Optimal placement of piezoelectric active bars in vibration control by topological optimization

Abstract

A continuous variable optimization method and a topological optimization method are proposed for the vibration control of piezoelectric truss structures by means of the optimal placements of active bars. In this optimization model, a zero-one discrete variable is defined in order to solve the optimal placement of piezoelectric active bars. At the same time, the feedback gains are also optimized as continuous design variables. A two-phase procedure is proposed to solve the optimization problem. The sequential linear programming algorithm is used to solve optimization problem and the sensitivity analysis is carried out for objective and constraint functions to make linear approximations. On the basis of the Newmark time integration of structural transient dynamic responses, a new sensitivity analysis method is developed in this paper for the vibration control problem of piezoelectric truss structures with respect to various kinds of design variables. Numerical examples are given in the paper to demonstrate the effectiveness of the methods.

The semi-conductor property and corrosion resistance of passive film on electroplated Ni and Cu–Ni alloys

“…The existence of a linear relationship between 1/C 2 and E for all coatings in the potential range of around À0.6 V to À0.25 V, indicates p-type semi-conductive property of the films. The passive films of NiO [26], electroplate Ni and Ni-Co alloy [27] are p-type semi-conductors, which demonstrates that the results obtained from M-S plots and the analysis in this article are reasonable.…”

Passive damping of composite blades using embedded piezoelectric modules or shape memory alloy wires: a comparative study

“…Both properties are directly associated with the reversible diffusionless transformation process between martensite and austenite, which can be initiated by a change of stress or temperature. The martensitic transformation is linked to a change in the crystal lattice [24]. The high damping capacity of the martensitic phase is generally linked to the presence and mobility of twins and interfaces between different variants of martensite or of austenite-martensite boundaries [25], respectively.…”

Novel Distributed PZT Active Vibration Control Based on Characteristic Model for the Space Frame Structure

“…Space structures are usually applied in the aerospace and civil engineering such as the space boom structures [1]. Generally, since space structures are light and flexible, they are sensitive to vibration which will affect the performance of space equipment [2]. Therefore, it is necessary to suppress vibration for space structure.…”

“…Xu and Jiang demonstrated an approach with the controllability and observability index of the system [4]. Zhao et al proposed a continuous variable optimization method to solve the optimal placement of piezoelectric active bars [2]. Li and Huang presented a layered optimization strategy to address location optimization problem [9].…”