Spatial Control of Vibration : Theory and Experiments.
Başlık:
Spatial Control of Vibration : Theory and Experiments.
Yazar:
Moheimani, S. O. Reza.
ISBN:
9789812794284
Yazar Ek Girişi:
Fiziksel Tanımlama:
1 online resource (237 pages)
Seri:
Series on Stability, Vibration and Control of Systems, Series A ; v.10
Series on Stability, Vibration and Control of Systems, Series A
İçerik:
Contents -- Preface -- 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 norms -- 3.5 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 problem -- 5.3 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 sensors -- 6.6 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.
Özet:
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 passive damping. The former could be a costly exercise, while the latter is only effective at higher frequencies. Active control techniques have emerged as viable technologies to fill this low-frequency gap. This book is concerned with the study of feedback controllers for vibration control of flexible structures, with a view to minimizing vibration over the entire body of the structure. The book introduces a variety of flexible structures such as beams, strings, and plates with specific boundary conditions, and explains in detail how a spatially distributed model of such systems can be obtained. It addresses the problems of model reduction and model correction for spatially distributed systems of high orders, and goes on to extend robust control techniques such as H-infinity and H 2 control design methodologies to spatially distributed systems arising in active vibration control problems. It also addresses other important topics, such as actuator and sensor placement for flexible systems, and system identification for flexible structures with irregular boundary conditions. The text contains numerous examples, and experimental results obtained from laboratory-level apparatus, with details of how similar test beds may be built. Contents: Modeling; Spatial Norms and Model Reduction; Model Correction; Spatial Control; Optimal Placement of Actuators and Sensors; System Identification for Spatially Distributed Systems. Readership: Graduate students and researchers in mechanical engineering and control theory.
Notlar:
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2017. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
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