Abstract
The basic concepts about the active structures and some attributes of the modes were presented in paper “Liner Active Structures and Modes (I)”. The characteristics of the active discrete systems and active beams were discussed, especially, the stability of the active structures and the orthogonality of the eigenvectors. The notes about modes were portrayed by a model of a seven-storeyed building with sensors and actuators. The concept of the adjoint active structure was extended from the discrete systems to the beams that were the representations of the continuous structures. Two types of beams with different placements of the measuring and actuating systems were discussed in detail. One is the beam with the discrete sensors and actuators, and the other is the beam with distributed sensor and actuator function. The orthogonality conditions were derived with the modal shapes of the active beam and its adjoint active beam. An example shows that the variation of eigenvalues with feedback amplitude for the homo-configuration and non-homo-configuration active structures.
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Contributed by ZHANG Jing-hui, Original Member of Editorial Committee, AMM
Foundation items: the National Natural Science Foundation of China (10272087); the Associated Foundation of the National Natural Science Foundation Committee of China and the Academy of Engineering Physics of China (10176042)
Biography: WANG Yong-gang (1960 ≈)
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Yong-gang, W., Jing, G. & Jing-hui, Z. Linear active structures and modes (II) —Discrete systems and beams. Appl Math Mech 25, 854–862 (2004). https://doi.org/10.1007/BF02438791
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DOI: https://doi.org/10.1007/BF02438791