Determination of generalized displacements in an orthotropic plate under the action of concentrated force based on the {1,0}-approximation

2021 ◽  
Vol 13 (1) ◽  
pp. 89-95
Author(s):  
N.S. Bondarenko
Keyword(s):  
Orthotropic Plate ◽  
Concentrated Force ◽  
Generalized Displacements

Theoretical Determination of Rigidity Properties of Orthogonally Stiffened Plates

1956 ◽  
Vol 23 (1) ◽  
pp. 15-20
Author(s):  
N. J. Huffington
Keyword(s):  
Elastic Constants ◽  
Orthotropic Plate ◽  
Constant Thickness ◽  
Stiffened Plates ◽  
Geometrical Configuration ◽  
Orthotropic Plates ◽  
Theoretical Determination

Abstract The analysis of bending and buckling of orthogonally stiffened plates may be simplified by conceptually replacing the plate-stiffener combination by an “equivalent” homogeneous orthotropic plate of constant thickness. This procedure requires the determination of the four elastic rigidity constants which occur in the theory of thin orthotropic plates. Methods are presented whereby these quantities may be determined analytically in terms of the elastic constants and geometrical configuration of the component parts of the structure.

The method of caustics for the determination of normal loads acting on surfaces of elastic bodies

1980 ◽  
Vol 15 (1) ◽  
pp. 37-41 ◽  
Author(s):  
P S Theocaris ◽  
N I Ioakimidis
Keyword(s):  
Three Dimensional ◽  
Contact Problems ◽  
Two Dimensional ◽  
Concentrated Force ◽  
Elastic Bodies ◽  
Plate And Shell ◽  
Elasticity Problems ◽  
Three Dimensional Elasticity ◽  
Quantities Of Interest

The optical method of caustics constitutes an efficient experimental technique for the determination of quantities of interest in elasticity problems. Up to now, this method has been applied only to two-dimensional elasticity problems (including plate and shell problems). In this paper, the method of caustics is extended to the case of three-dimensional elasticity problems. The particular problems of a concentrated force and a uniformly distributed loading acting normally on a half-space (on a circular region) are treated in detail. Experimentally obtained caustics for the first of these problems were seen to be in satisfactory agreement with the corresponding theoretical forms. The treatment of various, more complicated, three-dimensional elasticity problems, including contact problems, by the method of caustics is also possible.

Simplified analysis of wall-frame structures

1978 ◽  
Vol 5 (2) ◽  
pp. 262-273 ◽  
Author(s):  
O. Moselhi ◽  
P. Fazio ◽  
Z. Zielinski
Keyword(s):  
Orthotropic Plate ◽  
Rapid Determination ◽  
Frame Structures ◽  
Direct Integration ◽  
Lateral Loads ◽  
Actual Structure ◽  
Simplified Method ◽  
Internal Forces ◽  
Simplified Analysis

A simplified method is presented for the analysis of planar, uniformly perforated walls under the action of lateral loads. The method is based on replacing the perforated wall by an elastically equivalent orthotropic plate. The principle of minimum total complementary potential energy is then used to determine stresses and displacements in the equivalent plate. Internal forces in the actual structure are obtained by direct integration of these stresses. An example is worked out to illustrate the application of the method and its accuracy. Design curves are presented for the rapid determination of internal forces.

A RATIONAL METHOD FOR COMPUTATION OF CABLE STRUCTURES

2017 ◽  
Vol 4 (1) ◽  
Author(s):  
Thang Ba Phung ◽  
Lai Tuong Nguyen
Keyword(s):  
High Strength ◽  
Equation System ◽  
Force Balance ◽  
Concentrated Force ◽  
Additional Hypothesis ◽  
Cable Structure ◽  
Cable Structures ◽  
Distributed Forces ◽  
Flexible Cables

Cable structures are widely used in practical construction due to its advantages of light weight, high strength which allow to build large span structures with nice view. The classical theory cable formulated from force balance equation of single cable, that is nonlinear; therefore, to determine displacement, deformation and tension forces of the cable we need to provide cable dip or horizontal tension force and use iteration calculation. This paper presents a new method for computation of flexible cable subjected to different loading pattern including concentrated force, distributed forces, pretension force, temperature variation. By application of the Gaussian Extreme Principle method, which developed by Prof. Drs. Ha Huy Cuong, to formulate and solve nonlinear equation system of cable structures, which ensured forces balancing as well as continuity of displacements and deformations of cable structures. This method allows for simultaneous determination of displacement, deformation and tension forces of cable structure without any other additional hypothesis, which is different from present cable theory. Numerical examples with simple, flexible cables subjected to different loadings have indicated the simplicity, accuracy and stability of the proposed method.

Determination of the orthotropic plate parameters of stiffened plates and grillages in free vibration

1967 ◽  
Vol 17 (6) ◽  
pp. 422-438 ◽  
Author(s):  
K. T. Sundara Raja Iyengar ◽  
R. Narayana Iyengar
Keyword(s):  
Free Vibration ◽  
Orthotropic Plate ◽  
Stiffened Plates

Natural Frequency Determination of Long Span Floor Slabs

1972 ◽  
Vol 94 (2) ◽  
pp. 660-664 ◽  
Author(s):  
J. Chadha ◽  
D. L. Allen
Keyword(s):  
Rectangular Plate ◽  
Orthotropic Plate ◽  
Natural Frequencies ◽  
General Procedure ◽  
Beam Structure ◽  
Plate Structures ◽  
Long Span ◽  
Floor Slabs ◽  
Experimental Values

This paper presents a general procedure for calculating the natural frequencies of rectangular plate structures which have beam stiffeners in the interior and at the boundaries. The technique of analysis accounts for shear deflections and rotary inertia of the plate. The effect of torsional and flexural reactions of the supporting beams on the plate-beam structure has also been included. The natural frequencies are compared with experimental values and also with those obtained by orthotropic plate approximation and Rayleigh’s method.

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