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This paper addresses the modeling of strains generated by magnetostrictive transducers in response to applied magnetic elds. The measured strains are dependent upon both the rotation of moments within the material in response to the eld and the elastic properties of the material. The magnetic behavior is characterized through the consideration of the… (More)

This paper addresses the development of a unified framework for quantifying hysteresis and con-stitutive nonlinearities inherent to ferroelectric, ferromagnetic and ferroelastic materials. Because the mechanisms which produce hysteresis vary substantially at the microscopic level, it is more natural to initiate model development at the mesoscopic, or… (More)

In this paper, the modeling of boundary conditions for an imperfectly clamped circular plate is discussed. This model is derived under the assumption that there is some variation in both the boundary displacement and slope when the plate oscillates. To account for this oscillation, boundary moment terms, involving parameters to be estimated through… (More)

- R C Smith
- 1997

A phenomenological characterization of hysteresis in magnetostrictive materials is presented. Such h ysteresis is due to both the driving magnetic elds and stress relations within the material and is signicant throughout most of the drive range of magnetostrictive transducers. An accurate characterization of the hysteresis and material nonlinearities is… (More)

- Ralph C. Smith
- 1997

A Galerkin method for systems of PDE's in circular geometries is presented with motivating problems being drawn from structural, acoustic and structural acoustic applications. Depending upon the application under consideration, piecewise splines or Legendre polynomials are used when approximating the system dynamics with modications included to incorporate… (More)

A problem of continued interest concerns the control of vibrations in a exible structure and the related problem of reducing structure-borne noise in structural acoustic systems. In both cases, piezoceramic patches bonded to the structures have been successfully used as control actuators. Through the application of a controlling voltage, the patches can be… (More)

- R C H Del Rosario, R C Smith
- 1996

A spline-based method for approximating thin shell dynamics is presented here. While the method is developed in the context of the Donnell-Mushtari thin shell equations, it can be easily extended to the Byrne-Fl ugge-Lur'ye equations or other models for shells of revolution as warranted by applications. The primary requirements for the method include… (More)

This paper provides a theory for quantifying the hysteresis and constitutive nonlinearities inherent to piezoceramic compounds through a combination of free energy analysis and stochastic homogenization techniques. In the first step of the model development, Helmholtz and Gibbs free energy relations are constructed at the lattice or domain level to quantify… (More)

This paper addresses the modeling of hysteresis in ferroelectric materials through consideration of domain wall bending and translation. The development is considered in two steps. In the rst step, dielectric constitutive relations are obtained through consideration of Langevin, Ising spin and preferred orientation theory with domain interactions… (More)