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Chun-fu Chen - One of the best experts on this subject based on the ideXlab platform.

  • LINEAR ANALYTICAL STUDY OF LARGE DEFLECTION OF PIEZOELECTRIC LAYERED PLATE UNDER INITIAL TENSION
    Journal of Mechanics, 2013
    Co-Authors: Chun-fu Chen, B.-c. Huang
    Abstract:

    The linear problem of large deflection of a clamped and layered piezoelectric circular plate under initial tension due to lateral pressure is solved. Von Karman plate theory for large deflection is extended to a symmetrically laminated case including a piezoelectric layer. The thus derived nonlinear governing Equations are simplified by neglecting the arising nonlinear terms, yielding a Modified Bessel Equation or a standard Bessel Equation for the lateral slope. These Equations are solved analytically by imposing boundary conditions for the clamped edge. For a 3-layered nearly monolithic plate with a low applied voltage upon the piezoelectric layer, the results are in a good agreement with those available in literature for a single-layered plate under pure mechanical loading, thus validates the present approach. Typical 3layered piezoelectric plates are then implemented and the results show that, piezoelectric effect seems to be apparent only up to a moderate initial tension. For a relatively high pretension, the effect of initial tension appears to be dominant, yielding nearly the same results for the structural responses, regardless of the piezoelectric effect, i.e., the magnitude of voltage applied upon the piezo-electric layer.

  • Transition behavior in large deflection of elastically-bossed unsymmetrically layered plate under initial tension
    2013 8th International Microsystems Packaging Assembly and Circuits Technology Conference (IMPACT), 2013
    Co-Authors: Chun-fu Chen, Dz-lung Tsai
    Abstract:

    The transition behavior of an elastically-bossed un-symmetrically layered plate in large deflection due to lateral load is studied. von Karman plate theory for large deflection is utilized and extended to the case of a pre-stressed un-symmetrically layered plate with an elastic boss. The governing Equations are simplified to a Modified Bessel Equation for the lateral slope, by neglecting the arising nonlinear terms following a linear consideration. Analytical solution is developed by imposing the interface continuity and the clamped-end boundary condition, which is expressible via Modified Bessel functions of the first and the second kinds, rather than only the first kind for a flat plate. A subsequent integration is performed to evaluate the deflection at the center of the plate for studying the transition behavior as a function of pretension. For a nearly monolithic plate with a shallow boss, the results agree well with those of a flat plate available in literature, thus validates the presented approach. For two-layered un-symmetric plates made of typical silicon based materials, various radial sizes and thickness for the center boss are implemented. The solutions show that, widening the center boss may appreciably extend the range of pretension for the plate mode and thus enlarge the pretension for transferring to a membrane behavior.

  • transition behavior in large deflection of un symmetrically layered piezo electric plate under initial tension
    International Microsystems Packaging Assembly and Circuits Technology Conference, 2012
    Co-Authors: Chun-fu Chen
    Abstract:

    Transition behavior in large deflection of un-symmetrically layered piezoelectric plate under pretension due to lateral load is studied. von Karman plate theory for large deflection is utilized and extended to the case of an un-symmetrically layered plate including a piezoelectric layer. The derived governing Equations are simplified by neglecting the arising nonlinear terms for a linear consideration, yielding a Bessel or Modified Bessel Equation for the lateral slope. Analytical solutions for geometrical responses expressible in terms of Bessel and Modified Bessel functions were developed, respectively, depending on the relative magnitude of piezoelectric effect. For a nearly monolithic plate under a very low applied voltage, the solutions correlate well with those for a single-layered case due to uniform lateral load available in literature and thus the present approach is checked. For a two-layered un-symmetric plate made of typical silicon-based materials, the transition behaviour is seen to be apparently influenced by the piezoelectric effect only in a low pretension condition.

  • Transition behavior in large deflection of elastically-bossed sensor plate under initial tension
    2010 IEEE Sensors, 2010
    Co-Authors: Chun-fu Chen, Nai-di Gao
    Abstract:

    The transition behavior of an elastically-bossed layered plate under pretension in large deflection due to lateral load is studied. The nonlinear governing Equation reduces to a Modified Bessel Equation for the lateral slope, following a linear consideration. Analytical solutions for the geometrical responses were developed and were found to be expressible in terms of both the first and the second kinds of Modified Bessel functions. The deflection at the center of the plate as a function of initial tension was evaluated that shows the transition behavior for various in-plane boss size and relative boss thickness, as a parametric study.

  • analytical geometrical responses in large deflection of simply supported piezoelectric layered plate under initial tension
    Journal of The Chinese Institute of Engineers, 2010
    Co-Authors: Chun-fu Chen, John-han Chen
    Abstract:

    Abstract The analytical geometrical responses in large deflection of a simply supported and layered piezoelectric circular plate under initial tension due to lateral pressure are presented. The approach follows von Karman plate theory for large deflection with a consideration of a symmetrically laminated case including a piezoelectric layer. The related nonlinear governing Equations are derived in a non‐dimensional form and are simplified by neglecting the arising nonlinear terms, yielding a Modified Bessel Equation or a standard Bessel Equation for the lateral slope. The associated analytical solutions are developed by imposing the simply supported edge conditions of the problem. For a 3‐layered nearly monolithic plate under a low pretension and a low applied voltage upon the piezoelectric layer, the results agree well with those obtained by using the classical plate theory for a single‐layered plate under pure mechanical loading, and thus the developed approach is validated. Typical 3‐layered piezoelect...

John-han Chen - One of the best experts on this subject based on the ideXlab platform.

  • analytical geometrical responses in large deflection of simply supported piezoelectric layered plate under initial tension
    Journal of The Chinese Institute of Engineers, 2010
    Co-Authors: Chun-fu Chen, John-han Chen
    Abstract:

    Abstract The analytical geometrical responses in large deflection of a simply supported and layered piezoelectric circular plate under initial tension due to lateral pressure are presented. The approach follows von Karman plate theory for large deflection with a consideration of a symmetrically laminated case including a piezoelectric layer. The related nonlinear governing Equations are derived in a non‐dimensional form and are simplified by neglecting the arising nonlinear terms, yielding a Modified Bessel Equation or a standard Bessel Equation for the lateral slope. The associated analytical solutions are developed by imposing the simply supported edge conditions of the problem. For a 3‐layered nearly monolithic plate under a low pretension and a low applied voltage upon the piezoelectric layer, the results agree well with those obtained by using the classical plate theory for a single‐layered plate under pure mechanical loading, and thus the developed approach is validated. Typical 3‐layered piezoelect...

  • Analytical Linear study of Large Deflection of Simply Supported Layered-Plate under Initial Tension
    2008 3rd International Microsystems Packaging Assembly & Circuits Technology Conference, 2008
    Co-Authors: Chun-fu Chen, John-han Chen
    Abstract:

    The problem of large deflection of a simply supported layered plate under initial tension is studied. The approach is based on von Karman plate theory for large deflection in deriving the nonlinear governing Equations for the lateral slope and radial force resultant, followed by a non-dimensional scheme. To have a preliminary insight, however, only the linear problem is considered by neglecting the arising nonlinear terms, yielding a Modified Bessel Equation for the lateral slope. This Equation is solved analytically by considering the boundary conditions of simply supported ends along the edge. The related geometrical responses are then obtained by utilizing the re-occurrence relationships between the Modified Bessel functions. Emphasis is placed upon the investigation of the effects of initial tension and deviation in layer moduli upon the transition behavior between a plate and a membrane as well as the deviation in the edge zone behavior near the boundary of the plate, between a simply supported case and a clamped one, for typical micro-plates made of common silicon-based materials.

Nai-di Gao - One of the best experts on this subject based on the ideXlab platform.

  • Transition behavior in large deflection of elastically-bossed sensor plate under initial tension
    2010 IEEE Sensors, 2010
    Co-Authors: Chun-fu Chen, Nai-di Gao
    Abstract:

    The transition behavior of an elastically-bossed layered plate under pretension in large deflection due to lateral load is studied. The nonlinear governing Equation reduces to a Modified Bessel Equation for the lateral slope, following a linear consideration. Analytical solutions for the geometrical responses were developed and were found to be expressible in terms of both the first and the second kinds of Modified Bessel functions. The deflection at the center of the plate as a function of initial tension was evaluated that shows the transition behavior for various in-plane boss size and relative boss thickness, as a parametric study.

Dz-lung Tsai - One of the best experts on this subject based on the ideXlab platform.

  • Transition behavior in large deflection of elastically-bossed unsymmetrically layered plate under initial tension
    2013 8th International Microsystems Packaging Assembly and Circuits Technology Conference (IMPACT), 2013
    Co-Authors: Chun-fu Chen, Dz-lung Tsai
    Abstract:

    The transition behavior of an elastically-bossed un-symmetrically layered plate in large deflection due to lateral load is studied. von Karman plate theory for large deflection is utilized and extended to the case of a pre-stressed un-symmetrically layered plate with an elastic boss. The governing Equations are simplified to a Modified Bessel Equation for the lateral slope, by neglecting the arising nonlinear terms following a linear consideration. Analytical solution is developed by imposing the interface continuity and the clamped-end boundary condition, which is expressible via Modified Bessel functions of the first and the second kinds, rather than only the first kind for a flat plate. A subsequent integration is performed to evaluate the deflection at the center of the plate for studying the transition behavior as a function of pretension. For a nearly monolithic plate with a shallow boss, the results agree well with those of a flat plate available in literature, thus validates the presented approach. For two-layered un-symmetric plates made of typical silicon based materials, various radial sizes and thickness for the center boss are implemented. The solutions show that, widening the center boss may appreciably extend the range of pretension for the plate mode and thus enlarge the pretension for transferring to a membrane behavior.

B.-c. Huang - One of the best experts on this subject based on the ideXlab platform.

  • LINEAR ANALYTICAL STUDY OF LARGE DEFLECTION OF PIEZOELECTRIC LAYERED PLATE UNDER INITIAL TENSION
    Journal of Mechanics, 2013
    Co-Authors: Chun-fu Chen, B.-c. Huang
    Abstract:

    The linear problem of large deflection of a clamped and layered piezoelectric circular plate under initial tension due to lateral pressure is solved. Von Karman plate theory for large deflection is extended to a symmetrically laminated case including a piezoelectric layer. The thus derived nonlinear governing Equations are simplified by neglecting the arising nonlinear terms, yielding a Modified Bessel Equation or a standard Bessel Equation for the lateral slope. These Equations are solved analytically by imposing boundary conditions for the clamped edge. For a 3-layered nearly monolithic plate with a low applied voltage upon the piezoelectric layer, the results are in a good agreement with those available in literature for a single-layered plate under pure mechanical loading, thus validates the present approach. Typical 3layered piezoelectric plates are then implemented and the results show that, piezoelectric effect seems to be apparent only up to a moderate initial tension. For a relatively high pretension, the effect of initial tension appears to be dominant, yielding nearly the same results for the structural responses, regardless of the piezoelectric effect, i.e., the magnitude of voltage applied upon the piezo-electric layer.