Structural reanalysis for a modified structure

2008 ◽  
Vol 35 (9) ◽  
pp. 1018-1023 ◽  
Author(s):  
Eun-Taik Lee ◽  
Hee-Chang Eun
Keyword(s):  
Inverse Method ◽  
Degrees Of Freedom ◽  
Generalized Inverse ◽  
Design Parameters ◽  
Initial Structure ◽  
Structural Elements ◽  
Static Behavior ◽  
Compatibility Conditions ◽  
Structural Reanalysis ◽  
Generalized Inverse Method

Structural reanalysis aims to determine the variations in the displacement of a structure due to the addition or deletion of elements without solving the full degrees of freedom. The iterations change the design parameters at each step and utilize the factorization of the stiffness matrix of the initial design. This study develops a new reanalysis method to determine the additional forces that act on the initial structure and the displacements of the modified structure. It utilizes the compatibility conditions at the interfaces between the initial structure and the added or deleted members as static constraints, and applies the generalized inverse method to describe the static behavior of the constrained structure. The structural elements that are added may be statically stable substructures or floating members that possess rigid-body freedom. Examples are included to show the effectiveness of the proposed method.

scholarly journals Reanalysis of Modified Structures by Adding or Removing Substructures

2018 ◽  
Vol 2018 ◽  
pp. 1-9 ◽  
Author(s):  
Yong-Su Kim ◽  
Hee-Chang Eun
Keyword(s):  
Inverse Method ◽  
Generalized Inverse ◽  
Original Structure ◽  
Structural Elements ◽  
Equilibrium Equations ◽  
Compatibility Conditions ◽  
Design Variables ◽  
Constrained Equilibrium ◽  
Structural Reanalysis ◽  
Generalized Inverse Method

This study considers structural reanalysis owing to the modification of structural elements including (1) addition of substructures, (2) removal of substructures, and (3) changes in design variables. Coupling and decoupling reanalysis methods proposed in the study are performed by using the concept of compatibility conditions at interface nodes between the substructures or between the original structure and the substructures. Subsequently, a generalized inverse method to describe constrained responses is modified to obtain the reanalysis responses. In this study, constrained equilibrium equations are modified to consider a reanalysis of a structure with the addition and removal of statically stable or unstable substructures. The proposed reanalysis method is examined by using five examples of handling coupling and decoupling reanalysis of a truss structure.

Heavy Vehicles Pass-by Noise Beamforming using Generalized Inverse Method and an Optimized Array

2013 ◽  
Author(s):  
Paulo Alexandre Galarce Zavala ◽  
José Roberto de França Arruda ◽  
Fábio Gimenes Bueno ◽  
Gaetano Miranda ◽  
Waldir Mothio ◽  
...  
Keyword(s):  
Inverse Method ◽  
Generalized Inverse ◽  
Heavy Vehicles ◽  
Generalized Inverse Method

Optimization of controlled mechanism based on generalized inverse method

2006 ◽  
Vol 1 (3) ◽  
pp. 288-291
Author(s):  
Jin-tang Yang ◽  
Jian-yi Kong ◽  
He-gen Xiong ◽  
Guo-zhang Jiang ◽  
Gong-fa Li
Keyword(s):  
Inverse Method ◽  
Generalized Inverse ◽  
Generalized Inverse Method

scholarly journals Estimación de varianzas genéticas en maíz a partir de líneas S1 y S2

2016 ◽  
Vol 3 ◽  
pp. 9
Author(s):  
Félix V. Navarro ◽  
Wayne C. Youngquis ◽  
William Compton
Keyword(s):  
Genetic Variability ◽  
Inverse Method ◽  
Generalized Inverse ◽  
Selection Effect ◽  
Wide Sense ◽  
Family Selection ◽  
Additive Variance ◽  
Selection Cycle ◽  
The One ◽  
Generalized Inverse Method

The analysis of lines S-l and S-2 and the regression of the measurements of the S-2 on their corresponding S-l were used to estimate the existing genetic variability in a Nebraska Stiff Stalk Synthetic (NSS) corn population at two localities, Mead and Lincoln, Nebraska-USA. A significant genetic variability was found in NSS for grain yield, days to blooming, ear and plant height, grain humidity and lodging percentage. The S-2 lines showed more frequent interaction of genotypes x environment than their S-l. In the wide sense, the heritability for the yield calculated by the analysis of variance of S-2 lines was larger than the one based on the regression of the S-2 on S-l (60 and 42%, respectively). Eight models, originated from Cockerham (1983), were used to identify the existing types of genetic variabilities. The inverse matrix method was used to estimate the parameters of genetic variability when the used co-variances gave a non-singular square matrix. The generalized inverse method o Moore-Penrose was used when the models showed a rectangular matrix. Usually, the best model was the one which estimated the additive variance only. Often times, no consistent covariance estimates were obtained among additive and dominant homocygotic (D-1) effects. For it, we could not infer to what the S-l family selection effect could be on the behavior of the resulting line crosses. The expected genetic gain per selection cycle for yield of S-2 families was 11.4%.

On the static analysis of constrained structural systems

2004 ◽  
Vol 31 (6) ◽  
pp. 1119-1122 ◽  
Author(s):  
Hee-Chang Eun ◽  
Eun-Taik Lee ◽  
Heon-Soo Chung
Keyword(s):  
Structural Analysis ◽  
Quadratic Form ◽  
Degrees Of Freedom ◽  
Generalized Inverse ◽  
Linear Displacement ◽  
Structural Systems ◽  
Constraint Forces ◽  
Equilibrium Equations ◽  
Compatibility Conditions ◽  
Entire Structure

Complete structures might contain so many degrees of freedom that it would be infeasible to perform a structural analysis. The derivation of the equilibrium equations of an entire structure to utilize kinematical compatibility conditions at the interfaces of the substructures requires complicated intermediate processes or numerical schemes for determining multipliers. This study derives an explicit matrix form of the equilibrium equations of structural systems subjected to constraints like compatibility conditions or linear displacement relations. The equation is obtained by minimizing a quadratic form of the variation in unconstrained and constrained displacements with respect to all constrained displacements that satisfy the constraints. And the physical meaning of the constraint forces required to satisfy the constraints is investigated. The validity of the proposed method is illustrated by several applications.Key words: constraints, compatibility, equilibrium equation, generalized inverse.

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