A general theory for frequency domain structural synthesis

Gordis, Joshua H.; Bielawa, Richard L.; Flannelly, William G.

doi:10.1016/0022-460x(91)90407-b

Cited by 25 publications

(17 citation statements)

References 5 publications

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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 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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Section: Frequency Domain Substructuringmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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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“…[3,5] that only a single matrix inversion of size nc x nc is required for this coupling algorithm, which is a significant improvement over the traditional approach. The theory has been generalized to incorporate Boolean mapping matrices, called connectivity matrices, that define the structural interconnections [5]. The generalized relation is:…”

Section: Generalized Frf Impedance Coupling Techniquementioning

confidence: 99%

Application of Frequency Domain Substructure Synthesis Technique for Plates loaded with Complex Attachments

Campbell¹,

Hambric²

2004

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“…The theory has been generalized to incorporate Boolean mapping matrices, called connectivity matrices [9], that define the structural interconnections. The generalized relation is shown below in Equation 13.…”

Section: Generalized Frf Impedance Coupling Techniquementioning

confidence: 99%

Substructure Synthesis Methods and Their Application to Structural-Acoustic Simulations

Campbell¹,

Pray²

2005

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The public reporting burden for this collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searching existing data sources, gathering and maintaining the data needed, and completing and reviewing the collection of information. Abstract: An overview of impedance-and modal-based substructure analysis techniques used in the Structural Acoustics Department is presented. The impedance technique described herein offers a substantial advantage over other coupling techniques because it is uniquely suited to handle data sets of varying origin. Of particular interest is the combination of numerically and experimentally derived frequency response data, which is especially useful for analyzing structures comprised of components too complex to model using the finite element technique. The impedance-based method is derived from the frequency domain substructure synthesis algorithm introduced by Jetmundsen et al [1], which offers a significant improvement over the traditional frequency domain technique in terms of the processing requirements. The modal-based methods involve the coupling of substructure eigenanalysis results to arrive at coupled system (complex-valued) eigenvectors and allow forced response simulations for the coupled system. This method offers an alternative to traditional techniques employed by commercial finite element codes. Limitations of both techniques are identified and discussed along with potential methods for avoiding these shortcomings. Several example problems are presented that show each method's usefulness.Hi

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A general theory for frequency domain structural synthesis

Cited by 25 publications

References 5 publications

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

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

Application of Frequency Domain Substructure Synthesis Technique for Plates loaded with Complex Attachments

Substructure Synthesis Methods and Their Application to Structural-Acoustic Simulations

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