Displaying similar documents to “Free vibration of layered circular cylindrical shells of variable thickness using spline function approximation.”

Free Vibration Study of Anti-Symmetric Angle-Ply Laminated Plates under Clamped Boundary Conditions

K.K. Viswanathan, K. Karthik, Y.V.S.S. Sanyasiraju, Z.A. Aziz (2016)

Curved and Layered Structures

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Two type of numerical approach namely, Radial Basis Function and Spline approximation, used to analyse the free vibration of anti-symmetric angle-ply laminated plates under clamped boundary conditions. The equations of motion are derived using YNS theory under first order shear deformation. By assuming the solution in separable form, coupled differential equations obtained in term of mid-plane displacement and rotational functions. The coupled differential is then approximated using...

Application of splines for determining the velocity characteristic of a medium from a vertical seismic survey

Vladimir Bogdanov, Wladimir Karsten, Valeriy Miroshnichenko, Yuriy Volkov (2013)

Open Mathematics

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A method for solving the inverse kinematic problem of determining the velocity characteristic of a medium from a vertical seismic survey, is proposed. It is based on the combined use of the eikonal equation and spline methods of approximation for multivariable functions. The problem is solved by assuming a horizontally stratified medium; no assumptions about the number of layers and their thickness are made. First, using the data of the first arrival times of the seismic signal from...

Isogeometric treatment of large deformation contact and debonding problems with T-splines: a review

Rossana Dimitri (2015)

Curved and Layered Structures

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Within a setting where the isogeometric analysis (IGA) has been successful at bringing two different research fields together, i.e. Computer Aided Design (CAD) and numerical analysis, T-spline IGA is applied in this work to frictionless contact and mode-I debonding problems between deformable bodies in the context of large deformations. Based on the concept of IGA, the smooth basis functions are adopted to describe surface geometries and approximate the numerical solutions, leading to...

Analysis of cross-ply laminated plates using isogeometric analysis and unified formulation

S. Natarajan, A.J.M. Ferreira, Hung Nguyen-Xuan (2014)

Curved and Layered Structures

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In this paper, we study the static bending and free vibration of cross-ply laminated composite plates using sinusoidal deformation theory. The plate kinematics is based on the recently proposed Carrera Unified Formulation (CUF), and the field variables are discretized with the non-uniform rational B-splines within the framework of isogeometric analysis (IGA). The proposed approach allows the construction of higher-order smooth functions with less computational effort.Moreover, within...

Buckling of beam-column problem of anisotropic cylindrical shells

Anukul De (1986)

Aplikace matematiky

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The object of this paper is to formulate the differential equations in the beamcolumn problem of the buckling of anisotropic cylindrical shells, placed between the plates of a testing machine subject to an axial load P and a radial load H of sufficient magnitude to bring the expansion without constraint of the edges produced by P to zero deflection. The solution is obtained with necessary boundary conditions and the corresponding results for the isotropic case are deduced.