scholarly journals Generalized force method on the example of plane geometrically nonlinear problem

2017 ◽  
Vol 6 ◽  
pp. 115-121 ◽  
Author(s):  
V.A. Meleshko
Keyword(s):  
Nonlinear Problem ◽  
Geometrically Nonlinear ◽  
Force Method ◽  
Generalized Force

scholarly journals An Approximate Linear Analysis of Structures Utilizing Incremental Loading of Force Method

2020 ◽  
Vol 4 (6) ◽  
pp. 37-44
Author(s):  
Najmadeen Mohammed Saeed ◽  
Ahmed Aulla Manguri
Keyword(s):  
Simple Technique ◽  
Geometrical Property ◽  
Current Approach ◽  
Geometrically Nonlinear ◽  
Force Method ◽  
Internal Forces ◽  
Small Change ◽  
Nodal Displacements ◽  
Good Agreement ◽  
Incremental Loading

A relatively simple technique has been introduced in this paper. The approach is based on the Linear Force Method (FM) with discretion of the applied loads to the subsequence steps and updating coordinates in each iteration to have new geometrical property. The accuracy of the technique depends on the size of the discretion which depends on the number of iterations. A small change in the configuration could hugely affect the displacement and internal forces in geometrically nonlinear structures, that’s why the current approach is vital. The proposed technique is validated with other techniques of nonlinear analysis of the structures with a very good agreement in both terms of external nodal displacements and internal bar forces.

VIBRATION AND STABILITY OF GEOMETRICALLY NONLINEAR COLUMN SUBJECTED TO GENERALIZED LOAD WITH A FORCE DIRECTED TOWARD THE POSITIVE POLE

2008 ◽  
Vol 08 (01) ◽  
pp. 1-24 ◽  
Author(s):  
L. TOMSKI ◽  
S. UZNY
Keyword(s):  
Mathematical Model ◽  
Small Parameter ◽  
Nonlinear Problem ◽  
Free Vibrations ◽  
Parameter Method ◽  
Geometrically Nonlinear ◽  
Small Parameter Method ◽  
Circular Profile ◽  
Slender Column ◽  
Stability Results

Considered herein is the vibration and stability problems of a slender column subjected to generalized load with a force directed toward the positive pole. The load is developed by heads composed of circular profile elements. The geometrically nonlinear problem of stability and free vibrations is formulated on the basis of Hamilton's principle, and due to nonlinearity, the problem is solved by applying the small parameter method. Vibration and stability results show the influence of chosen parameters that characterize the considered column (including initial prestressing). The assumed mathematical model is validated by experimental results.

scholarly journals An Approximate Linear Analysis of Structures Utilizing Incremental Loading of Force Method

2020 ◽  
Vol 4 (6) ◽  
pp. 37-44
Author(s):  
Najmadeen Mohammed Saeed ◽  
Ahmed Aulla Manguri
Keyword(s):  
Simple Technique ◽  
Geometrical Property ◽  
Current Approach ◽  
Geometrically Nonlinear ◽  
Force Method ◽  
Internal Forces ◽  
Small Change ◽  
Nodal Displacements ◽  
Good Agreement ◽  
Incremental Loading

A relatively simple technique has been introduced in this paper. The approach is based on the Linear Force Method (FM) with discretion of the applied loads to the subsequence steps and updating coordinates in each iteration to have new geometrical property. The accuracy of the technique depends on the size of the discretion which depends on the number of iterations. A small change in the configuration could hugely affect the displacement and internal forces in geometrically nonlinear structures, that’s why the current approach is vital. The proposed technique is validated with other techniques of nonlinear analysis of the structures with a very good agreement in both terms of external nodal displacements and internal bar forces.

On the solvability of geometrically nonlinear problem of sandwich plate theory

2015 ◽  
Vol 9 ◽  
pp. 4095-4102 ◽  
Author(s):  
I. B. Badriev ◽  
V. V. Banderov ◽  
G. Z. Garipova ◽  
M. V. Makarov ◽  
R. R. Shagidullin
Keyword(s):  
Nonlinear Problem ◽  
Sandwich Plate ◽  
Plate Theory ◽  
Geometrically Nonlinear
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