vibrations of fully clamped rectangular plates subjected to thermal changes are used to study the sensitivity of some vibration response parameters to the presence of damage and elevated temperature. The geometrically nonlinear version of the Mindlin plate theory is used to model the plate behaviour. Damage is represented as a thickness reduction in a small area of the plate. The plates are subjected to harmonic loading leading to large amplitude vibrations and temperature changes. The plate vibration response is obtained by a pseudo-load mode superposition method. The main results are focussed on establishing the influence of damage on the vibration response of the heated and the unheated plates and the change in the time-history diagrams and the Poincare maps caused by damage and elevated temperature. The damage criterion formulated earlier for non-heated plates, based on analyzing the points in the Poincare sections of the damaged and healthy plate, is modified and tested for the case of plates additionally subjected to elevated temperatures. The importance of taking into account the actual temperature in the process of damage detection is shown.

[1]  Irina Trendafilova,et al.  Vibration-based damage detection in plates by using time series analysis , 2008 .

[2]  Michael D. Todd,et al.  A multivariate, attractor-based approach to structural health monitoring , 2005 .

[3]  Daniel J. Inman,et al.  An experimentally validated damage detection theory in smart structures , 1996 .

[4]  Nikos A. Aspragathos,et al.  Identification of crack location and magnitude in a cantilever beam from the vibration modes , 1990 .

[5]  Anant R. Kukreti,et al.  Dynamic analysis of nonlinear structures by pseudo-normal mode superposition method , 1984 .

[6]  P. Ribeiro,et al.  The effect of temperature on the large amplitude vibrations of curved beams , 2005 .

[7]  Wieslaw Ostachowicz,et al.  An Investigation on Damage Detection in Aircrafts Panels Using Nonlinear Time Series Analysis , 2007 .

[8]  P. Ribeiro.  Thermally induced transitions to chaos in plate vibrations , 2007 .

[9]  E. Manoach.  Dynamic large deflection analysis of elastic-plastic Mindlin circular plates , 1994 .

[10]  E. Parloo,et al.  AUTONOMOUS STRUCTURAL HEALTH MONITORING—PART I: MODAL PARAMETER ESTIMATION AND TRACKING , 2002 .

[11]  Earl A. Thornton,et al.  Thermal Structures for Aerospace Applications , 1996 .

[12]  Bogdan I. Epureanu,et al.  Exploiting Chaotic Dynamics for Detecting Parametric Variations in Aeroelastic Systems , 2004 .

[13]  Daniel J. Inman,et al.  TIME DOMAIN ANALYSIS FOR DAMAGE DETECTION IN SMART STRUCTURES , 1997 .

[14]  L. Pecora,et al.  Vibration-based damage assessment utilizing state space geometry changes: local attractor variance ratio , 2001 .

[15]  Pedro Ribeiro,et al.  Coupled, thermoelastic, large amplitude vibrations of Timoshenko beams , 2004 .

[16]  Marco Amabili,et al.  Thermal effects on geometrically nonlinear vibrations of rectangular plates with fixed edges , 2009 .

[17]  Grant P. Steven,et al.  VIBRATION-BASED MODEL-DEPENDENT DAMAGE (DELAMINATION) IDENTIFICATION AND HEALTH MONITORING FOR COMPOSITE STRUCTURES — A REVIEW , 2000 .

[18]  E. Parloo,et al.  AUTONOMOUS STRUCTURAL HEALTH MONITORING—PART II: VIBRATION-BASED IN-OPERATION DAMAGE ASSESSMENT , 2002 .

[19]  Irina Trendafilova,et al.  Large amplitude vibrations and damage detection of rectangular plates , 2008 .