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## Über dieses Buch

Like the previous editions also the third edition of this book combines the detailed physical modeling of mechatronic systems and their precise numerical simulation using the Finite Element (FE) method. Thereby, the basic chapter concerning the Finite Element (FE) method is enhanced, provides now also a description of higher order finite elements (both for nodal and edge finite elements) and a detailed discussion of non-conforming mesh techniques. The author enhances and improves many discussions on principles and methods. In particular, more emphasis is put on the description of single fields by adding the flow field. Corresponding to these field, the book is augmented with the new chapter about coupled flow-structural mechanical systems. Thereby, the discussion of computational aeroacoustics is extended towards perturbation approaches, which allows a decomposition of flow and acoustic quantities within the flow region. Last but not least, applications are updated and restructured so that the book meets modern demands.

## Inhaltsverzeichnis

### Chapter 1. Introduction

Abstract
Each modern industrial process environment needs sensors to detect the physical quantities involved (e.g., electric current, mechanical torque, temperature, etc.), a signal-conditioning circuit, and an interface to computers, where the process parameters are controlled.
Manfred Kaltenbacher

### Chapter 2. The Finite Element (FE) Method

Abstract
The finite element (FE) method has become the standard numerical calculation scheme for the computer simulation of physical systems [13].
Manfred Kaltenbacher

### Chapter 3. Mechanical Field

Abstract
Let us consider a solid body with prescribed volume force and support at equilibrium, which means that the sum of all forces as well as the sum of all moments are zero.
Manfred Kaltenbacher

### Chapter 4. Flow Field

Abstract
We consider the motion of fluids in the continuum approximation
Manfred Kaltenbacher

### Chapter 5. Acoustic Field

Abstract
Acoustic waves can propagate in non-viscous media just in the form of longitudinal waves.
Manfred Kaltenbacher

### Chapter 6. Electromagnetic Field

Abstract
In general, we distinguish two domains in electromagnetism, both are of course included in Maxwell’s equations
Manfred Kaltenbacher

### Chapter 7. Coupled Flow-Structural Mechanical Systems

Abstract
The field interactions are realized through boundary conditions as well as source terms and can be generally separated into volume and surface coupled phenomena.
Manfred Kaltenbacher

### Chapter 8. Coupled Mechanical-Acoustic Systems

Abstract
In many technical applications, the sensor/actuator is immersed in an acoustic fluid.
Manfred Kaltenbacher

### Chapter 9. Computational Aeroacoustics

Abstract
A large amount of the total noise in our daily lives is generated by turbulent flows (e.g., airplanes, cars, air conditioning systems, etc.).
Manfred Kaltenbacher

### Chapter 10. Coupled Electrostatic-Mechanical Systems

Abstract
In electrostatic-mechanical systems, the structure is subject both to rigid motions and elastic deformations by means of the electrostatic force.
Manfred Kaltenbacher

### Chapter 11. Coupled Magnetomechanical Systems

Abstract
Let us consider a magnetic solenoid valve as depicted in Fig. 11.1.
Manfred Kaltenbacher

### Chapter 12. Piezoelectric Systems

Abstract
The piezoelectric transducing mechanism is based on the interaction between the electric quantities, electric field intensity $${\varvec{E}}$$ and electric induction $${\varvec{D}}$$, with the mechanical quantities, mechanical stress $$[{\varvec{\sigma }}]$$ and strain $$[{\varvec{S}}]$$.
Manfred Kaltenbacher

### Chapter 13. Algebraic Solvers

Abstract
In recent years, many different formulations using Lagrange (nodal) as well as Nédélec (edge) finite elements for the numerical computation of Maxwell’s equations have been published, e.g., [1, 2].
Manfred Kaltenbacher

### Chapter 14. Industrial Applications

Abstract
The electrodynamic loudspeaker to be investigated is shown in Fig. 14.1. A cylindrical, small, light, voice coil is suspended freely in a strong radial magnetic field, generated by a permanent magnet.
Manfred Kaltenbacher

### Chapter 15. Summary and Outlook

Abstract
The precise numerical simulation of mechatronic sensors and actuators leads to so-called multifield problems, whose efficient solution—both with respect to CPU-time and memory—is a great challenge.
Manfred Kaltenbacher

### Backmatter

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