The Effects of Thermal Loading on the Deformation of Shell Structures

Matrix Analysis of Shell Structures with Flexible Frames

Aeronautical Quarterly ◽

10.1017/s0001925900010787 ◽

1958 ◽

Vol 9 (4) ◽

pp. 361-394 ◽

Cited By ~ 2

Author(s):

J. S. Przemieniecki

Keyword(s):

Thermal Loading ◽

Arbitrary Cross Section ◽

Shell Structures ◽

Matrix Analysis ◽

Internal Load ◽

Flexibility Matrix ◽

The Matrix ◽

Simple Matrix ◽

Curved Panels ◽

And Diffusion

SummaryA simple matrix method is presented for the deflection and stress analysis of cylindrical shell structures of arbitrary cross section stiffened by flexible frames. The method is an extension to fuselage structures of the Matrix Force Method developed by Argyris, in which the internal load system in the structure consists of two parts:—(a) synthetic load distribution, represented by the matrix b0, satisfying the external and internal equations of equilibrium, and(b)self-equilibrating load systems, represented by the matrix b1, which are introduced to satisfy compatibility conditions. The magnitudes of these self-equilibrating load systems are determined from the generalised compatibility equations formulated using the flexibility matrix f for the un-assembled elements of the structure. The self-equilibrating systems are non-orthogonal, but are arranged in such a way that the mixing between one system and another is kept to a minimum and, consequently, the resulting compatibility equations are well-conditioned. The three basic matrices, b0, b1;and f, are compiled using only very simple formulae. The matrices b0and b1depend on the geometry of the structure, while the flexibility matrix f is a function of geometry and elastic properties. The present analysis is applied to cut-out problems in fuselage structures. It can also be used for problems involving thermal loading and diffusion of loads in curved panels stiffened by flexible frames.

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Interlaminar Stress Analysis of Shell Structures with Piezoelectric Patch Including Thermal Loading

AIAA Journal ◽

10.2514/2.1596 ◽

2002 ◽

Vol 40 (12) ◽

pp. 2517-2525 ◽

Cited By ~ 39

Author(s):

Heung Soo Kim ◽

Xu Zhou ◽

Aditi Chattopadhyay

Keyword(s):

Stress Analysis ◽

Thermal Loading ◽

Shell Structures ◽

Interlaminar Stress ◽

Piezoelectric Patch

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Optimization of thin shell structures subjected to thermal loading

STRUCTURAL ENGINEERING AND MECHANICS ◽

10.12989/sem.1999.7.4.401 ◽

1999 ◽

Vol 7 (4) ◽

pp. 401-412 ◽

Cited By ~ 7

Author(s):

Qing Li ◽

Grant P. Steven ◽

O.M. Querin ◽

Y.M. Xie

Keyword(s):

Thin Shell ◽

Thermal Loading ◽

Shell Structures

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The Use of Shakedown Concepts in the Development of Design Rules for Shell Structures Subjected to Severe Cyclic Thermal Loading

Applied Stress Analysis ◽

10.1007/978-94-009-0779-9_27 ◽

1990 ◽

pp. 275-284

Author(s):

K. F. Carter ◽

A. C. F. Cocks ◽

A. R. S. Ponter ◽

R. J. M. Veness

Keyword(s):

Thermal Loading ◽

Shell Structures ◽

Design Rules ◽

Cyclic Thermal Loading

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The Effects of Thermal Loading on Masonry Structures

Key Engineering Materials ◽

10.4028/www.scientific.net/kem.517.689 ◽

2012 ◽

Vol 517 ◽

pp. 689-694 ◽

Cited By ~ 3

Author(s):

Mitchell Gohnert

Keyword(s):

Thermal Loading ◽

Low Cost ◽

Shell Structures ◽

Masonry Structures ◽

Curved Structures ◽

Compressive Stresses ◽

Absolute Requirement ◽

Low Cost Housing ◽

Pure Compression ◽

External Forces

Thin shell masonry structures are ideal for low-cost housing. Curved structures are ideally suited to resist external forces and are the most efficient structures. In shell structures, the forces are primarily in-plane, referred to as membrane forces. Shells, dominated by compressive stresses, are an absolute requirement in masonry structures, to minimize cracking. However, shell structures which are designed for pure compression still exhibit cracking on the external surface. Cracked shells are unsightly and a precursor to durability problems. For this reason, several studies have been undertaken to determine the cause of cracking in shells. This study is an investigation into the effects of thermal loading. The research includes the mapping of thermal loads by experimentation, an assessment of the effects of thermal loading and possible solutions to prevent cracking in the shell.

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