Strip excitation, Part I: Strip mobility

Hammer, Per; Petersson, Björn

doi:10.1016/0022-460x(89)90539-7

Cited by 15 publications

(6 citation statements)

References 1 publication

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“…However, for a PZT patch transducer, dimension of the connection area is comparable to the wavelength. The concept of strip mobility is introduced by Hammer and Petersson to study power transmission to a thin plate 22 . Subsequently, surface mobility concept on a circular contact area has been developed by Norwood et al 20 .…”

Section: Derivation Of Effective Line Moment Mobility On Infinite Thimentioning

confidence: 99%

Optimal piezoelectric shunt dampers for non-deterministic substructure vibration control: estimation and parametric investigation

Muthalif

Wahid

2021

Sci Rep

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Piezoelectric (PZT) shunt damping is an effective method to dissipate energy from a vibrating structure; however, most of the applications focus on targeting specific modes for structures vibrating at low-frequency range, i.e. deterministic substructure (DS). To optimally attenuate structures vibrating at high-frequency range, i.e. non-deterministic substructure (Non-DS) using a PZT shunt damper, it is found that the impedance of the PZT patch’s terminal needs to be the complex conjugate of its inherent capacitance paralleled with the impedance ‘faced’ by its non-deterministic host structure underline moment actuation. The latter was derived in terms of estimation of the effective line moment mobility of a PZT patch on a Non-DS plate by integrating the expression of driving point moment mobility of an infinite thin plate. This paper conducts a parametric investigation to study the effect of changing the size, quantity and configuration of the PZT patch to the performance of the optimal PZT shunt dampers in dissipating the energy of its non-deterministic host structure. Results are shown in terms of energy reduction ratio of the thin plate when attached with optimal PZT shunt damper(s).

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Section: Derivation Of Effective Line Moment Mobility On Infinite Thimentioning

confidence: 99%

Optimal piezoelectric shunt dampers for non-deterministic substructure vibration control: estimation and parametric investigation

Muthalif

Wahid

2021

Sci Rep

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“…1 The vibration velocity of point (x 1 ,Yl ) produced by vibration wave path r~ is [3] v(xl~),y,) = F. r(xo,y ol xi,y~) = F . I(0 ( H0 2) ( k r l ) -H~ 2) ( -jkq ) ).…”

Section: Theoretical Analysismentioning

confidence: 99%

The bending vibration response and approximate calculation of elastic cylindrical shell

2006

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Useful structure characteristics of elastic cylindrical shells have led them to being widely applied in virtual projects,so it is important to conduct vibration research on the shells and find it~ a simpler corresponding compact calculation method. Utilising the input and transfer point mobility of a thin plate structure, a theoretical expression of the cylindrical shell~ bending vibration responsewas deduced and numerical simulations were done to simplify the theoretical expression within an acceptable error margin, greatly reducing the amount of computations. Furthermore, whole vibration response distributions of the cylindrical shell were analyzed. It was found thathe vibration energy propagates in helical form under mono-frequency excitation, while under bandwidth frequency excitation, it attenuates around in term of fluctuation. The axial attenuation rate of the vibration energy is larger than the circumferential attenuation rate.

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“…Hammer and Petersson in [11] introduced the concept of strip mobility to investigate power transmission to a thin plate excited by transverse strip excitation. Later, Norwood et al [9] have developed the concept of surface mobility on a circular contact area using time-averaged input power and effective mobility.…”

Section: Introductionmentioning

confidence: 99%

Estimation and measurement of effective line mobility on a non-deterministic thin plate excited by a piezoelectric patch

Muthalif¹,

Wahid²

2020

J. vibroeng.

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This paper derived the expression to estimate the effective line moment mobility of a non-deterministic thin plate under moment excitation by a piezoelectric patch actuator. The piezoelectric patch actuator is assumed to generate purely line moments at each of its edges and regarded as a finite number of point moments acting on an infinite plate, which is achieved by integration method. The theoretical model is validated using MATLAB simulation and compared with experimental measurements on a randomized thin plate. The derived effective line moment mobility managed to closely estimate high-frequency response while cutting significant computational time and resource. Results from this study can be used in many applications ranging from vibration isolation where power transmission between the isolator with an area distribution and its host structure can be determined more accurately, and to design the optimal shunt circuit of a piezoelectric shunt damper for maximum power dissipation in order to reduce vibration of a non-deterministic thin plate.

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Strip excitation, Part I: Strip mobility

Cited by 15 publications

References 1 publication

Optimal piezoelectric shunt dampers for non-deterministic substructure vibration control: estimation and parametric investigation

Optimal piezoelectric shunt dampers for non-deterministic substructure vibration control: estimation and parametric investigation

The bending vibration response and approximate calculation of elastic cylindrical shell

Estimation and measurement of effective line mobility on a non-deterministic thin plate excited by a piezoelectric patch

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