On the use of multiple quasi-static mode compensation sets for component mode synthesis of complex structures

Shyu, Wen-Hwa; Gu, Jianmin; Hulbert, Gregory M.; Ma, Zheng-Dong

doi:10.1016/s0168-874x(99)00058-x

Cited by 30 publications

(21 citation statements)

References 3 publications

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“…The authors noted that this approach is "ideally suited for mid-band frequency analysis in which both high-frequency and low-frequency modes may be omitted." In a subsequent paper [32], criteria were presented for selecting the centering frequency and the quasi-static mode sets for both low-frequency and mid-frequency response calculations.…”

Section: Component Mode Synthesismentioning

confidence: 99%

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Mid-Frequency Dynamics of Complex Structural Systems: Assessing the State of the Art and Defining Future Research Directions

Pierre¹,

Castanier²

2002

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Public reporting burden for this collection of information is estimated to average 1 hour per response, including the time for reviewing instructions, searchi AUTHOR(S)PROFESSOR CHRISTOPHER PIERRE Approved for public rsleas3 ; distribution unlinätsd, PERFORMING ORGANIZATION NAME(S) AND ADDRESS(ES)8 ABSTRACT (Maximum 200 words)One of the last frontiers of structural dynamics is mid-frequency vibration analysis of complex structures. In the low-frequency range, finite element analysis (FEA) is well established as the standard method, However, as the frequency of vibration increases, the cost of FEA becomes prohibitive due to the necessary refinement of the finite element mesh to capture the shorter wavelength of vibration. Furthermore, the system response becomes sensitive to small parameter variations at higher frequencies, which means that a statistical analysis should be employed to make confident response predictions. In the high-frequency range, statistical energy analysis (SEA) is popular. However, SEA provides only averaged response predictions and cannot capture the resonant behavior in the response that becomes evident as frequency decreases. ABSTRACTOne of the last frontiers of structural dynamics is mid-frequency vibration analysis of complex structures. In the low-frequency range, finite element analysis (FEA) is well established as the standard method. However, as the frequency of vibration increases, the cost of FEA becomes prohibitive due to the necessary refinement of the finite element mesh to capture the shorter wavelength of vibration. Furthermore, the system response becomes sensitive to small parameter variations at higher frequencies, which means that a statistical analysis should be employed to make confident response predictions. In the high-frequency range, statistical energy analysis (SEA) is popular. However, SEA provides only averaged response predictions and cannot capture the resonant behavior in the response that becomes evident as frequency decreases. Thus, there exists a midfrequency range in which there is no established analysis technique analogous to FEA or SEA. The goal of this research is to produce a review paper on mid-frequency vibration analysis that will provide a survey of the relevant literature, identify the key technical challenges, formulate an assessment of the state of the art, and propose directions for future research. OBJECTIVESThe main objectives of this research are as follows: 1. Perform a comprehensive literature search on mid-frequency vibration analysis and related topics, and collect an extensive set of references 2. Review the relevant literature and summarize the mid-frequency approaches and techniques that have been developed to date 3. Assess the state of the art by determining the major research challenges in the field and drawing conclusions on research progress to date, including applications to realistic complex structures 4. Based on these findings, propose general directions and specific topics for future research 5. Write a review paper that p...

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Section: Component Mode Synthesismentioning

confidence: 99%

“…(AD gs ) mn = £aA™ (32) j where the summation is for all local component modes j in all short wavelength substructures. The term a is complex and accounts for frequency effects; it depends on the distribution of local natural frequencies, Uj, about the excitation frequency, u.…”

Section: Hybrid Fea/sea Formulationsmentioning

confidence: 99%

Mid-Frequency Dynamics of Complex Structural Systems: Assessing the State of the Art and Defining Future Research Directions

Pierre¹,

Castanier²

2002

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“…Among various model order reduction methods (see [16] for a review), the component mode synthesis method (CMS) [17][18][19][20][21] is a powerful technique for computing the eigen frequencies and eigen modes of large systems. In the CMS, a large structure is discretized into substructures or components.…”

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confidence: 99%

“…Since the shared DOFs of the substructures are directly included in the reduced-order global system, the size of the global system can also be large. Third, the classical CMS with static constraint mode can be inaccurate in computing intermediate and high frequencies [19,20]. To overcome these difficulties, in this paper, a multilevel component mode synthesis approach (MCMS) is proposed for the calculation of the PDOS of nanocomposite structures.…”

mentioning

confidence: 99%

“…To overcome these difficulties, in this paper, a multilevel component mode synthesis approach (MCMS) is proposed for the calculation of the PDOS of nanocomposite structures. This approach combines a multilevel description of the nanocomposite structure and a quasi-static component mode synthesis method (QSM) [19,20] to efficiently compute the PDOS. The first step of this approach is the hierarchical discretization of the nanostructure.…”

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confidence: 99%

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A multilevel component mode synthesis approach for the calculation of the phonon density of states of nanocomposite structures

2008

Comput Mech

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In this paper, a multilevel component mode synthesis (MCMS) approach is presented for the calculation of the phonon density of states (PDOS) of nanocomposite structures. In this approach, the nanocomposite structures are described by hierarchical levels of substructures. The phonon frequencies and modes are first computed for the bottom level substructures by using the theory of lattice dynamics. The computed component modes are then synthesized by using a quasi-static component mode synthesis (QSM) technique to obtain the phonon modes of the upper-level substructures in a bottom-up manner. By repeating this procedure, the PDOS of the entire nanostructure can be obtained. The proposed approach, while retains the atomic description of the nanocomposite structure, significantly reduces the computational cost of the calculation. Numerical calculations show that the proposed approach provides accurate results with a much less computational cost. The PDOS of several 1-D atom chains and 2-D atom sheets are computed by using the MCMS.

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A multiscale component mode synthesis approach for dynamic analysis of nanostructures

Lan

2012

Numerical Meth Engineering

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SUMMARY A component mode synthesis‐based multiscale approach is developed for dynamic analysis of nanostructures. The multiscale approach decomposes a nanostructure into atomistic and continuum regions and employs vibrational modes to connect the regions of different scales, enabling a reflectionless atomistic‐to‐continuum coupling. Dynamic response of the coupled atomistic and continuum regions is computed concurrently using a common time scale. Numerical results indicate that the multiscale approach has significant condensation and scaling advantages, and it is well suited for modeling and simulation of large and complex systems. Copyright © 2012 John Wiley & Sons, Ltd.

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On the use of multiple quasi-static mode compensation sets for component mode synthesis of complex structures

Cited by 30 publications

References 3 publications

Mid-Frequency Dynamics of Complex Structural Systems: Assessing the State of the Art and Defining Future Research Directions

Mid-Frequency Dynamics of Complex Structural Systems: Assessing the State of the Art and Defining Future Research Directions

A multilevel component mode synthesis approach for the calculation of the phonon density of states of nanocomposite structures

A multiscale component mode synthesis approach for dynamic analysis of nanostructures

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