Linear Active Structures and Modes(Ⅱ)——Discrete Systems and Beams

WANG Yong-gang; GONG Jing; ZHANG Jing-hui

Volume 25 Issue 8

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Article Navigation > Applied Mathematics and Mechanics > 2004 > 25(8): 779-786

WANG Yong-gang, GONG Jing, ZHANG Jing-hui. Linear Active Structures and Modes(Ⅱ)——Discrete Systems and Beams[J]. Applied Mathematics and Mechanics, 2004, 25(8): 779-786.

Citation:

WANG Yong-gang, GONG Jing, ZHANG Jing-hui. Linear Active Structures and Modes(Ⅱ)——Discrete Systems and Beams[J]. Applied Mathematics and Mechanics, 2004, 25(8): 779-786.

Citation:

WANG Yong-gang, GONG Jing, ZHANG Jing-hui. Linear Active Structures and Modes(Ⅱ)——Discrete Systems and Beams[J]. Applied Mathematics and Mechanics, 2004, 25(8): 779-786.

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Linear Active Structures and Modes(Ⅱ)——Discrete Systems and Beams

1.
School of Civil Engineering and Mechanics, Xi'an Jiaotong University, Xi'an 710049, P. R. China;

Received Date: 2002-11-01
Rev Recd Date: 2004-03-08
Publish Date: 2004-08-15

Abstract

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, specially, 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.
- active structure,
- beam,
- mode,
- orthogonal condition

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References(5)

References

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