Vibration transmission through periodic structures using a mobility power flow approach

Cuschieri, J. M.

doi:10.1016/0022-460x(90)90568-k

Cited by 35 publications

(20 citation statements)

References 6 publications

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“…Mead et al [12] studied power transmission in a periodically supported in"nite beam subject to a single excitation. Cuschieri [13,14] used a mobility approach to analyze the power #ow in periodically connected beams and¸-plates subject to a single excitation. Farag and Pan [15] extended Cuschieri's work to coupled two-dimensional beam structures with multiple joints under in-plane loading.…”

Section: Introductionmentioning

confidence: 99%

Power Flow Analysis of Complex Coupled Systems by Progressive Approaches

Xiong

Xing²,

Price³

2001

Journal of Sound and Vibration

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Section: Introductionmentioning

confidence: 99%

Power Flow Analysis of Complex Coupled Systems by Progressive Approaches

Xiong

Xing²,

Price³

2001

Journal of Sound and Vibration

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“…In 1990, Cuschieri extended the MPF technique to periodic structures [161], using a multi-span beam as the example system, as well as to structures with line joints [160] rather than just point coupling, using an L-shaped plate as the example system. He also noted the advantages of the MPF approach:…”

Section: Power Flow Analysismentioning

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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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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“…The fundamental concept of power flow is discussed by Goyder and White [1] and Pinnington and White [2]. In recent years, this approach has been developed and applied to model complex structure [3][4][5][6][7][8][9][10][11][12] and to assess passive, active and vibration control system [8,[13][14][15][16][17]. Langley [3] presented the dynamic stiffness method to investigate forced vibration of a row of stiffened rectangular panels, simply supported along the longitudinal edges.…”

Section: Introductionmentioning

confidence: 99%

“…Clarkson [4] applied the receptance method to investigate the transmission of vibrational energy across structural joints of connected beams and connected plates. Cuschieri [5] used a mobility method to analyse the power flow in periodically connected beams and L-plates subject to a single excitation. Hussein and Hunt [6] applied the mean power flow method to evaluate the effectiveness of vibration countermeasures of an underground tunnel model which consisted of Euler-Bernoulli beams to account for the rails and the track slab.…”

Section: Introductionmentioning

confidence: 99%

Power flow analysis for a floating sandwich raft isolation system using a higher-order theory

Choi¹,

Xiong²,

Shenoi³

2009

Journal of Sound and Vibration

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A higher-order sandwich theory is implemented in conjunction with an equivalent mobility-based power flow progressive method to determine power flow for a sandwich configured floating raft vibration isolation system. The power spectrum changes in whole frequency range effectively when core materials' properties change. It is also shown that the loss factors of the sandwich configured floating raft influence the power flow transmitted to the foundation effectively in the medium-to high-frequency range and that the resonant peak cannot be avoided by increasing damping only in highfrequency ranges which is not found in floating raft isolation systems with isotropic beams. r

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Vibration transmission through periodic structures using a mobility power flow approach

Cited by 35 publications

References 6 publications

Power Flow Analysis of Complex Coupled Systems by Progressive Approaches

Power Flow Analysis of Complex Coupled Systems by Progressive Approaches

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

Power flow analysis for a floating sandwich raft isolation system using a higher-order theory

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