outline a brief history on the development of thin plate and membrane theory, and then conclusions will be drawn to discern the best modeling medium for the dynamics governing a large, flexible space optic.
Plate theory - Wikipedia
The aim of plate theory is to calculate the deformation and stresses in a plate subjected to loads. Of the numerous plate theories that have been developed since the late 19th century, two are widely accepted and used in engineering.
Thin Plate Theory - an overview | ScienceDirect Topics
As a type of thin plane structures, thin plate theory based on the Kirchhoff hypothesis have been widely studied in practice, spanning from traditional structural engineering to recently developed micro-electro-mechanical systems, in which thin plate–shaped conductors are …
Kirchhoff–Love plate theory - Wikipedia
The Kirchhoff–Love theory of plates is a two-dimensional mathematical model that is used to determine the stresses and deformations in thin plates subjected to forces and moments. This theory is an extension of Euler-Bernoulli beam theory and was developed in 1888 by Love [1] using assumptions proposed by Kirchhoff.
In spite of the number of books on plates, there is no single book at the present time that is devoted to the various plate theories and methods of analysis covering static, dynamic, instability and large-deflection problems for very thin, thin, moderately thick and thick plates.
Classical Thin Plate Theory - an overview | ScienceDirect Topics
The classical thin plate theory (CPT) or Kirchhoff plate theory is usually used to carry out stability analysis of rectangular plates. CPT assumptions are satisfactory for computation of buckling load for truly thin plates, but they can lead to inaccuracy when the ratio of thickness-to-plane dimensions of the plate is relatively large.
Thin plates with large deflections. In this case, the membrane stresses generated by the deflection are significant compared to the bending stresses and the plate behaves nonlinearly.
How two-dimensional bending can extraordinarily stiffen thin …
2016年7月11日 · We develop a theory that describes the stiffness of curved thin sheets with simple equations in terms of the longitudinal and transversal curvatures. The theory predicts experimental results with...
In this chapter, we present the classical (Kirchhoff-Love) theory ofthin plates. A plate is a solid with one dimension -the thickness (h)- much smaller than the other two dimensions, and such that the mid-thickness surface is contained in. a plane.
Theory of thin plates - SpringerLink
In this chapter, we present the classical (Kirchhoff-Love) theory of thin plates. A plate is a solid with one dimension -the thickness (h)- much smaller than the other two dimensions, and such that the mid-thickness surface is contained in a plane.