Kirchhoff Theory

The problem of the moment distribution resulting from a uniform pressure load acting over the surface of a circular plate containing a ring of equally spaced circular holes with, and without, a central circular hole is solved within the framework of the Poisson-Kirchhoff theory of plates. A general boundary condition is applied at the outer rim of the plate to make the solution valid for a range of conditions from the simply supported case to the clamped case. The edges of the perforations are allowed to be either free or to have a net shear force acting. Numerical results in the form of curves are given for typical cases, and the results of a photoelastic test are also presented.

Download Full-text

Direct Ply Thickness Computation of Laminated Plates for Which the Kirchhoff Theory Predicts the Fundamental Frequency Within the Specified Degree of Accuracy

Journal of Sound and Vibration ◽

10.1006/jsvi.1993.1227 ◽

1993 ◽

Vol 164 (3) ◽

pp. 445-458 ◽

Cited By ~ 1

Author(s):

A. Bhimaraddi

Keyword(s):

Fundamental Frequency ◽

Laminated Plates ◽

Kirchhoff Theory

Download Full-text

Thin Plates. Kirchhoff Theory

Structural Analysis with the Finite Element Method Linear Statics - Lecture Notes on Numerical Methods in Engineering and Sciences ◽

10.1007/978-1-4020-8743-1_5 ◽

2013 ◽

pp. 233-290

Author(s):

Eugenio Oñate

Keyword(s):

Thin Plates ◽

Kirchhoff Theory

Download Full-text

Adding Subsurface Attenuation to the Beckmann-Kirchhoff Theory

Pattern Recognition and Image Analysis - Lecture Notes in Computer Science ◽

10.1007/11492542_31 ◽

2005 ◽

pp. 247-254

Author(s):

Hossein Ragheb ◽

Edwin R. Hancock

Keyword(s):

Kirchhoff Theory

Download Full-text

Analysis of the vibration behavior of FGM cylindrical shells including internal pressure and ring support effects based on Love-Kirchhoff theory with various boundary conditions

Journal of Mechanical Science and Technology ◽

10.1007/s12206-014-0630-4 ◽

2014 ◽

Vol 28 (7) ◽

pp. 2759-2768 ◽

Cited By ~ 4

Author(s):

M. R. Isvandzibaei ◽

H. Jamaluddin ◽

R. I. Raja Hamzah

Keyword(s):

Boundary Conditions ◽

Internal Pressure ◽

Cylindrical Shells ◽

Support Effects ◽

Various Boundary Conditions ◽

Vibration Behavior ◽

Ring Support ◽

Kirchhoff Theory

Download Full-text

Near‐normal incidence scattering from rough, finite surfaces: Kirchhoff theory and data comparison

The Journal of the Acoustical Society of America ◽

10.1121/1.2028279 ◽

1990 ◽

Vol 87 (S1) ◽

pp. S56-S56

Author(s):

P. D. Mourad ◽

K. L. Williams ◽

R. E. Francois ◽

G. R. Garrison

Keyword(s):

Normal Incidence ◽

Data Comparison ◽

Kirchhoff Theory

Download Full-text

Gain of a E-plane sectoral horn--A failure of the Kirchhoff theory and a new proposal

IRE Transactions on Antennas and Propagation ◽

10.1109/tap.1974.1140750 ◽

1974 ◽

Vol 22 (2) ◽

pp. 221-226 ◽

Cited By ~ 14

Author(s):

E. Jull ◽

L. Allan

Keyword(s):

Kirchhoff Theory ◽

Sectoral Horn

Download Full-text

Green’s Functions for Infinite and Semi-infinite Anisotropic Thin Plates

Journal of Applied Mechanics ◽

10.1115/1.1533806 ◽

2003 ◽

Vol 70 (2) ◽

pp. 260-267 ◽

Cited By ~ 25

Author(s):

Z.-Q. Cheng ◽

J. N. Reddy

Keyword(s):

Green's Functions ◽

Green’S Functions ◽

Infinite Plate ◽

Fundamental Solutions ◽

Thin Plates ◽

Green Functions ◽

Real Form ◽

Concentrated Forces ◽

Anisotropic Elastic ◽

Kirchhoff Theory

This paper presents fundamental solutions of an anisotropic elastic thin plate within the context of the Kirchhoff theory. The plate material is inhomogeneous in the thickness direction. Two systems of problems with non-self-equilibrated loads are solved. The first is concerned with in-plane concentrated forces and moments and in-plane discontinuous displacements and slopes, and the second with transverse concentrated forces. Exact closed-form Green’s functions for infinite and semi-infinite plates are obtained using the recently established octet formalism by the authors for coupled stretching and bending deformations of a plate. The Green functions for an infinite plate and the surface Green functions for a semi-infinite plate are presented in a real form. The hoop stress resultants are also presented in a real form for a semi-infinite plate.

Download Full-text