Patil, M.A.Kadoli, R.2026-02-042023Mechanics of Advanced Materials and Structures, 2023, 30, 22, pp. 4685-469715376494https://doi.org/10.1080/15376494.2022.2103604https://idr.nitk.ac.in/handle/123456789/22212The purpose of the current research work is to investigate the free vibration control characteristics of a Terfenol-D layered functionally graded fluid-conveying pipe when subjected to partial two-parameter foundation, viscoelastic supports, and multi-span length. The integration of differential quadrature method with domain decomposition and the δ point approach, as well as Terfenol-D layer actuation with viscoelastic supports, distinguishes the current study effort. The equivalent spring stiffness for the two-parameter partial foundation is determined methodically for various elastic soil materials. The effect of varied spans with viscoelastic supports on the stability of fluid conveying pipes is also explored. © 2022 Taylor & Francis Group, LLC.Differentiation (calculus)Domain decomposition methodsViscoelasticity'currentDomain decomposition with δ pointDomain decompositionsFluid-conveying pipeFree vibrationFunctionally gradedPartial foundationTerfenol-DTwo parameterViscoelastic supportsFoundations