Place of publication: United States, Ann Arbor; ISBN=978-1-339-16139-6
M.S.
Mechanical Engineering
The Petroleum Institute (United Arab Emirates)
2015
Development of vibration-based structural health monitoring techniques requires the use of various computational methods to predict dynamic responses of damaged structures. The method described in this thesis can be used for computation of steady state harmonic responses for structures with fatigue cracks and may have several advantages over alternative techniques. Such advantages include ease of implementation of the method and time saving in computing the steady state response. The steady state response of the system at a given number of time points distributed over one vibration period is represented in terms of Fourier series containing higher frequency harmonics. Equations of motion are formulated in the form that allows for computation of Fourier coefficients for all terms in the series. Iterative procedure is used for determining the time of stiffness change in order to capture bilinear dynamic behavior.
Mechanical engineering
Applied sciences;Breathing crack;Computational method;Finite element analysis;Trigonometric collocation