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  2. Föppl–von Kármán equations - Wikipedia

    en.wikipedia.org/wiki/Föppl–von_Kármán...

    where E is the Young's modulus of the plate material (assumed homogeneous and isotropic), υ is the Poisson's ratio, h is the thickness of the plate, w is the out–of–plane deflection of the plate, P is the external normal force per unit area of the plate, σ αβ is the Cauchy stress tensor, and α, β are indices that take values of 1 and ...

  3. Bending of plates - Wikipedia

    en.wikipedia.org/wiki/Bending_of_plates

    The left half of the plate shows the deformed shape, while the right half shows the undeformed shape. This calculation was performed using Ansys. Bending of plates, or plate bending, refers to the deflection of a plate perpendicular to the plane of the plate under the action of external forces and moments.

  4. Reissner-Mindlin plate theory - Wikipedia

    en.wikipedia.org/wiki/Reissner-Mindlin_plate_theory

    The Mindlin hypothesis implies that the displacements in the plate have the form = (,) ; =, = (,)where and are the Cartesian coordinates on the mid-surface of the undeformed plate and is the coordinate for the thickness direction, , =, are the in-plane displacements of the mid-surface, is the displacement of the mid-surface in the direction, and designate the angles which the normal to the mid ...

  5. Plate theory - Wikipedia

    en.wikipedia.org/wiki/Plate_theory

    In continuum mechanics, plate theories are mathematical descriptions of the mechanics of flat plates that draw on the theory of beams. Plates are defined as plane structural elements with a small thickness compared to the planar dimensions. [1] The typical thickness to width ratio of a plate structure is less than 0.1.

  6. Vibration of plates - Wikipedia

    en.wikipedia.org/wiki/Vibration_of_plates

    Vibration mode of a clamped square plate. The vibration of plates is a special case of the more general problem of mechanical vibrations.The equations governing the motion of plates are simpler than those for general three-dimensional objects because one of the dimensions of a plate is much smaller than the other two.

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  8. Plate (structure) - Wikipedia

    en.wikipedia.org/wiki/Plate_(structure)

    A plate is a structural element which is characterized by a three-dimensional solid whose thickness is very small when compared with other dimensions. [ 1 ] The effects of the loads that are expected to be applied on it only generate stresses whose resultants are, in practical terms, exclusively normal to the element's thickness.

  9. American Airlines flight diverts to JFK after apparent bird ...

    www.aol.com/american-airlines-flight-diverts-jfk...

    An American Airlines flight departing New York's LaGuardia Airport on Thursday evening had to divert to nearby John F. Kennedy International shortly after takeoff after a reported bird strike ...