Sökning: "Power series expansions"

Visar resultat 1 - 5 av 13 avhandlingar innehållade orden Power series expansions.

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

   Författare :Reza Okhovat; Chalmers tekniska högskola; []
   Nyckelord :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;

   Sammanfattning : 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. LÄS MER

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

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

   Sammanfattning : 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. LÄS MER

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

   Författare :Anders Hägglund; Chalmers tekniska högskola; []
   Nyckelord :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;

   Sammanfattning : 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. LÄS MER

5. 4. Dynamics of Plates with Thin Piezoelectric Layers

   Författare :Karl Mauritsson; Chalmers tekniska högskola; []
   Nyckelord :TEKNIK OCH TEKNOLOGIER; ENGINEERING AND TECHNOLOGY; Thin layers; Actuator; Plate equations; Equivalent boundary conditions; Power series expansions; Piezoelectricity;

   Sammanfattning : The subject of this thesis is dynamics of plates with thin piezoelectric layers. Piezoelectric materials are often used in sensors and actuators and common applications for these are vibration control and ultrasonic transducers. LÄS MER

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

   Författare :Reza Okhovat; Chalmers tekniska högskola; []
   Nyckelord :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;

   Sammanfattning : 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. LÄS MER