scholarly journals STRUCTURAL ANALYSIS OF SPACE TRUSS BY DISPLACEMENT METHOD AND FORCE METHOD

2000 ◽  
Vol 65 (534) ◽  
pp. 57-63 ◽  
Author(s):  
Shigetaka HANAI ◽  
Akira KAWASHIMA ◽  
Rintaro ISHIMARU ◽  
Hisashi TANAKA
Keyword(s):  
Structural Analysis ◽  
Displacement Method ◽  
Force Method ◽  
Space Truss

Three-dimensional structural analysis by the integrated force method

1996 ◽  
Vol 58 (5) ◽  
pp. 869-886 ◽  
Author(s):  
I. Kaljević ◽  
S.N. Patnaik ◽  
D.A. Hopkins
Keyword(s):  
Structural Analysis ◽  
Three Dimensional ◽  
Force Method ◽  
Integrated Force Method

scholarly journals A Matrix Formulation for the Moment Distribution Method Applied to Continuous Beams

2011 ◽  
Vol 2011 ◽  
pp. 1-9 ◽  
Author(s):  
Arlindo Pires Lopes ◽  
Adriana Alencar Santos ◽  
Rogério Coelho Lopes
Keyword(s):  
Structural Analysis ◽  
Algebraic Equations ◽  
Displacement Method ◽  
Matrix Formulation ◽  
Distribution Method ◽  
Continuous Beams ◽  
Moment Distribution ◽  
Moment Distribution Method ◽  
Carry Over ◽  
The Moment

The Moment Distribution Method is a quite powerful hand method of structural analysis, in which the solution is obtained iteratively without even formulating the equations for the unknowns. It was formulated by Professor Cross in an era where computer facilities were not available to solve frame problems that normally require the solution of simultaneous algebraic equations. Its relevance today, in the era of personal computers, is in its insight on how a structure reacts to applied loads by rotating its nodes and thus distributing the loads in the form of member-end moments. Such an insight is the foundation of the modern displacement method. This work has a main objective to present an exact solution for the Moment Distribution Method through a matrix formulation using only one equation. The initial moments at the ends of the members and the distribution and carry-over factors are calculated from the elementary procedures of structural analysis. Four continuous beams are investigated to illustrate the applicability and accuracy of the proposed formulation. The use of a matrix formulation yields excellent results when compared with those in the literature or with a commercial structural program.

Groups of Unknowns in Structural Analysis

1962 ◽  
Vol 66 (617) ◽  
pp. 322-323
Author(s):  
Fernando Venancio Filho
Keyword(s):  
Structural Analysis ◽  
Basic System ◽  
Displacement Method ◽  
Matrix Formulation

Using the Argyris matrix formulation a concise and definite justification for the correctness of the use of groups of unknowns in the analysis of redundant structures is given. It is shown also that to consider groups of unknowns is equivalent to changing the basic system. These two intimately related concepts are applied to the force as well as to the displacement method.

Damage Identification of Truss Structures Based on Force Method

2015 ◽  
Vol 7 (2) ◽  
pp. 229-244 ◽  
Author(s):  
Nam-Il Kim ◽  
Seunghye Lee ◽  
Namshik Ahn ◽  
Jaehong Lee
Keyword(s):  
Genetic Algorithm ◽  
Numerical Solutions ◽  
Damage Identification ◽  
Truss Structures ◽  
Computationally Efficient ◽  
Equilibrium Equations ◽  
Force Method ◽  
Space Truss ◽  
Reaction Forces ◽  
Micro Genetic Algorithm

AbstractAn computationally efficient damage identification technique for the planar and space truss structures is presented based on the force method and the micro genetic algorithm. For this purpose, the general equilibrium equations and the kinematic relations in which the reaction forces and the displacements at nodes are take into account, respectively, are formulated. The compatibility equations in terms of forces are explicitly presented using the singular value decomposition (SVD) technique. Then governing equations with unknown reaction forces and initial elongations are derived. Next, the micro genetic algorithm (MGA) is used to properly identify the site and extent of multiple damage cases in truss structures. In order to verify the accuracy and the superiority of the proposed damage detection technique, the numerical solutions are presented for the planar and space truss models. The numerical results indicate that the combination of the force method and the MGA can provide a reliable tool to accurately and efficiently identify the multiple damages of the truss structures.

Recent Developments in the Force Method of Structural Analysis

1992 ◽  
Vol 45 (9) ◽  
pp. 401-418 ◽  
Author(s):  
A. Kaveh
Keyword(s):  
Mixed Methods ◽  
Structural Analysis ◽  
Linear Analysis ◽  
Force Method ◽  
Recent Developments ◽  
Displacement Approach ◽  
And Storage ◽  
Algebraic Approaches ◽  
Combinatorial Methods ◽  
Made In

The development of the force method of structural analysis has been hindered by the difficulty of generating a suitable maximal set of independent self-equilibrating stress systems, known as statical or null basis. Recent developments to overcome this problem can be classified as topological, combinatorial, algebraic, mixed and integrated force methods. Combinatorial methods are efficient and provide insight to the problems involved, however, further research is needed before a unified formulation can be made. Algebraic methods are simple and general in nature, however, their automation requires considerable amount of operations and storage. The insight to the problems are not present in these methods. Mixed methods incorporate the efficiency of the existing combinatorial methods and generality of the algebraic approaches. In this paper, the progress made in the analysis of structures by means of the force method is reviewed, and directions required for further advances are specified. It is hoped that such advances will make the force method competitive to the displacement approach in fields such as non-linear analysis and optimization of structures. This will hopefully put the force method as an efficient counterpart to the displacement approach in computational mechanics.

scholarly journals Nonlinear structural analysis using integrated force method

Sadhana ◽  
2000 ◽  
Vol 25 (4) ◽  
pp. 353-365 ◽  
Author(s):  
N R B Krishnam Raju ◽  
J Nagabhushanam
Keyword(s):  
Structural Analysis ◽  
Force Method ◽  
Nonlinear Structural Analysis ◽  
Nonlinear Structural ◽  
Integrated Force Method

Initial Strains in the Matrix Force Method of Structural Analysis

1960 ◽  
Vol 64 (596) ◽  
pp. 493-495 ◽  
Author(s):  
J. H. Argyris ◽  
S. Kelsey
Keyword(s):  
Structural Analysis ◽  
Technical Note ◽  
Structural Elements ◽  
Force Method ◽  
Flexibility Matrix ◽  
The Matrix ◽  
Initial Strains

In a Technical Note in the June Journal (p. 354), Dr. A. L. M. Grzedzielski discusses some aspects of the Matrix Force Method of Structural Analysis and in particular has raised objections to the concept of initial strains and its use by the present writers as an artifice in the treatment of cut-outs and modifications in structures. Dr. Grzedzielski asserts that the idea of initial strains is not valid if the flexibility matrix of the unassembled structural elements is other than purely diagonal. Unfortunately this assertion is just not true.

Sign in / Sign up

Export Citation Format

Share Document