A thin piezoelectric hexahedron finite element applied to design of smart continua

Tzou, H. S.; Tseng, Chao-Wen; Bahrami, Hassan

doi:10.1016/0168-874x(94)90038-8

Cited by 23 publications

(19 citation statements)

References 10 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The four patches bonded to the bottom face and the other four patches bonded to the top face are used as sensors and actuators, respectively. This problem was considered by Tzou et al [13]. Properties of Plexiglas are given as density"1190 kg/m, elastic modulus"3.1 GPa, Poisson's ratio"0.35.…”

Section: Square Plate With Segmented Sensors and Actuatorsmentioning

confidence: 99%

“…For PVDF, the density is 1800 kg/m and the constitutive matrices (see Equation (8) The Plexiglas is modelled by 17;17 elements whereas each PVDF patch is modelled by 7;7 elements. The gap between the PVDF patches is not speci"ed in Reference [13] and is taken here rather arbitrary at 1/200 of Plexiglas length. Table III lists the "rst three eigenfrequencies of Plexiglas in the absence of the PVDF patches.…”

Section: Square Plate With Segmented Sensors and Actuatorsmentioning

confidence: 99%

“…Owing to complication of the segmentation which cannot be conveniently modelled by conventional laminated plate or shell elements, it is noteworthy that many of the developed "nite element models are solid in nature, i.e. there is no rotational d.o.f.s [9,12,13,15,16]. However, strict considerations of locking de"ciencies are often lacking in the course of developing these "nite element models.…”

Section: Introductionmentioning

confidence: 98%

See 2 more Smart Citations

A hybrid stress ANS solid-shell element and its generalization for smart structure modelling. Part II?smart structure modelling

Sze

Yao

2000

Int. J. Numer. Meth. Engng.

View full text Add to dashboard Cite

SUMMARYIn Part I of the paper, a hybrid-stress-assumed natural strain eight-node solid-shell element immune to shear, membrane, trapezoidal, thickness and dilatational lockings has been developed. Moreover, the element computational cost is reduced by enforcing admissible sparsity in the #exibility matrix. In this part of the paper, the solid-shell element is generalized to a piezoelectric solid-shell element. Using the two solid-shell elements, smart structures with segmented piezoelectric sensors and actuators can be conveniently modelled. A number of problems are studied and comparisons with other ad hoc element models for smart structure modelling are presented.

show abstract

Section: Square Plate With Segmented Sensors and Actuatorsmentioning

confidence: 99%

Section: Square Plate With Segmented Sensors and Actuatorsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

See 1 more Smart Citation

A hybrid stress ANS solid-shell element and its generalization for smart structure modelling. Part II?smart structure modelling

Sze

Yao

2000

Int. J. Numer. Meth. Engng.

View full text Add to dashboard Cite

show abstract

“…The "lms bonded to the top and bottom faces are used as actuators and sensors respectively [5]. The Plexiglass plate is modelled by 17;17 elements whereas each PVDF "lm is modelled by 7;7 elements.…”

Section: Square Plate With Segmented Sensors and Actuatorsmentioning

confidence: 99%

“…Owing to the geometric complexity of the surface-bonded sensors and actuators which are most conveniently modelled by continuum elements (no rotational d.o.f. ), many of the developed "nite element models are continuum in nature [1,4,5,7,8]. However, strict considerations of locking de"ciencies are often lacking in the course of developing these "nite element models.…”

Section: Introductionmentioning

confidence: 99%

Modelling Smart Structures With Segmented Piezoelectric Sensors and Actuators

Sze¹,

Yao²

2000

Journal of Sound and Vibration

View full text Add to dashboard Cite

In this paper, a number of "nite element models have been developed for comprehensive modelling of smart structures with segmented piezoelectric sensing and actuating patches. These include an eight-node solid-shell element for modelling homogeneous and laminated host structures as well as an eight-node solid-shell and a four-node piezoelectric membrane elements for modelling surface bonded piezoelectric sensing and actuating patches. To resolve the locking problems in these elements and improve their accuracy, assumed natural strain and hybrid stress formulations are employed. Furthermore, piezoelectric patches are often coated with metallization. The concept of electric nodes is introduced that can eliminate the burden of constraining the equality of the electric potential for physical nodes lying on the same metallization. A number of problems are studied by the developed "nite element models and comparisons with other ad hoc element models are presented.

show abstract

A hybrid stress ANS solid-shell element and its generalization for smart structure modelling. Part I?solid-shell element formulation

Sze

Yao

2000

Int. J. Numer. Meth. Engng.

146

114

View full text Add to dashboard Cite

SUMMARYIn the recent years, solid-shell "nite element models which possess no rotational degrees of freedom and applicable to thin plate/shell analyses have attracted considerable attention. Development of these elements are not straightforward. Shear, membrane, trapezoidal, thickness and dilatational lockings must be envisioned. In this part of this paper, a novel eight-node solid-shell element is proposed. To resolve the shear and trapezoidal lockings, the assumed natural strain (ANS) method is resorted to. The hybrid-stress formulation is employed to rectify the thickness and dilatational locking. The element is computationally more e$cient than the conventional hybrid elements by adopting orthogonal-assumed stress modes and enforcing admissible sparsity in the #exibility matrix. Popular benchmark tests are exercised to illustrate the e$cacy of the elements. In Part II of the paper, the element will be generalized for smart structure modelling by including the piezoelectric e!ect.

show abstract

A thin piezoelectric hexahedron finite element applied to design of smart continua

Cited by 23 publications

References 10 publications

A hybrid stress ANS solid-shell element and its generalization for smart structure modelling. Part II?smart structure modelling

A hybrid stress ANS solid-shell element and its generalization for smart structure modelling. Part II?smart structure modelling

Modelling Smart Structures With Segmented Piezoelectric Sensors and Actuators

A hybrid stress ANS solid-shell element and its generalization for smart structure modelling. Part I?solid-shell element formulation

Contact Info

Product

Resources

About