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The engineering practice shows that very often, fracture is the critical failure mode in structural members composed by functionally graded materials.
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Coupled structures under random excitation are modelled as a quasi-integrable Hamiltonian system of multi-degree-of-freedom and the reduced-order model in structural mode space is formulated.
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The book aims to discuss the latest developments in computational theories on multiple-crack analysis and mixed-mode fracture in structural concrete and the application of these theories to solve important engineering problems.
By using this method, all cross-correlation terms between normal modes in a structural response can be retained naturally, and the non-orthogonal structural damping or stiffness properties can be handled accurately.
This paper builds on the work in tracking modes in a structural context, using the Modal Assurance Criterion (MAC) to numerically relate modes from two comparable linear systems.
In addition, because various failure modes in a structural system can lead to different consequences (including damage costs), a method is introduced to compute optimality factors for designated failure modes.
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Extrapolation to prototype responses requires addition correction to take into account the differences both in structural mode shape and in spanwise correlation of excitation forces between the section model and the prototype.
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