Structural Synthesis in the Frequency Domain: A General Formulation

Gordis, Joshua H.

doi:10.1155/1994/947253

Cited by 13 publications

(9 citation statements)

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“…A natural extension of this technique would be the addition, analytically, of lumped masses or springs to measured dof using frequency domain synthesis [6]. This approach provides an exact modi"cation of the frequency response functions to provide modal information.…”

Section: Summary and Discussionmentioning

confidence: 99%

Artificial Boundary Conditions for Model Updating and Damage Detection

Gordis

1999

Mechanical Systems and Signal Processing

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Section: Summary and Discussionmentioning

confidence: 99%

Artificial Boundary Conditions for Model Updating and Damage Detection

Gordis

1999

Mechanical Systems and Signal Processing

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“…Frequency domain synthesis is a general formulation for structural modification and substructure coupling [6,7]. Using frequency response functions (FRF) to represent the substructures, the formulation is exact and as a minimum, requires only FRF at the coupling DOF.…”

Section: Frequency Domain Substructuringmentioning

confidence: 99%

“…In Ref. [6,7,9], it is shown that the mapping matrices are related to directed graphs, which can be used to graphically portray the synthesis, and can also be found from equilibrium of the connection. The mapping matrices are associated with "reduced" impedances for an interconnecting impedance, and the reduced impedanceZ for single spring-to-ground is,…”

Section: Frequency Domain Substructuringmentioning

confidence: 99%

“…In contrast to component mode synthesis, here we will make use of a coupling procedure which is distinguished by its functioning solely in physical coordinates, and which requires the retention of coupling DOF only from each of the substructures. A significant literature exists on this topic; see for example [1][2][3][4][5][6][7]. A frequency domain formulation [6,7] which was adopted in the present work, represents substructures by frequency response functions (FRF) calculated at the connect DOF.…”

Section: Introductionmentioning

confidence: 99%

“…A significant literature exists on this topic; see for example [1][2][3][4][5][6][7]. A frequency domain formulation [6,7] which was adopted in the present work, represents substructures by frequency response functions (FRF) calculated at the connect DOF. Using the FRF of the substructures, which need be calculated only once, the coupled system frequency response can be directly synthesized.…”

Section: Introductionmentioning

confidence: 99%

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Frequency Domain Structural Synthesis Applied to Quasi-Static Crack Growth Modeling

Kwon

Gordis

2009

Shock and Vibration

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Quasi-static crack growth in a composite beam was modeled using the structural synthesis technique along with a finite element model. The considered crack was an interface crack in the shear mode (i.e. mode II), which occurs frequently in the scarf joint of composite structures. The analysis model was a composite beam with an edge crack at the midplane of the beam subjected to a three-point bending load. In the finite element model, beam finite elements with translational degrees of freedom only were used to model the crack conveniently. Then, frequency domain structural synthesis (substructure coupling) was applied to reduce the computational time associated with a repeated finite element calculation with crack growth. The quasi-static interface crack growth in a composite beam was predicted using the developed computational technique, and its result was compared to experimental data. The computational and experimental results agree well. In addition, the substructure-based synthesis technique showed the significantly improved computational efficiency when compared to the conventional full analysis.

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A dynamic stiffness formulation for the analysis of secondary systems

Bernal

1999

Earthquake Engng. Struct. Dyn.

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SUMMARYFormulation of a frequency-domain substructure approach for the analysis of secondary systems is presented. The total system contemplated includes the primary structure, the secondary system, and the foundation medium, which is also treated as a substructure. A dynamic sti!ness matrix in physical co-ordinates characterizes each one of the substructures. Elimination of the internal degrees of freedom of the primary structure prior to assembly of the equations for the coupled system is carried out with the aid of a truncated set of unconstrained normal modes. Accounting for the residual static #exibility of the truncated modes obviates potential problems of rank de"ciency resulting from modal truncation. The formulation contemplates an arbitrary multi-component scattered motion at the soil}structure interface and imposes no limitations on the con"guration of the primary or the secondary system. Connectivity between the systems is treated as an arbitrary linear relation between selected co-ordinates in each substructure. This feature is shown to be useful for modelling the commonly encountered situation where secondary systems are attached to torsionally eccentric structures.

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Structural Synthesis in the Frequency Domain: A General Formulation

Cited by 13 publications

References 0 publications

Artificial Boundary Conditions for Model Updating and Damage Detection

Artificial Boundary Conditions for Model Updating and Damage Detection

Frequency Domain Structural Synthesis Applied to Quasi-Static Crack Growth Modeling

A dynamic stiffness formulation for the analysis of secondary systems

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