ISSN:
1662-7482
Source:
Scientific.Net: Materials Science & Technology / Trans Tech Publications Archiv 1984-2008
Topics:
Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
Notes:
Recent NATO funded research on methods for detection and interpretationmethodologies for damage detection in aircraft panel structures has motivated work on low-ordernonlinear analytical modelling of vibrations in cracked isotropic plates, typically in the form ofaluminium aircraft panels. The work applies fundamental aspects of fracture mechanics to define anelliptical crack, and the local stress field and loading conditions, arbitrarily located at some point inthe plate, and then derives an analytical expression for this that can be incorporated into the PDE foran edge loaded plate with various possible boundary conditions. The plate PDE is converted into anonlinear Duffing-type ODE in the time domain by means of a Galerkin procedure and then anarbitrarily small perturbation parameter is introduced into the equation in order to apply anappropriate solution method, in this case the method of multiple scales. This is used to solve theequation for the vibration in the cracked plate for the chosen boundary conditions, which, in turn,leads to an approximate analytical solution. The solution is discussed in terms of the perturbationapproximations that have been applied and highlights the phenomenology inherent within theproblem via the specific structures of the analytical solution
Type of Medium:
Electronic Resource
URL:
http://www.tib-hannover.de/fulltexts/2011/0528/01/39/transtech_doi~10.4028%252Fwww.scientific.net%252FAMM.5-6.315.pdf
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