By Frantisek Trebuna

ISBN-10: 303835189X

ISBN-13: 9783038351894

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0, b) Energy fatigue curve; strain-energy density per a cycle vs. the number of the reversals Applied Mechanics and Materials Vol. 0 in several modifications. Next figures show: − the classic Manson-Coffin curve (Fig. 3a), − the energy fatigue curve obtained by the numerical computation (Fig. 3b), − the comparison of the energy fatigue curve obtained by the numerical computation and by Feltner’s expressions (Fig. 4a), and finally − the comparison of the energy fatigue curve obtained by the numerical computation and by Morrow’s expressions (Fig.

Demetriou, A numerical algorithm for the optimal placement of actuators and sensors for flexible structures. Proc. of the American Control Conference, Chicago, (2000) 2290-2294. [9] F. Fahroo, Y. Wang, Optimal location of piezoceramic actuators for vibration suppression of a flexible structure. Proc. of the 36th IEEE Conf. On Decision and Control, San Diego, (1997) 1966-1973. [10] W. K. Gawronski, Actuator and sensor placement for structural testing and control. Jour. of Sound and Vibrations, vol.

We define the state vector as x  q x =  1 =   x 2  q  (3) The state equations take the following form x = Ax + Bu (4) y = Cx (5) where  0 A= −1 − M K  −1  − M D I  0  B =  −1   M B0  [ C = C sq C sv ] (6) The state vector in modal coordinates  x  Ωq  x =  1 =  m x 2   q m  (7) 2. Controllability and observability. Ranks of controllability and observability provide only an answer yes or no to controllability and observability questions. , N (12) and are so called the Hankel singular values.

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Applied Mechanics and Mechatronics by Frantisek Trebuna

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