Modelling piezoelectric excitation in waveguides using the semi-analytical finite element method

Kalkowski, Michał K.; Rustighi, Emiliano; Waters, T.P.

doi:10.1016/j.compstruc.2016.05.022

Cited by 17 publications

(11 citation statements)

References 43 publications

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“…Qualitative outcomes from the free wave analysis can be revisited and enriched by introducing a realistic excitation mechanism. The adopted modelling approach is briefly reviewed in this section and any further details can be found in our previous work (Kalkowski, 2015;Kalkowski et al, 2016).…”

Section: Wave-based Model For Piezoelectric Excitationmentioning

confidence: 99%

“…The adopted modelling approach is briefly reviewed in this section and any further details can be found in our previous work (Kalkowski 2015;Kalkowski et al 2016). …”

Section: Wave-based Model For Piezoelectric Excitationmentioning

confidence: 99%

“…We start from the free wave perspective by discussing the origin of high interface stress and the profound effect of wave attenuation. The actuation mechanism is introduced next using a wave-based model developed in our previous work (Kalkowski et al 2016). The model is then employed for simulating interface shear stress generated by two types of piezoelectric actuators for two illustrative structures.…”

Section: Outline Of the Papermentioning

confidence: 99%

“…Whilst the SAFE method is used widely for calculating dispersion curves, it was recently extended to include materials with piezoelectric coupling enabling the calculation of piezo-excited waves in the wave domain directly with no need for any assumption on the dynamics of the actuator or its mutual interaction with the structure (Kalkowski et al 2016). …”

Section: Wave-based Model For Piezoelectric Excitationmentioning

confidence: 99%

See 3 more Smart Citations

Delamination of surface accretions with structural waves: Piezo-actuation and power requirements

Kalkowski

Waters

Rustighi

2016

Journal of Intelligent Material Systems and Structures

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Unwanted accretions on structures, such as aircraft and wind turbine icing or deposits in pipes, are a common problem, which can pose a serious safety threat if not treated effectively and punctually. In this paper we investigate the capability of piezo-excited structural waves for delaminating accreted material. The core of the concept is to utilise the stress distribution associated with waves propagating through the structure to detach unwanted build-up.We apply a wave-based technique for modelling piezoelectric excitation based on semi-analytical finite elements to calculate the shear stress at the interface between the host structure and the accretion generated by piezoactuated waves. Our analyses include the effects of the actuator's dynamics and allow for comparing different types of actuators, identifying the most effective frequency of excitation and formulating realistic power requirements. For the dual purpose of proof of concept and validation of the model, we present a demonstration experiment in which patches of accreted material are removed from a beam-like waveguide with emulated anechoic terminations using ultrasonic excitation.

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Section: Wave-based Model For Piezoelectric Excitationmentioning

confidence: 99%

“…The adopted modelling approach is briefly reviewed in this section and any further details can be found in our previous work (Kalkowski 2015;Kalkowski et al 2016). …”

Section: Wave-based Model For Piezoelectric Excitationmentioning

confidence: 99%

Section: Outline Of the Papermentioning

confidence: 99%

Section: Wave-based Model For Piezoelectric Excitationmentioning

confidence: 99%

See 2 more Smart Citations

Delamination of surface accretions with structural waves: Piezo-actuation and power requirements

Kalkowski

Waters

Rustighi

2016

Journal of Intelligent Material Systems and Structures

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“…Based on the solution of an infinite waveguide to a concentrated load, [13] the wave amplitudes of the response have been represented in terms of the wave amplitude of the loads yielded from the integration. This technique is efficient for waveguides and simple periodic structures [14][15][16]. However, it cannot be applied easily for periodic structures subjected to external loads at inner nodes of each period, which come from complex shapes.…”

Section: Introductionmentioning

confidence: 99%

Wave finite element method for waveguides and periodic structures subjected to arbitrary loads

Hoang

Duhamel

Foret

2020

Finite Elements in Analysis and Design

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The wave finite element method has been developed for waveguides and periodic structures with advantages in the calculation time. However, this method cannot be applied easily if the structure is subjected to complex or density loads and this is the aim of this article. Based on the finite element method, the dynamic equation of one period of the structure is rewritten to obtain a relation between the responses (DOF and nodal loads) on the left and right boundaries. This relation presents an additive term which links to the loads applying on the period. Then, by using WFE technique, we can compute the wave mode of the period and the wave decomposition. Because of the periodicity, we can also obtain a relation between the response and the left and right ends of the structure. Afterwards, the response of the structure is calculated by using the wave decomposition to apply in the dynamic stiffness matrix (DSM) approach or the wave analysis (WA). For the DMS approach, this technique shows that the external loads have no contribution to the global matrix but they lead to a equivalent force in the dynamic equation. Meanwhile, the external loads create waves propagating to the left and right of the structure in the WA approach.

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On the numerical properties of high‐order spectral (Euler‐Bernoulli) beam elements

et al. 2023

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In this paper, the numerical properties of a recently developed high-order Spectral Euler-Bernoulli Beam Element (SBE) featuring a C 1 -continuous approximation of the displacement field are assessed. The C 1 -continuous shape functions are based on two main ingredients, which are an Hermitian interpolation scheme and the use of Gauß-Lobatto-Legendre (GLL) points. Employing GLL-points does not only avoid Runge oscillations, but also yields a diagonal mass matrix when exploiting the nodal quadrature technique as a mass lumping scheme. Especially in high-frequency transient analyses, where often explicit time integration schemes are utilized, having a diagonal mass matrix is an attractive property of the proposed element formulation. This is, however, achieved at the cost of an under-integration of the mass matrix. Therefore, a special focus of this paper is placed on the evaluation of the numerical properties, such as the conditioning of the element matrices and the attainable rates of convergence (ROCs). To this end, the numerical behavior of the SBEs is comprehensively analyzed by means of selected benchmark examples. In a nutshell, the obtained results demonstrate that the element yields good accuracy in combination with an increased efficiency for structural dynamics exploiting the diagonal structure of the mass matrix.

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Modelling piezoelectric excitation in waveguides using the semi-analytical finite element method

Cited by 17 publications

References 43 publications

Delamination of surface accretions with structural waves: Piezo-actuation and power requirements

Delamination of surface accretions with structural waves: Piezo-actuation and power requirements

Wave finite element method for waveguides and periodic structures subjected to arbitrary loads

On the numerical properties of high‐order spectral (Euler‐Bernoulli) beam elements

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