By A. Preumont
This ebook includes 14 chapters. Chapters 2 and three are dedicated to the dynamics of lively constructions; the open loop move features are derived from the constitutive equations; the dialogue comprises lively trusses with piezoelectric struts, and beams and shells with embedded laminar piezoelectric actuators and sensors. Chapters four and five speak about the virtues of collocated actuator/sensor configurations and the way they are often exploited to increase energetic damping with assured balance. bankruptcy 6 addresses vibration isolation for one and six d.o.f.. bankruptcy 7 discusses optimum regulate for SISO platforms with symmetric root locus. bankruptcy eight discusses the layout tradeoffs for SISO platforms within the frequency area, together with the Bode amplitude/phase dating. bankruptcy nine offers a extra normal dialogue of optimum regulate utilizing of optimum keep watch over utilizing the Riccati equation; spillover is tested. Chapters 10 and eleven evaluation in brief the recommendations of controllability, observability and balance. bankruptcy 12 discusses the semi-active regulate, together with a few fabrics on magneto-rheological fluids. bankruptcy thirteen describes numerous functional purposes to lively damping, precision positioning and vibroacoustics, and bankruptcy 14 discusses the energetic damping of cable- buildings.
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Extra resources for Vibration Control of Active Structures: An Introduction (Solid Mechanics and Its Applications)
This approach works well when the sampling frequency is two orders of magnitude faster than the bandwidth of the control system‚ as is generally the case in structural control. 5 Organization of the book Structural control and the emerging area of smart structures belong to the general field of Mechatronics; they consist of a mixture of mechanical engineering‚ Introduction 13 structural mechanics‚ control engineering‚ material science and computer science. This book has been written for structural engineers willing to acquire some background in structural control; it has been assumed that the reader is familiar with structural dynamics and has some basic knowledge of linear system theory‚ including Laplace transforms‚ root locus‚ Bode plots‚ Nyquist plots‚ etc...
J. BATHE & E. L. WILSON, Numerical Methods in Finite Element Analysis, Prentice-Hall, 1976. R. E. D. BISHOP & D . C. , 1979. R. H. CANNON, Dynamics of Physical Systems, McGraw-Hill, 1967. R. W. CLOUGH & J. PENZIEN, Dynamics of Structures, McGraw-Hill, 1975. R. R. , Structural Dynamics, Wiley, 1981. M. GERADIN & D. RIXEN, Mechanical Vibrations, Theory and Application to Structural Dynamics, Wiley, 1993. P. C. HUGHES, Attitude Dynamics of Three-Axis Stabilized Satellite with a Large Flexible Solar Array, J.
1. Notice that using a diagonal mass matrix usually tends to underestimate the natural frequencies. 3. 266 It is excited by a point force at (a) Assuming that a displacement sensor is located at (collocated) and that the system is undamped, plot the transfer function for an increasing number of modes, with and without quasi-static correction for the high-frequency modes. Comment on the variation of the zeros with the number of modes and on the absence of mode 4. Note: To evaluate the quasi-static contribution of the high-frequency modes, it is useful to recall that the static displacement at created by a unit force applied at on a simply supported beam is The symmetric operator is often called ”flexibility kernel” or Green’s function.