Search for dissertations about: "Power series expansions"

Showing result 1 - 5 of 12 swedish dissertations containing the words Power series expansions.

2. 1. Dynamic Equations foe Spherical and Cylindrical Shells Using Power Series Method

   Author : Reza Okhovat; Chalmers tekniska högskola; []
   Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; power series.; surface differential operators; shell equations; eigenfrequency; anisotropy; Spherical shell; cylindrical shell; dynamics;

   Abstract : Shells are commonly used in many branches of engineeringand have therefore beeninvestigated for a number of different types of shells.A shell can be considered as a curved plate having small thickness compared to the other geometrical dimensions as well as to the wavelengths of importance. READ MORE

4. 2. 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

5. 3. 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

6. 4. Dynamic Equations for Spherical, Orthotropic and Piezoelectric Cylindrical Shells Using the Power Series Method

   Author : Reza Okhovat; Chalmers tekniska högskola; []
   Keywords : TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; shell equations; cylindrical shell; eigenfrequency.; piezoelectricity; Shells; Hamilton’s principle; surface differential operators; recursion relations; spherical shell; orthotropic; dynamics;

   Abstract : Shells are commonly used in many branches of engineering, and have therefore beeninvestigated for a number of different types of shells. A shell is considered to be curved aplate with small thickness compared both to the other geometrical dimensions as well asto the wavelengths of importance. READ MORE

7. 5. Computing Vector-valued Modular Forms of Congruence Types and of Some Extension Types

   Author : Tobias Magnusson; Chalmers tekniska högskola; []
   Keywords : NATURVETENSKAP; NATURAL SCIENCES; eisenstein series; modular forms; iterated eichler-shimura integrals; vector-valued modular forms;

   Abstract : This thesis explores applications of vector-valued modular forms of congruence and extension types to scalar-valued modular forms for congruence subgroups with a character, higher order modular forms, and iterated Eichler-Shimura integrals of depth one and two, including considerable generalizations thereof. In \textsc{Paper I} (co-authored with Martin Raum), we present an algorithm for computing bases for spaces of vector-valued modular forms of congruence type and of weight at least $2$ in terms of products of components of vector-valued Eisenstein series. READ MORE