Large Deflections in Clamped Circular Plates

Large Deflections in Clamped Circular Plates
Author: L. Ellington
Publisher:
Total Pages: 30
Release: 1963
Genre:
ISBN:

The stresses induced by large deflections have been derived for the case of a clamped flat circular plate that is uniformly loaded to its failure point. The analysis is based on an assumed deflection contour and is, therefore, an approximation. However, the boundary conditions are satisfied and the relatively uncomplicated expressions for membrane and bending stress yield critical impulse values which may be scaled successfully to apply to plates of other dimensions. The expressions for the principal stresses in a clamped flat circular plate are analyzed.

Large Deflections of Clamppd Circular Plates Under Initial Tension and Transitions to Membrane Behavior

Large Deflections of Clamppd Circular Plates Under Initial Tension and Transitions to Membrane Behavior
Author: Mark Sheplak
Publisher:
Total Pages: 34
Release: 1997
Genre:
ISBN:

The large deflections of a clamped, circular plate are investigated over a wide range of transverse loadings and initial in-plane tension loads. The continuous transition from plate behavior to membrane behavior is described in detail, along with the development of the accompanying edge zone region where properties change rapidly. We give a simple approximation of this edge zone and its properties, provide limits for the validity of small deflection, linear theory, and note the similar effects of large in-plane tension and large transverse loading. The values and trends are presented in general non-dimensional form, and should prove useful for the design of thin circular disks for micro-sensing applications.

Nonlinear Analysis of Structures (1997)

Nonlinear Analysis of Structures (1997)
Author: Muthukrishnan Sathyamoorthy
Publisher: CRC Press
Total Pages: 640
Release: 2017-11-22
Genre: Mathematics
ISBN: 1351359827

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.