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Alain Le Bot - One of the best experts on this subject based on the ideXlab platform.

  • Review of statistical energy analysis hypotheses in vibroacoustics
    Proceedings of the Royal Society A: Mathematical Physical and Engineering Sciences, 2014
    Co-Authors: Thibault Lafont, Nicolas Totaro, Alain Le Bot
    Abstract:

    This paper is a discussion of the equivalence between rain-on-the-roof excitation, diffuse field and modal energy equipartition hypotheses when using statistical energy analysis (SEA). A first example of a Simply Supported Plate is taken to quantify whether a field is diffuse or the energy is equally distributed among modes. It is shown that the field can be diffuse in a certain region of the frequency-damping domain with a single point force but without energy equipartition. For a rain-on-the-roof excitation, the energy becomes equally distributed, and the diffuse field is enforced in all regions. A second example of two Plates coupled by a light spring is discussed. It is shown that in addition to previous conclusions, the power exchanged between Plates agrees with the statistical prediction of SEA if and only if the field is diffuse. The special case of energy equipartition confirms this observation.

  • STATISTICAL ENERGY ANALYSIS: CORRELATION BETWEEN DIFFUSE FIELD AND ENERGY EQUIPARTITION
    2013
    Co-Authors: Thibault Lafont, Alain Le Bot, Nicolas Totaro
    Abstract:

    This paper studies two concepts used in Statistical Energy Analysis (SEA): the diffuse field and the energy equipartition. To study the equivalence between these concepts the example of a Simply Supported Plate is taken. First, the degree of diffuseness of the field is quantified by a simple criterion. Then, extracting information from an analytical model, the standard deviation of modal energies is evaluated. Two maps are drawn on the frequency-damping plane in both cases. These maps allow correlating concepts of diffuse field and energy equipartition and validity diagrams defined by Le Bot.

Thibault Lafont - One of the best experts on this subject based on the ideXlab platform.

  • Review of statistical energy analysis hypotheses in vibroacoustics
    Proceedings of the Royal Society A: Mathematical Physical and Engineering Sciences, 2014
    Co-Authors: Thibault Lafont, Nicolas Totaro, Alain Le Bot
    Abstract:

    This paper is a discussion of the equivalence between rain-on-the-roof excitation, diffuse field and modal energy equipartition hypotheses when using statistical energy analysis (SEA). A first example of a Simply Supported Plate is taken to quantify whether a field is diffuse or the energy is equally distributed among modes. It is shown that the field can be diffuse in a certain region of the frequency-damping domain with a single point force but without energy equipartition. For a rain-on-the-roof excitation, the energy becomes equally distributed, and the diffuse field is enforced in all regions. A second example of two Plates coupled by a light spring is discussed. It is shown that in addition to previous conclusions, the power exchanged between Plates agrees with the statistical prediction of SEA if and only if the field is diffuse. The special case of energy equipartition confirms this observation.

  • STATISTICAL ENERGY ANALYSIS: CORRELATION BETWEEN DIFFUSE FIELD AND ENERGY EQUIPARTITION
    2013
    Co-Authors: Thibault Lafont, Alain Le Bot, Nicolas Totaro
    Abstract:

    This paper studies two concepts used in Statistical Energy Analysis (SEA): the diffuse field and the energy equipartition. To study the equivalence between these concepts the example of a Simply Supported Plate is taken. First, the degree of diffuseness of the field is quantified by a simple criterion. Then, extracting information from an analytical model, the standard deviation of modal energies is evaluated. Two maps are drawn on the frequency-damping plane in both cases. These maps allow correlating concepts of diffuse field and energy equipartition and validity diagrams defined by Le Bot.

Nicolas Totaro - One of the best experts on this subject based on the ideXlab platform.

  • Review of statistical energy analysis hypotheses in vibroacoustics
    Proceedings of the Royal Society A: Mathematical Physical and Engineering Sciences, 2014
    Co-Authors: Thibault Lafont, Nicolas Totaro, Alain Le Bot
    Abstract:

    This paper is a discussion of the equivalence between rain-on-the-roof excitation, diffuse field and modal energy equipartition hypotheses when using statistical energy analysis (SEA). A first example of a Simply Supported Plate is taken to quantify whether a field is diffuse or the energy is equally distributed among modes. It is shown that the field can be diffuse in a certain region of the frequency-damping domain with a single point force but without energy equipartition. For a rain-on-the-roof excitation, the energy becomes equally distributed, and the diffuse field is enforced in all regions. A second example of two Plates coupled by a light spring is discussed. It is shown that in addition to previous conclusions, the power exchanged between Plates agrees with the statistical prediction of SEA if and only if the field is diffuse. The special case of energy equipartition confirms this observation.

  • STATISTICAL ENERGY ANALYSIS: CORRELATION BETWEEN DIFFUSE FIELD AND ENERGY EQUIPARTITION
    2013
    Co-Authors: Thibault Lafont, Alain Le Bot, Nicolas Totaro
    Abstract:

    This paper studies two concepts used in Statistical Energy Analysis (SEA): the diffuse field and the energy equipartition. To study the equivalence between these concepts the example of a Simply Supported Plate is taken. First, the degree of diffuseness of the field is quantified by a simple criterion. Then, extracting information from an analytical model, the standard deviation of modal energies is evaluated. Two maps are drawn on the frequency-damping plane in both cases. These maps allow correlating concepts of diffuse field and energy equipartition and validity diagrams defined by Le Bot.

Mihai Nedelcu - One of the best experts on this subject based on the ideXlab platform.

  • Semi-Analytical Solutions for the Uniformly Compressed Simply Supported Plate with Large Deflections
    International Journal of Structural Stability and Dynamics, 2020
    Co-Authors: Mihai Nedelcu
    Abstract:

    The thin plane Plates are largely used in practice as single elements or as components of the thin-walled structures, and their behavior under compression is characterized by large post-buckling load-carrying capacity. Various semi-analytical solutions of the uniformly compressed Simply Supported Plate with large deflections were formulated almost a century ago, mainly solving the fundamental equations governing the deformation of thin Plates, or using classic energy methods. Due to several shortcomings, none of these solutions were introduced in the design codes of thin-walled members. This paper presents new semi-analytical solutions based on classic energy methods. The main innovation is brought by the considered displacement field which is far more accurate than the ones used by the previous formulations. The initial geometric imperfections are considered, and the proposed solutions are validated against numerical solutions and experimental data. The validation is also Supported by a publicly available software application.

  • Semi-Analytical Solutions for the Uniformly Compressed Simply Supported Plate with Large Deflections
    International Journal of Structural Stability and Dynamics, 2020
    Co-Authors: Mihai Nedelcu
    Abstract:

    The thin plane Plates are largely used in practice as single elements or as components of the thin-walled structures, and their behavior under compression is characterized by large post-buckling lo...

H R H Kabir - One of the best experts on this subject based on the ideXlab platform.