Screen LibrarySpatial control of vibration : theory and experiments /
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...
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| Main Authors: | |
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| Corporate Authors: | |
| Group Author: | ; |
| Published: |
World Scientific Pub. Co.,
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| Publisher Address: | Singapore ; River Edge, N.J. : |
| Publication Dates: | 2003. |
| Literature type: | eBook |
| Language: | English |
| Series: |
Series on stability, vibration, and control of systems. Series A ;
v. 10 |
| Subjects: | |
| Online Access: |
http://www.worldscientific.com/worldscibooks/10.1142/5246#t=toc |
| Summary: |
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 H2 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. |
| Carrier Form: | 1 online resource (xii,223pages) : illustrations. |
| Bibliography: | Includes bibliographical references (pages 211-217) and index. |
| ISBN: | 9789812794284 (electronic bk.) |
| CLC: | TU311.2 |
| 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 H[symbol] norm. 3.3. Spatial H[symbol] 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 H[symbol] norm. 4.4. Extension to multi-input systems. 4.5. Model correction using the spatial H[symbol] 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 H[symbol] control problem. 5.3. Spatial H[symbol] control of a piezoelectric laminate beam. 5.4. Experimental implementation of the spatial H[symbol] controller. 5.5. The effect of pre-filtering on performance of the spatial H[symbol] controller. 5.6. The spatial H[symbol] control problem. 5.7. Spatial H[symbol] control of a piezoelectric laminate beam. 5.8. Experimental implementation of spatial H[symbol] 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. |