STATICS AND DYNAMICS OF PLATES WITH LARGE DEFLECTIONS

The static and dynamic behavior of plates with large deflections and rotations is considered. The rigorous derivation of the nonlinear dynamical plate equations from the three-dimensional elasticity theory is presented. Hamilton's principle, together with a general method of expansion for kinematic variables, is used in the derivation. The kinematic variables are represented by an infinite series of functions in terms of the thickness coordinate. These functions are chosen either as unknown a priori and independent functions in plate space (Separation of variables technique) or as known functions which satisfy the prescribed geometrical boundary conditions (Rayleigh-Ritz procedure). Accordingly, two alternative derivations of plate theory are consistently established, in which the effects of inertia, both transverse and in-plane, and of temperature are included, as is the influence of heterogeneity and anisotropy of the material. Simplifications are introduced in order to arrive at the Reissner and mindlin plate theories, and after complete Reissner and Mindlin plate theories, and after complete other physical effects, the well-known Karman equations are obtained.

• Corporate Authors:

  Cornell University

  School of Civil and Environmental Engineering
  Ithaca, NY  United States  14853
• Authors:
  • Dokmeci, M C
• Publication Date: 1972

Media Info

• Pagination: 217 p.

Subject/Index Terms

• TRT Terms: Deflection; Dynamic loads; Elastic deformation; Static loads; Structural plates
• Uncontrolled Terms: Three dimensional stress
• Old TRIS Terms: Plate deflections; Static loading
• Subject Areas: Marine Transportation; Materials;

Filing Info

• Accession Number: 00044302
• Record Type: Publication
• Source Agency: Shock and Vibration Digest
• Report/Paper Numbers: PhD Thesis
• Files: TRIS
• Created Date: May 11 1973 12:00AM