Search for dissertations about: "Plate equations"

Showing result 1 - 5 of 50 swedish dissertations containing the words Plate equations.

  2. 1. Dynamic Plate and Shell Equations Using Power Series Expansions - Applications Including Elasticity, Poroelasticity and Fluid Loading

    Author : Anders Hägglund; Chalmers tekniska högskola; []
    Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; approximate boundary conditions; series expansion; Biot equations; vibrations; cylindrical shell; dispersion curves; plate theory; thin shells; porous plate;

    Abstract : Thin structures are used in a wide range of engineering applications. The subject of this thesis is the derivation of approximate equations for the dynamics of thin plates and shells using series expansion methods. READ MORE

  4. 2. Dynamic higher order equations for structural elements

    Author : Hossein Abadikhah; Chalmers tekniska högskola; []
    Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; Eigenfrequency; Micropolar; Series expansion; Beam; Plate equations; Torsion;

    Abstract : The subject of this thesis is to derive and evaluate governing equations and corresponding boundary conditions for solid isotropic cylinders and isotropic micropolar rectangular plates. This is achieved by a systematic power series expansion approach, by either adopting a generalized Hamilton's principle or a direct approach. READ MORE

  5. 3. Dynamic Anisotropic and Piezoelectric Plate Equations - A Power Series Approach with Recursion Relations among the Expansion Functions

    Author : Karl Mauritsson; Chalmers tekniska högskola; []
    Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; Piezoelectricity; Plate equations; Anisotropy; Plates; Recursion relations; Power series expansions; Thin layers; Hamilton s principle; Laminates;

    Abstract : The subject of this thesis is dynamics of plates. Both anisotropic elastic plates, piezoelectric plates, thin piezoelectric layers on elastic plates and elastic laminates are considered. Piezoelectric materials are often used in sensors and actuators and common applications for these are vibration control and ultrasonic transducers. READ MORE

  6. 4. Adaptive finite element methods for plate bending problems

    Author : David Heintz; Göteborgs universitet; []
    Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; NATURVETENSKAP; NATURAL SCIENCES; goal-oriented adaptivity; model adaptivity; discontinuous Galerkin; Nitsche s method; Kirchhoff plate; Mindlin-Reissner plate; Kirchhoff plate;

    Abstract : The major theme of the thesis is the development of goal-oriented model adaptive continuous-discontinuous Galerkin (c/dG) finite element methods (FEM), for the numerical solution of the Kirchhoff and Mindlin-Reissner (MR) plate models. Hierarchical modeling for linear elasticity on thin domains (beam-like) in two spatial dimensions is also considered, as a natural extension of the Bernoulli and Timoshenko beam theories. READ MORE

  7. 5. Dynamic higher order equations

    Author : Hossein Abadikhah; Chalmers tekniska högskola; []
    Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; Torsion; Series expansion; Elasticity; Micropolar; Functionally graded material;

    Abstract : The subject of this thesis is to derive and evaluate governing equations and correspondingboundary conditions for solid cylinders and rectangular plates, where the materialconstituting the cylinder or plate are governed by classical elasticity, micropolar elasticityor a functionally graded case of the previously mentioned models. This is achieved by asystematic power series expansion approach, by either adopting a generalized Hamilton'sprinciple or a direct approach. READ MORE