TY - BOOK AU - Kaltenbacher,Manfred TI - Numerical simulation of mechatronic sensors and actuators SN - 354071359X AV - TK7875 .K35 2007 U1 - 621 22 PY - 2007/// CY - Berlin, New York PB - Springer KW - Microelectromechanical systems KW - Mechatronics N1 - Includes bibliographical references (p. [411]-422) and index; Cover -- Contents -- 1 Introduction -- 2 The Finite Element (FE) Method -- 2.1 Finite Element Formulation -- 2.2 Finite Element Method for a 1D Problem -- 2.3 Nodal (Lagrangian) Finite Elements -- 2.3.1 Basic Properties -- 2.3.2 Quadrilateral Element in IR2 -- 2.3.3 Triangular Element in IR2 -- 2.3.4 Tetrahedron Element in IR3 -- 2.3.5 Hexahedron Element in IR3 -- 2.3.6 Global/Local Derivatives -- 2.3.7 Numerical Integration -- 2.4 Finite Element Procedure -- 2.5 Time Discretization -- 2.5.1 Parabolic Differential Equation -- 2.5.2 Hyperbolic Differential Equation -- 2.6 Integration over Surfaces -- 2.7 Edge (Nédélec) Finite Elements -- 2.8 Discretization Error -- 3 Mechanical Field -- 3.1 Navier's Equation -- 3.2 Deformation and Displacement Gradient -- 3.3 Mechanical Strain -- 3.4 Constitutive Equations -- 3.4.1 Plane Strain State -- 3.4.2 Plane Stress State -- 3.4.3 Axisymmetric Stress-Strain Relations -- 3.5 Waves in Solid Bodies -- 3.6 Material Properties -- 3.7 Numerical Computation -- 3.7.1 Linear Elasticity -- 3.7.2 Damping Model -- 3.7.3 Geometric Non-linear Case -- 3.7.4 Numerical Example -- 3.8 Locking and Effcient Solution Approaches -- 3.8.1 Incompatible Modes Method -- 3.8.2 Enhanced Assumed Strain Method -- 3.8.3 Balanced Reduced and Selective Integration -- 4 Electromagnetic Field -- 4.1 Maxwell's Equations -- 4.2 Quasistatic Electromagnetic Fields -- 4.2.1 Magnetic Vector Potential -- 4.2.2 Skin Effect -- 4.3 Electrostatic Field -- 4.4 Material Properties -- 4.4.1 Magnetic Permeability -- 4.4.2 Electrical Conductivity -- 4.4.3 Dielectric Permittivity -- 4.5 Electromagnetic Interface Conditions -- 4.5.1 Continuity Relations for Magnetic Field -- 4.5.2 Continuity Relations for Electric Field -- 4.5.3 Continuity Relations for Electric Current Density -- 4.6 Numerical Computation: Electrostatics -- 4.7 Numerical Computation: Electromagnetics -- 4.7.1 Formulation -- 4.7.2 Discretization with Edge Elements -- 4.7.3 Discretization with Nodal Finite Elements -- 4.7.4 Newton's Method for the Non-linear Case -- 4.7.5 Approximation of B-H Curve -- 4.7.6 Modelling of Current-loaded Coil -- 4.7.7 Computation of Global Quantities -- 4.7.8 Induced Electric Voltage -- 4.8 Numerical Examples -- 4.8.1 Ferromagnetic Cube -- 4.8.2 Thin Iron Plate -- 5 Acoustic Field -- 5.1 Wave Theory of Sound -- 5.1.1 Conservation of Mass (Continuity Equation) -- 5.1.2 Conservation of Momentum (Euler Equation) -- 5.1.3 Pressure-Density Relation (State Equation) -- 5.1.4 Linear Acoustic Wave Equation -- 5.1.5 Acoustic Quantities -- 5.1.6 Plane and Spherical Waves -- 5.2 Quantitative Measure of Sound -- 5.3 Non-linear Acoustic Wave Equation -- 5.4 Numerical Computation N2 - Covers both the detailed physical modeling of mechatronic systems and their precise numerical simulation using the Finite Element (FE) method. This book includes a section discussing locking effects as occurring in the numerical computation of thin mechanical structures. UR - http://www.loc.gov/catdir/toc/fy0802/2007924154.html UR - http://www.loc.gov/catdir/enhancements/fy0825/2007924154-d.html UR - http://repository.fue.edu.eg/xmlui/handle/123456789/3982 ER -