Finite Element Modelling of Structures Including Piezoelectric Active Devices

Kim, Jaehwan; Varadan, Vasundara V.; Varadan, Vijay K.

doi:10.1002/(sici)1097-0207(19970315)40:5<817::aid-nme90>3.0.co;2-b

Cited by 121 publications

(91 citation statements)

References 17 publications

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“…A brief review on the finite element models of a structure with sensors and actuators can be found in Kim et al (1997). Benjeddou (2000) had surveyed the advances and discussed the trends in the formulations and the applications of the finite element modeling of adaptive structural elements.…”

Section: Introductionmentioning

confidence: 99%

A semi-analytical solution for static and dynamic analysis of plates with piezoelectric patches

Qing

Qiu

Liu

2006

International Journal of Solids and Structures

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A modified mixed variational principle for piezoelectric materials is established and the state-vector equation of piezoelectric plates is deduced directly from the principle. Then the exact solution of the state-vector equation is simply given, and based on the semi-analytical solution of the state-vector equation, a realistic mathematical model is proposed for static analysis of a hybrid laminate and dynamic analysis of a clamped aluminum plate with piezoelectric patches. Both the plate and patches are considered as two three-dimensional piezoelectric bodies, but the same linear quadrilateral element is used to discretize the plate and patches. This method accounts for the compatibility of generalized displacements and generalized stresses on the interface between the plate and patches, and the transverse shear deformation and the rotary inertia of the plate and patches are also considered in the global algebraic equation system. Meanwhile, there is no restriction on the thickness of plate and patches. The model can be also modified to achieve a semi-analytical solution for the transient responses to dynamic loadings and the vibration control of laminated plate with piezoelectric patches or piezoelectric stiffeners.

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Section: Introductionmentioning

confidence: 99%

A semi-analytical solution for static and dynamic analysis of plates with piezoelectric patches

Qing

Qiu

Liu

2006

International Journal of Solids and Structures

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“…Tzou and Tseng (1990) proposed a thin PZT solid element with internal degrees of freedom (DOF). Kim et al (1997) presented a finite element model for structures including piezoelectric active devices, in which, full 3D elements were used to model piezoelectric devices and conventional plate elements to model a host plate. Seshu and Naganathan (1997) used a full 2D nine-noded Lagrangian element to model PZT patches, adhesive layers and a host beam.…”

Section: Introductionmentioning

confidence: 99%

An accurate laminated element for piezoelectric smart beams including peel stress

Luo

Tong

2004

Computational Mechanics

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This paper presents a laminated element for piezoelectric (PZT) smart beams in taking into account peel stresses. In the finite element analysis (FEA) formulation, a coupled electrical and mechanical beam element is used to model PZT patches, and a conventional structural element is used to model a host beam. A continuous adhesive element with shear and peel stiffness is derived to form a PZT laminated element. For a smart beam with a partially bonded PZT patch or distributed PZTs, the laminated element is applied to an area of the host beam with PZTs and the conventional element is used in the host beam where no PZT is bonded. A novel PZT laminated element is firstly derived based on the Timoshenko beam theory, in which the FEA formulation based on the Euler-Bernoulli beam theory can be considered as its special case. FEA numerical results of static and dynamic analyses based on the Euler-Bernoulli beam theory are compared with the exact static and dynamic solutions to validate the present FEA formulation. The present FEA framework based on the Timoshenko beam theory is then used to investigate the effects of PZT debondings on static behaviors and dynamic responses, and an original and effective procedure for detecting debondings in PZT actuators or sensors is proposed. IntroductionIn the model developed by Crawley and de Luis (1987), the finite thickness adhesive was assumed to transfer shear stresses only. In our recent studies (Luo and Tong, 2002a, b), it has been shown that peel stresses in adhesive can significantly affect mechanical behaviors and dynamic responses of smart structures. This is especially true for flexible smart structures and in the presence of debondings. Analytical solutions to smart structures are either limited or too complicated for practical applications, and FEA has been widely used in smart structures as it can effectively deal with complex geometric shapes, loadings and boundary conditions. Allik and Hughes (1970) presented a finite element method for piezoelectric or electroelastic structures. They developed FEA formulations by applying the principle of virtual displacements to a continuum under the influence of electrical and mechanical forces. In smart structures, PZT patches are normally bonded to or embedded in a host structure to achieve active control function, and therefore, FEA implementation for smart structures should take into consideration both PZT patch elements and conventional structural elements.A full 3D FEA is an effective tool for solving smart structures. Tzou and Tseng (1990) proposed a thin PZT solid element with internal degrees of freedom (DOF). Kim et al. (1997) presented a finite element model for structures including piezoelectric active devices, in which, full 3D elements were used to model piezoelectric devices and conventional plate elements to model a host plate. Seshu and Naganathan (1997) used a full 2D nine-noded Lagrangian element to model PZT patches, adhesive layers and a host beam.However, it is well known that a full 3D FEA for smart plates ...

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“…We select Ansys [22][23][24][25] to model the structure because it includes piezoelectric element models and is widely used in industrial and research field. Different configuration can be adopted [26].…”

Section: Energy Converter Modelingmentioning

confidence: 99%

Interactive method for autonomous microsystem design

Dupé

Briand

2009

Int J Interact Des Manuf

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This paper describes a multidisciplinary and interactive approach for the design of autonomous microsystems. These devices satisfy the actual requirements in terms of size, cost and autonomy. This autonomy is obtained by harvesting the energy in microsystem environment. There is no denying that microsystem design requires multidisciplinary skills and necessitates collaboration between several groups with different fields of expertise. All aspects have to be considered to get a mechanically, electronically and energetically efficient structure, consistent with the specifications and the requirements of the problem. However, few designers are competent enough in all the involved engineering fields. Thereby, we propose a multidisciplinary and interactive approach for autonomous microsystem design. This method delves into several steps. It begins by a global description and analysis of the system in its environment. This problem structuring is mainly based on the use of tools of functional analysis. Then, the autonomous microsystem is modeled, with a special care on energy harvester design. The method is applied to energy harvester design for automotive braking system instrumentation. The interactive character is present through the consideration of interactions (cognitive, physical and sensory). Finally, the multidisciplinary aspect is ensured by the collaboration and the exchanges between designers and numeric tools.

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Finite Element Modelling of Structures Including Piezoelectric Active Devices

Cited by 121 publications

References 17 publications

A semi-analytical solution for static and dynamic analysis of plates with piezoelectric patches

A semi-analytical solution for static and dynamic analysis of plates with piezoelectric patches

An accurate laminated element for piezoelectric smart beams including peel stress

Interactive method for autonomous microsystem design

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