Complex Envelope Displacement Analysis: A Quasi-Static Approach to Vibrations

Carcaterra, Antonio; Sestieri, A.

doi:10.1006/jsvi.1996.0748

Cited by 22 publications

(16 citation statements)

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“…The technique is based ELASTIC SHOCK IN WATER IMPACT on the idea of a shock spectral approach that is carried on by using the Hilbert envelope [22], the Schwartz inequality and some results of the previous section.…”

Section: Continuous Flexural Structurementioning

confidence: 99%

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Shock Spectral Analysis of Elastic Systems Impacting on the Water Surface

Carcaterra

Ciappi

Iafrati

et al. 2000

Journal of Sound and Vibration

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Section: Continuous Flexural Structurementioning

confidence: 99%

“…The modulus of the analytic signal provides the so-called Hilbert envelope [22], that is actually the envelope of the time history of the signal itself. This analysis is extremely useful to cancel out the time dependencies of the system response while holding its maximum value.…”

Section: Structural Response Via the Hilbert Envelope And Schwarz Inementioning

confidence: 99%

Shock Spectral Analysis of Elastic Systems Impacting on the Water Surface

Carcaterra

Ciappi

Iafrati

et al. 2000

Journal of Sound and Vibration

Self Cite

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“…They also warned that "it is dangerous to use the thermal analogy as an almost exact approach to describe the time-averaged energy density, especially for complex structures." They later tried to overcome the limitations of the thermal analogy with their "envelope energy" models [120,121]. In 1999, Xing and Price [122] also noted the general lack of similarity between mechanical and thermal energy concepts, and they introduced an alternative power flow analysis based on the governing equations of continuum mechanics.…”

Section: Vibrational Conductivity Power Flow and Energy Feamentioning

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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“…However, a pitfall of CEDA relies in the presence of a spurious solution [1]. Actually, this is not a problem for one-dimensional structures because it can be simply eliminated, but it represents real trouble for two-and three-dimensional systems.…”

Section: Introductionmentioning

confidence: 99%

“…In reference [1] a complex envelope displacement analysis (CEDA) was developed, able to predict an envelope solution for high-frequency structural problems with a low computational burden, typical of low-frequency dynamics, so that it appears to be quite promising for further extensions in studying structural}acoustic coupled problems. However, a pitfall of CEDA relies in the presence of a spurious solution [1].…”

Section: Introductionmentioning

confidence: 99%