What does this research mean for the field?

A unified modeling framework based on first-order shear deformation theory and an artificial spring scheme accurately predicts the free vibration and loss factor characteristics of damping sandwich rotational plates, demonstrating that structural parameters and boundary conditions significantly dictate natural frequencies and loss factors. Novelty: ClaimNovelty.METHODOLOGICAL. Consensus alignment: ConsensusAlignment.NEUTRAL.

What question did this study set out to answer?

To establish a unified modeling framework for predicting the free vibration characteristics and damping loss factors of damping sandwich rotational plate structures under various boundary conditions.

August 22, 2026VibrationOpen Access

Free Vibration Characteristics Analysis of Damping Sandwich Rotational Plate Structures

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Authors

ZLZengjun Lu XZXinlong Zhu RTRongjiang Tang

Discussion

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Overview

Computational modeling demonstrates how layer thickness and boundary constraints modulate natural frequencies in sandwich rotational plates, highlighting geometry-dependent vibration behavior.

Key Points

To establish a unified modeling framework for predicting the free vibration characteristics and damping loss factors of damping sandwich rotational plate structures under various boundary conditions.
Formulated governing equations combining first-order shear deformation theory, the zigzag hypothesis, interlayer displacement continuity, and an artificial spring scheme.
Discretized displacement unknowns using first-kind Chebyshev polynomials and solved the eigenvalue problem with the Rayleigh–Ritz method, validating models against finite element analyses.
Increasing structural thickness effectively raised natural frequencies by more than 110 Hz when only the outer circular edge was fixed, accompanied by a significant decrease in the loss factor.
Expanding the inner diameter reduced the low-frequency region area, where frequency differences between opposite sides exceeded 40 Hz when inner and outer layer thicknesses were nearly identical.
Clamping solely the outer boundary caused annular plates to exhibit natural frequencies more than twice as high as solid rotational plates, though solid plates yielded higher loss factors.

Cite This Study

Lu et al. (2026) studied this question.

synapsesocial.com/papers/6a895f62ca7ade938187df8d https://doi.org/10.3390/vibration9030053

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August 22, 2026VibrationOpen Access

Free Vibration Characteristics Analysis of Damping Sandwich Rotational Plate Structures

View Full Paper

Ask AI

Bookmark

Authors

ZLZengjun Lu XZXinlong Zhu RTRongjiang Tang

Discussion

Member takes

Overview

Computational modeling demonstrates how layer thickness and boundary constraints modulate natural frequencies in sandwich rotational plates, highlighting geometry-dependent vibration behavior.

Key Points

To establish a unified modeling framework for predicting the free vibration characteristics and damping loss factors of damping sandwich rotational plate structures under various boundary conditions.
Formulated governing equations combining first-order shear deformation theory, the zigzag hypothesis, interlayer displacement continuity, and an artificial spring scheme.
Discretized displacement unknowns using first-kind Chebyshev polynomials and solved the eigenvalue problem with the Rayleigh–Ritz method, validating models against finite element analyses.
Increasing structural thickness effectively raised natural frequencies by more than 110 Hz when only the outer circular edge was fixed, accompanied by a significant decrease in the loss factor.
Expanding the inner diameter reduced the low-frequency region area, where frequency differences between opposite sides exceeded 40 Hz when inner and outer layer thicknesses were nearly identical.
Clamping solely the outer boundary caused annular plates to exhibit natural frequencies more than twice as high as solid rotational plates, though solid plates yielded higher loss factors.

Cite This Study

Lu et al. (2026) studied this question.

synapsesocial.com/papers/6a895f62ca7ade938187df8d https://doi.org/10.3390/vibration9030053

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