A piezoelectric sensor embedded in a non-piezoelectric matrix

Fan, Hui; Qin, S.

doi:10.1016/0020-7225(94)00061-n

Cited by 29 publications

(19 citation statements)

References 5 publications

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“…The electric Eshelby tensor, s nb , is only a function of the ellipsoidal aspect ratio and the components are presented in Hatta and Taya (1986) and Fan and Qin (1995). Substituting Eq.…”

Section: Non-piezoelectric Matrix With Piezoelectric Inclusionsmentioning

confidence: 98%

“…The assumption of no electro-mechanical interaction in the matrix material partially decouples the original piezoelectric inclusion problem into two equivalent inclusion problems, namely, an elastic inclusion problem and dielectric inclusion problem (Fan and Qin, 1995).…”

Section: Non-piezoelectric Matrix With Piezoelectric Inclusionsmentioning

confidence: 99%

“…Fan and Qin (1995) analyzed a piezoelectric sensor embedded in a non-piezoelectric elastic matrix by using Eshelby's equivalent inclusion method (Eshelby, 1957;Mura, 1987). The piezoelectric problem was decoupled into an elastic inclusion problem and a dielectric inclusion problem connected by some eigenstrain and eigenelectric field.…”

Section: Introductionmentioning

confidence: 99%

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Vibration of beams with piezoelectric inclusions

Della

Shu

2007

International Journal of Solids and Structures

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A mathematical model for the vibration of beams with piezoelectric inclusions is presented. The piezoelectric inclusion in a non-piezoelectric matrix (host beam) is analyzed as two inhomogeneous inclusion problems, elastic and dielectric, by using Eshelby's equivalent inclusion method. The natural frequency of the beam is determined from the variational principle in Rayleigh quotient form, which is expressed as functions of the elastic strain energy and dielectric energy of the piezoelectric inclusion. The Euler-Bernoulli beam theory and Rayleigh-Ritz approximation technique are used in the present analysis. In addition, a parametric study is conducted to investigate the influence of the energies due to piezoelectric coupling on the natural frequency of the beam.

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“…The electric Eshelby tensor, s nb , is only a function of the ellipsoidal aspect ratio and the components are presented in Hatta and Taya (1986) and Fan and Qin (1995). Substituting Eq.…”

Section: Non-piezoelectric Matrix With Piezoelectric Inclusionsmentioning

confidence: 98%

Section: Non-piezoelectric Matrix With Piezoelectric Inclusionsmentioning

confidence: 99%

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Vibration of beams with piezoelectric inclusions

Della

Shu

2007

International Journal of Solids and Structures

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“…The details of the formulation can be found in Fan and Qin (1995). Figure 1 shows a beam with piezoelectric inclusions.…”

Section: Energies Of Piezoelectric Inclusionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Natural frequency of beams with embedded piezoelectric sensors and actuators

Della¹,

Shu²

2008

World Forum on Smart Materials and Smart Structures Technology

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A mathematical model is developed to study the natural frequency of beams with embedded piezoelectric sensors and actuators. The piezoelectric sensors/actuators in a non-piezoelectric matrix (host beam) are analyzed as two inhomogeneity problems by using Eshelby's equivalent inclusion method. The natural frequency of the beam is determined from the variational principle in Rayleigh quotient form, which is expressed as functions of the elastic strain energy and dielectric energy of the piezoelectric sensors/actuators. The Euler-Bernoulli beam theory and Rayleigh-Ritz approximation technique are used in the present analysis. Parametric studies show that the size, volume fraction and location of the piezoelectric inclusions significantly influence the natural frequency of the beam.

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Theory of Electroelasticity

Kuang¹

2014

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A piezoelectric sensor embedded in a non-piezoelectric matrix

Cited by 29 publications

References 5 publications

Vibration of beams with piezoelectric inclusions

Vibration of beams with piezoelectric inclusions

Natural frequency of beams with embedded piezoelectric sensors and actuators

Theory of Electroelasticity

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