Rayleigh damping parameters estimation using hammer impact tests

Abstract Structural Health Monitoring (SHM) systems for aerospace applications are becoming more prevalent and its potential cost-benefit relation is rapidly improving as more structures that were traditionally made with metallic materials are gradually being replaced by composites. To support these systems, simulations can play a crucial role; however, in the case of low energy impacts, the structural damping becomes a very significant element in the simulation. This damping is usually not well known, or is based in estimates with very low reliability. Therefore, in order to improve the reliability of these values this paper presents an attempt to estimate the Rayleigh damping parameters with the application of time-frequency analysis methods to transient signals, specifically, the reduced interference distribution. These parameters are estimated based in the results of a large number of structural tests done in a square carbon-fiber reinforced plastic panel, and are then validated by correlation of an explicit Finite Element Method (FEM) simulation. A discussion on how to apply the reduced interference distribution to the signals measured by piezoelectric sensors under an impact scenario and other possible usages of these results is also presented in this document.

[1]  C. Harris,et al.  Harris' Shock and Vibration Handbook , 1976 .

[2]  M. H. Ferri Aliabadi,et al.  Passive sensing method for impact localisation in composite plates under simulated environmental and operational conditions , 2019, Mechanical Systems and Signal Processing.

[3]  L. Cohen,et al.  Time-frequency distributions-a review , 1989, Proc. IEEE.

[4]  Wieslaw Ostachowicz,et al.  Impact induced damage assessment by means of Lamb wave image processing , 2018 .

[5]  Olivier Allix,et al.  A 3D damage analysis of low-velocity impacts on laminated composites , 2002 .

[6]  Barry T. Smith,et al.  Time-frequency analysis of the dispersion of Lamb modes. , 1999, The Journal of the Acoustical Society of America.

[7]  Wieslaw Ostachowicz,et al.  Damage localisation in plate-like structures based on PZT sensors , 2009 .

[8]  D. Tzetzis,et al.  Modal testing of nanocomposite materials through an optimization algorithm , 2016 .

[9]  Doo-Ho Lee,et al.  Identification of fractional-derivative-model parameters of viscoelastic materials from measured FRFs , 2009 .

[10]  Vikas Arora,et al.  Direct structural damping identification method using complex FRFs , 2015 .

[11]  Joseph L. Rose,et al.  Active health monitoring of an aircraft wing with embedded piezoelectric sensor/actuator network: I. Defect detection, localization and growth monitoring , 2007 .

[12]  Francesco Caputo,et al.  A sensitivity analysis on the damage detection capability of a Lamb waves based SHM system for a composite winglet , 2018 .

[13]  Xinlin Qing,et al.  SMART Layer and SMART Suitcase for structural health monitoring applications , 2001, SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring.

[14]  M. Hooker Properties of PZT-Based Piezoelectric Ceramics Between-150 and 250°C , 1998 .

[15]  Samuel Case Bradford,et al.  Time-Frequency Analysis of Systems with Changing Dynamic Properties , 2006 .

[16]  D. Tzetzis,et al.  Investigation of the dynamic mechanical properties of epoxy resins modified with elastomers , 2016 .

[17]  Hai Wang,et al.  A failure mechanism based model for numerical modeling the compression-after-impact of foam-core sandwich panels , 2017 .

[18]  B. Epureanu,et al.  Vibration-based identification of interphase properties in long fiber reinforced composites , 2017 .

[19]  Daniel J. Inman,et al.  Piezoelectric Energy Harvesting , 2011 .

[20]  K. Balasubramaniam,et al.  Modelling of attenuation of Lamb waves using Rayleigh damping: Numerical and experimental studies , 2011 .

[21]  H. Sohn,et al.  Second harmonic generation at fatigue cracks by low-frequency Lamb waves: experimental and numerical studies , 2018 .

[22]  Youxuan Zhao,et al.  Mixing of ultrasonic Lamb waves in thin plates with quadratic nonlinearity , 2018, Ultrasonics.

[23]  J. Berthelot,et al.  Damping analysis of composite materials and structures , 2008 .

[24]  N. Rajic,et al.  Adhesive material property evaluation for improved Lamb wave simulation , 2016 .

[25]  Wieslaw Ostachowicz,et al.  Wave propagation modeling in composites reinforced by randomly oriented fibers , 2018 .

[26]  R. Zitoune,et al.  An experimental investigation of the mechanical behavior and damage of thick laminated carbon/epoxy composite , 2018 .

[27]  Victor Giurgiutiu,et al.  Prediction of attenuated guided waves propagation in carbon fiber composites using Rayleigh damping model , 2015 .

[28]  Chao Zhang,et al.  Assessment of failure criteria and damage evolution methods for composite laminates under low-velocity impact , 2019, Composite Structures.

[29]  D. Tzetzis,et al.  Modal testing of epoxy carbon–aramid fiber hybrid composites reinforced with silica nanoparticles , 2016 .

[30]  Chao Zhang,et al.  Damage and failure mechanism of thin composite laminates under low-velocity impact and compression-after-impact loading conditions , 2019, Composites Part B: Engineering.

[31]  Fu-Kuo Chang,et al.  Identifying Delamination in Composite Beams Using Built-In Piezoelectrics: Part I—Experiments and Analysis , 1995 .

[32]  Kshitij Gupta,et al.  A study of damping in fiber-reinforced composites , 2003 .

[33]  David W. Greve,et al.  Energy scavenging for sensor applications using structural strains , 2003, SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring.