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Damage evaluation of Timoshenko beams using invariant stress resultants
Highlights A damage evaluation methodology based on the Timoshenko beam theory is proposed. The method is suited for analyzing structures with comparatively higher aspect ratios (depth/length) than the slender beams. Two-dimensional FE models of cantilever and fixed-fixed beams are used to evaluate the methodology. Damage is successfully localized and quantified with the proposed technique irrespective of the boundary conditions.
Abstract This paper presents an explicit damage evaluation methodology that utilizes the fundamental principles of mechanics to relate the changes in the physical properties of an undamaged and damaged structure to measurable response quantities. The proposed methodology is based on the principle of invariant stress resultants and the Timoshenko beam theory. First, damage in a structure is expressed in terms of local decreases in the bending stiffnesses of structural members. These stiffness decreases are in turn related to appropriate response quantities utilizing the Timoshenko beam theory. Next, a set of numerical experiments using results from two dimensional finite element models of cantilever and fixed–fixed beams are introduced to evaluate the performance of the proposed damage evaluation scheme. Results indicate that the proposed methodology can identify the location, the extent, and the severity of the local stiffness degradations in beams of arbitrary aspect ratios.
Damage evaluation of Timoshenko beams using invariant stress resultants
Highlights A damage evaluation methodology based on the Timoshenko beam theory is proposed. The method is suited for analyzing structures with comparatively higher aspect ratios (depth/length) than the slender beams. Two-dimensional FE models of cantilever and fixed-fixed beams are used to evaluate the methodology. Damage is successfully localized and quantified with the proposed technique irrespective of the boundary conditions.
Abstract This paper presents an explicit damage evaluation methodology that utilizes the fundamental principles of mechanics to relate the changes in the physical properties of an undamaged and damaged structure to measurable response quantities. The proposed methodology is based on the principle of invariant stress resultants and the Timoshenko beam theory. First, damage in a structure is expressed in terms of local decreases in the bending stiffnesses of structural members. These stiffness decreases are in turn related to appropriate response quantities utilizing the Timoshenko beam theory. Next, a set of numerical experiments using results from two dimensional finite element models of cantilever and fixed–fixed beams are introduced to evaluate the performance of the proposed damage evaluation scheme. Results indicate that the proposed methodology can identify the location, the extent, and the severity of the local stiffness degradations in beams of arbitrary aspect ratios.
Damage evaluation of Timoshenko beams using invariant stress resultants
Dincal, S. (author) / Stubbs, N. (author)
Engineering Structures ; 56 ; 2052-2064
2013-08-15
13 pages
Article (Journal)
Electronic Resource
English
Damage evaluation of Timoshenko beams using invariant stress resultants
| Online Contents | 2013
Springer Verlag | 2009