Deterministic and stochastic free vibration analysis of CNT reinforced functionally graded cantilever plates.

Mehulkumar Padhiyar, Pradeep Kumar Karsh, Gaurav Kumar Bandhania

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Article in Scientific reports, 2025. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.

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3 authors.

Mehulkumar PadhiyarDepartment of Mechanical Engineering, Parul Institute of Engineering & Technology, FET, Parul University, Vadodara, India.

Pradeep Kumar KarshDepartment of Mechanical Engineering, Parul Institute of Engineering & Technology, FET, Parul University, Vadodara, India. pradeepkarsh@gmail.com.

Gaurav Kumar BandhaniaDepartment of Mechanical Engineering, Parul Institute of Engineering & Technology, FET, Parul University, Vadodara, India.

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6 · The paper itself

Abstract

This paper presents both deterministic and stochastic free vibration analyses of carbon nanotube (CNT)-reinforced multi-layered functionally graded material (FGM) cantilever plates. The reinforcement varies linearly following a power-law distribution. The governing equation is derived using the first-order shear deformation theory (FSDT), while the rule of mixtures is applied to determine the effective elastic modulus, mass density, and Poisson's ratio of the CNT-reinforced FGM plate. A finite element-based Monte Carlo simulation (MCS) is employed for the stochastic analysis. The study begins with a validation of the finite element model by comparing the obtained results with existing literature. Subsequently, a parametric investigation is conducted, examining the effects of stochasticity percentage, power law index, plate thickness, volume fraction, temperature, and CNT size. Additionally, mode shapes for the first three vibration modes are plotted. The findings reveal that all these parameters significantly influence the first three natural frequencies.

Indexed as

CNT reinforced FGMFinite element analysisMode shapesMonte carlo simulationNatural frequenciesStochastic analysis

Identifiers

PMID40877381

DOI10.1038/s41598-025-17086-y

PMCPMC12394708

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LicenceCC BY-NC-ND

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.