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Piezoelectric Graded Optimal Control for Vibration Reduction of Non-linear Beam

LIU Can-chang;LIU Lu;CHAI Shan;LI Hong-yan

2011, 31 (6): 38-42. DOI: 10.3969/j.issn.1006-1355-2011.05.009

Abstract （1084）

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A non-linear graded optimal control scheme is proposed and used in the piezoelectric vibration reduction control of non-linear beams. The dynamic model of a non-linear vibration reduction beam with piezoelectric damper is built. The non-linear dynamic differential equations of the vibration reduction system are deduced. The differential equation is linearized into a set of linear equations by means of perturbation. The state space equations are obtained by decoupling in the space coordinates. The vibration reduction system is controlled by the non-linear graded controllers.

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《IFEM on Structural Exterior Acoustic Fields Analysis》

LI Li-jun;LI Hong-yan;CHAI Shan;GANG Xian-yue

2010, 30 (3): 27-30. DOI: 10.3969/j.issn.1006-1355.2010.03.008

Abstract （2349）

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Recently, the Infinite Element Method (IEM) is applied to the acoustic field analysis gradually. In this paper, basic theory of IEM is studied; the advantages and disadvantages of BEM (Boundary Element Method) and IEM are compared. The factors related to convergent precision of IEM are analyzed. Several important parameters and concepts of IEM, including the origin of coordinate system, the order of IEM, and vectors of coordinates, are introduced. The conclusions of IEM are presented for acoustic field analysis.