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Active and Passive Vibration Control of Structures

Author: Peter Hagedorn; Gottfried Spelsberg-Korspeter
Publisher: Vienna : Springer Vienna, 2014.
Series: CISM International Centre for Mechanical Sciences ; v.558; EBL-Schweitzer
Edition/Format:   eBook : English : Online-AusgView all editions and formats
Summary:
Preface; Contents; Mechanical Systems: Equations of Motion and Stability; 1 Equations of Motion of Discrete Mechanical Systems; 1.1 The Eigenvalue Problem; 1.2 M-K-Systems; 1.3 M-D-K-Systems; 1.4 M-G-K-Systems; 1.5 M-K-N-Systems; 1.6 M-G-K-N-Systems; 1.7 M-D-G-K-N-Systems; 2 Equations of Motion of Continuous Mechanical Systems; 2.1 Equation of Motion of Beams; 2.2 Free Vibration Problem; 2.3 Forced Vibration
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Genre/Form: Electronic books
Material Type: Internet resource
Document Type: Internet Resource
All Authors / Contributors: Peter Hagedorn; Gottfried Spelsberg-Korspeter
ISBN: 9783709118214 3709118212
OCLC Number: 897395787
Notes: Description based upon print version of record.
Description: Online-Ressource (1 online resource (316 p.))
Series Title: CISM International Centre for Mechanical Sciences ; v.558; EBL-Schweitzer

Abstract:

Preface; Contents; Mechanical Systems: Equations of Motion and Stability; 1 Equations of Motion of Discrete Mechanical Systems; 1.1 The Eigenvalue Problem; 1.2 M-K-Systems; 1.3 M-D-K-Systems; 1.4 M-G-K-Systems; 1.5 M-K-N-Systems; 1.6 M-G-K-N-Systems; 1.7 M-D-G-K-N-Systems; 2 Equations of Motion of Continuous Mechanical Systems; 2.1 Equation of Motion of Beams; 2.2 Free Vibration Problem; 2.3 Forced Vibration Analysis; 2.4 Non-homogeneous Boundary Conditions; 2.5 An example of a hybrid system; 2.6 Continuous Systems with Damping; 2.7 An example of non-homogeneous Boundary Conditions.

3 Liapounov Stability Theory3.1 The Concept of Liapounov Stability; 3.2 The Direct Method of Liapounov; 3.3 Supplementary Remarks Concerning the Direct Method of Liapounov; 3.4 Stability by the First Approximation (Autonomous Case); 3.5 Stability by the First Approximation (Periodic Case); 3.6 Stability by the First Approximation (Aperiodic Case); Bibliography; Variational Principles in Mechanics and Control; 1 Introduction; 2 Contributing and non contributing forces in the principle of virtual work; 2.1 Introductory example; 2.2 Partial velocities.

2.3 Constraints leading to ideal constraint forces2.4 Relation of the principle of virtual work to Lagrange's equations of second kind; 3 Introduction to calculus of variations and Hamilton's principle; 4 Continuous systems; 4.1 Kinematics of deformation; 4.2 Analysis of stress; 4.3 Stress strain relations; 4.4 Basic equations of the theory of elasticity; 4.5 The principle of virtual work for continuous systems; 4.6 Derivation of structural models from 3D elasticity; 4.7 Discussion of properties of continuous systems; 4.8 Approximation Methods.

5 Aspects of design and optimization for active an passive control systems5.1 Structural design and optimization of control systems; 5.2 Variational approaches in control theory; 5.3 Example of passive structural design against self-excited vibrations; 6 Concluding remarks; Bibliography; Hybrid Mass Damper: A Tutorial Example; 1 Introduction; 1.1 Dynamic Vibration Absorber; 1.2 Active Mass Damper and Hybrid Mass Damper; 2 Seismic response; 2.1 Basic equations; 2.2 n-storey shear frame; 2.3 Seismic excitation; 2.4 Seismic response of a n-storey building; 3 Dynamic Vibration Absorber (DVA).

3.1 Equal peak design3.2 n-storey shear frame with a DVA at the top; 4 Active control with an AMD; 4.1 Control hardware; 4.2 System modeling; 4.3 System response; 5 Hybrid Mass Damper; 6 Dual loop Hybrid Mass Damper; 6.1 System modeling; 6.2 System response; 6.3 HMD in degraded mode; 7 Conclusions; Bibliography; Electromagnetic and Piezoelectric Transducers; 1 Introduction; 2 Voice coil transducer; 2.1 Proof-mass actuator; 2.2 Geophone; 3 General electromechanical transducer; 3.1 Constitutive equations; 3.2 Self-sensing; 4 Smart materials; 5 Piezoelectric transducer.

5.1 Constitutive relations of a discrete transducer.

Active and Passive Vibration Control of Structures form an issue of very actual interest in many different fields of engineering, for example in the automotive and aerospace industry, in precision engineering (e.g. in large telescopes), and also in civil engineering. The papers in this volume bring together engineers of different background, and it fill gaps between structural mechanics, vibrations and modern control theory. Also links between the different applications in structural control are shown.

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