Fuzzy-stochastic coupled models for broadband noise radiation from flexible

Suleiman Ibrahim  Mohammad; Yogeesh  Nijalingappa; Basem Abu  Zneid; Shashikumar Honnavalli  Channabasavaiah; Asokan  Vasudevan; Jayaprakasha  Pathiyappanapallya Chandraiah

doi:10.59400/sv4070

Fuzzy-stochastic coupled models for broadband noise radiation from flexible

Suleiman Ibrahim Mohammad
Research Fellow, INTI International University, Nilai 71800, Malaysia
Yogeesh Nijalingappa
Research Fellow, INTI International University, Nilai 71800, Malaysia; Department of Mathematics, Government First Grade College, Tumkur 572102, India
Basem Abu Zneid
Faculty of Engineering, Hourani Center for Applied Scientific Research, Al-Ahliyya Amman University, Amman 19111, Jordan
Shashikumar Honnavalli Channabasavaiah
Department of Mathematics, Government First Grade College, Tiptur 572201, India
Asokan Vasudevan
Faculty of Business and Communications, INTI International University, Nilai 71800, Malaysia
Jayaprakasha Pathiyappanapallya Chandraiah
Department of Mathematics, Government First Grade College for Women, Tumkur 572102, India

Article ID: 4070

Keywords: broadband vibro-acoustics; flexible panels; radiated sound power; fuzzy sets; α-cuts; random vibration; cross-spectral density; uncertainty quantification

Abstract

Broadband noise radiation from flexible panels is governed by the coupling of random excitation fields with uncertain structural and boundary parameters. This paper develops a fuzzy-stochastic vibro-acoustic framework that separates (i) aleatory uncertainty in the broadband pressure field from (ii) epistemic uncertainty in panel properties and mount conditions. The panel dynamics are modeled in the frequency domain using a modal or finite-element representation of the thin-plate operator, while acoustic radiation is evaluated through a baffle-mounted radiation model leading to radiated sound power spectra. Random excitation is represented by the pressure cross spectral density, enabling direct propagation of spectral statistics to displacement and velocity cross-spectra via linear transfer functions. Epistemic uncertainty in Young's modulus, thickness, and loss factor is represented by fuzzy numbers and propagated through α-cuts, yielding interval-valued parameter sets at each α level. The coupling is implemented using an α-cut outer loop with a stochastic inner solver that computes mean and variance of radiated sound power; α-level interval extrema then provide fuzzy envelopes of stochastic response metrics. Verification is performed through modal truncation, frequency-grid stability, and α-grid refinement. Numerical demonstrations using representative datasets show that epistemic uncertainty can induce wide bands in band-integrated sound power level (≈9.9 dB in the 100–1,000 Hz band at α = 0), and that percentile metrics (e.g., 95th percentile under a lognormal approximation) provide conservative bounds for design decision-making. The proposed framework offers a transparent and computationally tractable route to uncertainty-aware broadband vibro-acoustic prediction for panels in vehicles, buildings, and machinery enclosures.

Published

2026-04-30

How to Cite

Mohammad, S. I., Nijalingappa, Y., Zneid, B. A., Channabasavaiah, S. H., Vasudevan, A., & Pathiyappanapallya Chandraiah, J. (2026). Fuzzy-stochastic coupled models for broadband noise radiation from flexible. Sound & Vibration, 6(3). https://doi.org/10.59400/sv4070

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Vol. 60 No. 3 (2026): in progress

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This work is licensed under a Creative Commons Attribution 4.0 International License.

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Fuzzy-stochastic coupled models for broadband noise radiation from flexible

Abstract

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