Conference Papers

Permanent URI for this collectionhttps://idr.nitk.ac.in/handle/123456789/28506

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Author: search.filters.author.Kadoli, R.Subject: search.filters.subject.Finite element method

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    A comparison of the non-conforming and conforming sector finite element for free vibration of circular discs
    (Elsevier Ltd, 2020) Avvaru, H.T.; Joladarashi, S.; Kadoli, R.
    A twelve-term non-conforming and a sixteen-term conforming displacement polynomial are obtained from Pascal's triangle to deduce the shape functions for a sector element. Using the sector element circular disc is discretized. The number of degrees of freedom for the sector element at a given node is three and four. Kirchhoff's plate theory is the basis for strain energy and kinetic energy because of the transverse motion of the circular plate. Associated stiffness and mass matrices for the sector element are derived in closed form using MATHEMATICA. Using the Lagrange equation, the free vibration equation of motion for the circular disc is derived. A validation study is conducted, and non-dimensional frequencies from the finite element solution are compared with the analytical solutions reported in the literature. Subsequently, the natural frequencies of Al-Al2O3functionally graded circular disc with gradation in the thickness direction are evaluated for a variety of boundary conditions. © 2020 Elsevier Ltd. All rights reserved.
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    Finite Element Formulation for Static and Time Dependent Transverse Deflection of Functionally Graded Sandwich Beams with Viscoelastic Core
    (Springer Science and Business Media Deutschland GmbH, 2023) Patil, R.; Joladarashi, S.; Kadoli, R.
    The present study describes the finite element (FE) formulation for static and time dependent deflection of functionally graded (FG) sandwich beams with viscoelastic core. The kinematics of the beam are derived as per Euler–Bernoulli beam model. Rule of mixture and power law index define the variation of properties of FG stiff layers and core is considered as isotropic. Standard Linear solid model is used to define time dependent shear modulus of viscoelastic material. Static deflection results are validated with available literature. Effect of parameters on static deflection are studied for various boundary conditions. © 2023, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.