Spatial control of vibration : theory and experiments

• Main Author: Moheimani, S. O. Reza, 1967-
• Other Authors: Fleming, Andrew J., Halim, Dunant
• Format: Electronic eBook
• Language: English
• Published: Singapore : World Scientific, ©2003.
• Series: Series on stability, vibration, and control of systems. v. 10.
• Subjects: Spatial systems.; Vibration.; elektronické knihy; electronic books
• ISBN: 9781628705362; 1628705361; 9789812794284; 981279428X; 9789812383372; 9812383379; 1281934429; 9781281934420; 9786611934422; 6611934421
• Physical Description: 1 online resource (xii, 223 pages) : illustrations

Vibration is a natural phenomenon that occurs in a variety of engineering systems. In many circumstances, vibration greatly affects the nature of engineering design as it often dictates limiting factors in the performance of the system. The conventional treatment is to redesign the system or to use...

Table of Contents:

• Preface; Contents; 1. Introduction; 1.1 Vibration; 1.2 Spatially distributed systems; 1.3 Model correction; 1.4 Spatial control; 1.5 Piezoelectric actuators and sensors; 1.6 Actuator and sensor placement; 2. Modeling; 2.1 Introduction; 2.2 Modal approach; 2.3 Transverse vibration of strings; 2.4 Axial vibration of rods; 2.5 Torsional vibration of shafts; 2.6 Flexural vibration of beams; 2.7 Transverse vibration of thin plates; 2.8 Modeling of piezoelectric laminate beams; 2.9 Conclusions; 3. Spatial Norms and Model Reduction; 3.1 Introduction; 3.2 Spatial H2 norm; 3.3 Spatial Hoo norm.
• 3.4 Weighted spatial norms3.5 State-space forms; 3.6 The balanced realization and model reduction by truncation; 3.7 Illustrative example; 3.8 Conclusions; 4. Model Correction; 4.1 Introduction; 4.2 Effect of truncation; 4.3 Model correction using the spatial H2 norm; 4.4 Extension to multi-input systems; 4.5 Model correction using the spatial Hoo norm; 4.6 Model correction for point-wise models of structures; 4.7 Extension to multi-variable point-wise systems; 4.8 Model correction for a piezoelectric laminate beam; 4.9 Conclusions; 5. Spatial Control; 5.1 Introduction.
• 5.2 Spatial Hoo control problem5.3 Spatial Hoo control of a piezoelectric laminate beam; 5.4 Experimental implementation of the spatial Hoo controller; 5.5 The effect of pre-filtering on performance of the spatial Hoo controller; 5.6 The spatial H2 control problem; 5.7 Spatial H2 control of a piezoelectric laminate beam; 5.8 Experimental implementation of spatial H2 control; 5.9 Conclusions; 6. Optimal Placement of Actuators and Sensors; 6.1 Introduction; 6.2 Dynamics of a piezoelectric laminate plate; 6.3 Optimal placement of actuators; 6.4 Optimal placement of sensors.
• 6.5 Optimal placement of piezoelectric actuators and sensors6.6 Numerical and experimental results; 6.7 Conclusions; 7. System Identification for Spatially Distributed Systems; 7.1 Introduction; 7.2 Modeling; 7.3 Spatial sampling; 7.4 Identifying the system matrix; 7.5 Identifying the mode shapes and feed-through function; 7.6 Experimental results; 7.7 Conclusions; Appendix A Frequency domain subspace system identification; A.1 Introduction; A.2 Frequency Domain Subspace Algorithm; Bibliography; Index.