Bending of Rectangular Plates with Large Deflection

Bending of Rectangular Plates with Large Deflection
Author:
Publisher:
Total Pages: 37
Release: 1948
Genre:
ISBN:

Von Karman's equations for thin plates with large deflections are solved for the special cases of rectangular plates having ratios of length to width of 1.5 and 2 and loaded by uniform normal pressure. The boundary conditions are such as to approximate panels with riveted edges under normal pressure greater than that of the surrounding panels. Center deflections, membrane stresses, and extreme-fiber bending stresses are given as functions of the pressure for center deflections up to twice the thickness of the plate. For small deflections the results are consistent with those given by Timoshenko.

Bending of Rectangular Plates with Large Deflections

Bending of Rectangular Plates with Large Deflections
Author: Chi-Teh Wang
Publisher:
Total Pages: 34
Release: 1948
Genre: Plates (Engineering)
ISBN:

This document presents the solution of Von Karman equations for thin plates with large deflections for special cases of rectangular plates of 1.5 and 2.0 length-width ratios under uniform normal pressure. The boundary conditions approximate panels with riveted edges under normal pressure greater than that of the surrounding panels. Center deflections (to twice the plate thickness), membrane stresses, and extreme-fiber bending stresses are given as functions of the pressure. For small deflections, the results are consistent with those given by Timoshenko.

Nonlinear Analysis of Structures (1997)

Nonlinear Analysis of Structures (1997)
Author: Muthukrishnan Sathyamoorthy
Publisher: CRC Press
Total Pages: 548
Release: 2017-11-22
Genre: Mathematics
ISBN: 1351359819

Nonlinear Analysis of Structures presents a complete evaluation of the nonlinear static and dynamic behavior of beams, rods, plates, trusses, frames, mechanisms, stiffened structures, sandwich plates, and shells. These elements are important components in a wide variety of structures and vehicles such as spacecraft and missiles, underwater vessels and structures, and modern housing. Today's engineers and designers must understand these elements and their behavior when they are subjected to various types of loads. Coverage includes the various types of nonlinearities, stress-strain relations and the development of nonlinear governing equations derived from nonlinear elastic theory. This complete guide includes both mathematical treatment and real-world applications, with a wealth of problems and examples to support the text. Special topics include a useful and informative chapter on nonlinear analysis of composite structures, and another on recent developments in symbolic computation. Designed for both self-study and classroom instruction, Nonlinear Analysis of Structures is also an authoritative reference for practicing engineers and scientists. One of the world's leaders in the study of nonlinear structural analysis, Professor Sathyamoorthy has made significant research contributions to the field of nonlinear mechanics for twenty-seven years. His foremost contribution to date has been the development of a unique transverse shear deformation theory for plates undergoing large amplitude vibrations and the examination of multiple mode solutions for plates. In addition to his notable research, Professor Sathyamoorthy has also developed and taught courses in the field at universities in India, Canada, and the United States.