Abstract
This chapter analyzes the basic principle of passive damping with shunted piezoelectric transducers. Resistive shunting and inductive shunting are examined successively. The various ways of tuning the inductor (maximum stability and equal peak design) are carefully reviewed, and the robustness with respect to the shunt parameters is discussed. Next, the switch shunt is analyzed, leading to the technique known as synchronized switch damping on inductor (SSDI); the performances of the various shunting modes are compared. The chapter concludes with a short list of references and a set of problems.
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Notes
- 1.
Comparing the two foregoing equations, one finds that the static capacitance reads \(C_{\text {stat}}=C(1-k^2)(1+\sum K_i^2)\).
- 2.
This root locus will be met many times in the following chapters.
- 3.
\(\omega _n^2=K_a/M(1-k^2)\).
- 4.
The strain energy is proportional to the square of the displacement.
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Preumont, A. (2018). Passive Damping with Piezoelectric Transducers. In: Vibration Control of Active Structures. Solid Mechanics and Its Applications, vol 246. Springer, Cham. https://doi.org/10.1007/978-3-319-72296-2_5
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