Applied Element Method for Structural Analysis

Meguro, Kimiro; Tagel-Din, Hatem

doi:10.2208/jscej.2000.647_31

Cited by 79 publications

(49 citation statements)

References 4 publications

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“…The element stiffness matrix size is (6x6). The matrix in Equation 5 shows the components of the upper left quarter of the stiffness matrix [24]. All used notations in this matrix are shown in Figure 4.…”

Section: Formulation Of Stiffness Matrixmentioning

confidence: 99%

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Application of Aem in Progressive Collapse Dynamics Analysis of R.C. Structures

El-Mahdy¹,

El-Kasaby²,

Abusafa³

et al. 2017

CEJ

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The Finite Element Method (FEM) and the other numerical strategies are viably actualized in linear and non-linear analysis of structures. Recently, a new displacement based on Applied Element Method (AEM) has been developed. It is applicable for static and dynamic for both linear and non-linear analysis of framed and continuum structures. In AEM, the structural member is partitioned into virtual elements connected through normal and shear springs representing stresses and strains of certain portion of structure. FEM assumes the material as continuous and can indicate highly stressed region of structure, however it is difficult to model separation of element unless crack location is known. The main advantage of AEM is that it can track the structural collapse behavior going through all phases of the application of loads.In the current research, the application of AEM is illustrated through a non-linear dynamic analysis. Progressive collapse simulation is conducted using Extreme Loading for Structures software (ELS), which follows the AEM. The experimental and analytical works carried by Park et al. [17 and 28] for 1/5 scaled 3 and 5 stories reinforced concrete structures are used for verification. Good matching between the experimental and numerical results has been obtained using ELS. Therefore, it can be confirmed that ELS is capable in simulating the structures' behavior up to collapse.Furthermore, a study has been made to investigate the effect of considering the floor slabs on progressive collapse. The results show that considering slab in progressive collapse analysis of multistory buildings is important as neglecting the slabs' contribution leads to incorrect simulation and uneconomic design.

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Section: Formulation Of Stiffness Matrixmentioning

confidence: 99%

“…As the size of the AEM element is relatively small, the effect of the lumped mass is similar to that of a distributed mass. The mass matrix of a square element of thickness t is determined in Equation (6) [24]:…”

Section: Formulation Of Mass Matrixmentioning

confidence: 99%

Application of Aem in Progressive Collapse Dynamics Analysis of R.C. Structures

El-Mahdy¹,

El-Kasaby²,

Abusafa³

et al. 2017

CEJ

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“…This means that unlike FEM, there are no common nodes between elements. Therefore, large displacements and elements progressive separation can be simulated through successive failure of those springs [20].…”

Section: Application Of the Aem For Masonrymentioning

confidence: 99%

“…The components of the stiffness matrix is determined by calculating the forces required at the centroid of each element to restrain all other degrees of freedom, and to satisfy equilibrium conditions against the unit displacement at the corresponding degree of freedom. More information about the stiffness matrix can be found in [20].…”

Section: Fig (3)mentioning

confidence: 99%

Fragility Analysis of Existing Unreinforced Masonry Buildings through a Numerical-based Methodology

Karbassi¹,

Lestuzzi²

2012

TOCIEJ

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Abstract:As an approach to the problem of seismic vulnerability evaluation of existing buildings using the predicted vulnerability method, numerical models can be applied to define fragility curves of typical buildings which represent building classes. These curves can be then combined with the seismic hazard to calculate the seismic risk for a building class (or individual buildings). For some buildings types, mainly the unreinforced masonry structures, such fragility analysis is complicated and time consuming if a Finite Element-based method is used. The FEM model has to represent the structural geometry and relationships between different structural elements through element connectivity. Moreover, the FEM can face major challenges to represent large displacements and separations for progressive collapse simulations. Therefore, the Applied Element Method which combines the advantages of FEM with that of the Discrete Element Method in terms of accurately modelling a deformable continuum of discrete materials is used in this paper to perform the fragility analysis for unreinforced masonry buildings. To this end, a series of nonlinear dynamic analyses using the AEM has been performed for two unreinforced masonry buildings (a 6-storey stone masonry and a 4-storey brick masonry) using more than 50 ground motion records. Both in-plane and out-of-plane failure have been considered in the damage analysis. The distribution of the structural responses and inter-storey drifts are used to develop spectral-based fragility curves for the five European Macroseismic Scale damage grades.

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“…The research interest focuses on three main topics: impact, fracture and stress in homogeneous or compound material. Current studies cover impact behavior of automobile glass [12], fatigue or fracture of specimen under various stresses [13][14][15][16], and also stress in structures under large deformation [17] or loads [18].…”

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confidence: 99%

Reduction of discrete element models by Karhunen–Loève transform: a hybrid model approach

Glösmann

2009

Comput Mech

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The term "discrete element method" (DEM) in engineering science comprises various approaches to model physical systems by agglomerates of free particles. While shapes, sizes and properties of particles may vary, in most DEM models, particles are not confined by constraints, but subject to applied forces derived from potential fields and/or contact laws. This general approach allows for widespread use of DEM models for physical phenomena including gas dynamics, granular flow, fracture and impact analysis. However, its characteristic feature, combining particle restraints and forces into applied forces, does not only provide for flexible adaption of DEM to different physics, but also creates the most limiting restriction: Evaluation of the applied forces for each particle is computational expensive restraining the time sequence and sample size for numerical analyses. As an ansatz to circumvent this obstacle for a class of DEM models, we propose a model order reduction method based on coherency in the dynamics of particles. While initial flexibility of DEM is conserved, computational effort can be reduced significantly.

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Applied Element Method for Structural Analysis

Cited by 79 publications

References 4 publications

Application of Aem in Progressive Collapse Dynamics Analysis of R.C. Structures

Application of Aem in Progressive Collapse Dynamics Analysis of R.C. Structures

Fragility Analysis of Existing Unreinforced Masonry Buildings through a Numerical-based Methodology

Reduction of discrete element models by Karhunen–Loève transform: a hybrid model approach

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