article · Waves in Random and Complex Media
An analytical framework evaluates the free vibration behaviour of functionally graded porous curved nanobeams supported by an elastic medium under combined moisture, temperature, and mechanical loads. The formulation applies Hamilton's principle alongside quasi-three-dimensional higher-order shear deformation beam theory and nonlocal elasticity theory. Material properties shift across the thickness of the beam according to a power-law distribution, while internal porosity follows either an even or uneven pattern. Moisture and temperature effects are modelled as in-plane tension loads without altering intrinsic material properties. The surrounding elastic medium is represented by a Winkler-Pasternak model. Solutions generated through Chebyshev polynomials with the Rayleigh-Ritz method and Navier's technique match established findings in published research, clarifying how curvature radius, porosity, nonlocal effects, foundation stiffness, and boundary constraints alter structural vibration frequencies.
Nanoscale components often encounter complex mechanical stresses alongside environmental heat and moisture during operation. Developing precise mathematical formulations allows engineers to anticipate how porous nanomaterials vibrate and deform under these combined loads. This fundamental mechanical understanding helps avoid structural failures caused by unintended resonance in sensitive micro- and nano-engineered systems.
This theoretical study provides computational modelling approaches that could inform the structural design of advanced composite components in micro- and nano-electromechanical systems. The research represents early-stage analytical work and lacks experimental testing or a defined manufacturing process. Consequently, the findings require extensive physical validation before they can be adopted by engineering software developers or device manufacturers.
AI-generated from the published abstract. Always read the original work before citing.
This paper presents an analytical solution using Chebyshev polynomials based on Rayleigh–Ritz method and Navier's solution to analyze the free vibration response of functionally graded porous (FGP) curved nanobeams embedded resting on an elastic medium under hygro-thermo-mechanical load. Applying Hamilton's principle based on the quasi-3D higher-order shear deformation beam theory and the nonlocal elasticity theory, the governing equation of FGP curved nanobeam is derived. Material properties of nanobeam continuously change through the thickness via a power-law distribution and porosity distribution is described by two laws including even porosity distribution and uneven porosity distribution, respectively. The impact of thermal and moisture on structures are assumed to cause tension load in the plane and do not change the material properties. The elastic foundation used in this work is the Winkler–Pasternak type. The accuracy of the proposed method is verified by comparing the obtained numerical results with those of the published works in the literature. In addition, the influence of curvature radius, nonlocal coefficient, porosity coefficient, stiffness of foundation, and boundary conditions on the free vibration of the nanobeam are examined in detail.
This page summarises published work. The authoritative version sits with the publisher.
DOI: 10.1080/17455030.2023.2177500
Is something wrong with this record? Report it or request removal.
Discussion
Have you built on this work, tried to replicate it, or seen it applied in practice? Share what you know. Verified researchers and MARATTO™ domain experts can open a discussion, and any member can reply. Contributions are reviewed before they appear.
No discussion yet. Open the first thread.
New to MARATTO™? Create a free account.
