A Lanczos-based method for structural dynamic reanalysis problems

1994 ◽  
Vol 37 (16) ◽  
pp. 2857-2883 ◽  
Author(s):  
Cheryl M. M. Carey ◽  
Gene H. Golub ◽  
Kincho H. Law
2004 ◽  
Vol 10 (4) ◽  
pp. 525-541 ◽  
Author(s):  
J. K. Liu ◽  
H. C. Chan

We investigate an effective matrix perturbation method for structural dynamic reanalysis of general damped gyroscopic systems. By using the complex eigensubspace condensation and the or thogonal decomposition procedures, two greatly reduced generalized eigenvalue equations are obtained. The lower-order perturbations of eigensolutions (i.e. complex eigenvalues and the corresponding left and right eigenvectors) are then determined by solving the two reduced eigenvalue problems. The higher-order perturbations of eigensolutions are obtained by executing a singular value decomposition procedure for a complex matrix. The proposed method is a universal perturbation method, for it is universally applicable to the reanalysis of general damped gyroscopic systems with all three cases of complex eigenvalues: distinct, repeated, and closely spaced eigenvalues. Numerical examples corresponding to the three different cases of eigenvalues are presented. The perturbed eigensolutions are computed using the present method and compared with the exact solutions.


2012 ◽  
Vol 443-444 ◽  
pp. 628-631 ◽  
Author(s):  
Jian Jun He ◽  
Jie Sheng Jiang

The paper presents a new improved method for structural dynamic reanalysis with large change in structure topology possessing added degrees of freedom (DOF). The method,which is based on twice reduced model of original and topological structures, combines independent mass orthogonality and Rayleigh-Ritz analysis. Two numerical examples were used to show that the presented method can provide efficient and high quality approximation result for eigenvalues reanalysis when large modifications of the structural topology are made.


2016 ◽  
Vol 13 (05) ◽  
pp. 01-14
Author(s):  
C. Srikarrao ◽  
K. Kumar ◽  
P.Pavan Kumar ◽  
C. Mukul ◽  
P. Vinay

Author(s):  
Julia Rishatovna Kuzhanbaeva ◽  
Rustam Taufihovich Kuzhanbaev ◽  
Maria S. Guseva

In order to prevent negative socio-economic trends, to predict the social consequences of decisions on the implementation of state policy in the development of single-industry territories, public authorities monitor the socio-economic situation in single-industry towns based on an assessment of a number of statistical indicators. Such a differentiated assessment of statistical parameters does not allow a comprehensive assessment of the level of development and competitiveness of a single-industry town by territory, which is of particular relevance in modern conditions of glocalization. Of particular scientific and practical interest is a comparative analysis of the level of development of single-industry towns on the basis of an integral indicator that takes into account aspects of various spheres of life of the population and allows an objective assessment of the competitive positions of single-industry territories, which is currently not used by state authorities for monitoring. The purpose of the work is to assess and justify the conditions and development trends of single-industry towns of the Samara region on the basis of calculating the integral indicator of competitiveness, taking into account the level of development of the economy, finance, employment, social security and demography, as well as the mono-profile level of territories. In this study, we used the methods of system analysis, the method of comparisons and analogies, the method of generalization, the methods of dialectic and statistical analysis, the method of expert estimates, the method of retrospective estimates and structural-dynamic analysis. The paper provides an overview of the single-industry towns of the regions of the Volga Federal District; the results of testing the methodology for assessing the competitiveness of single-industry towns of the Samara region on the basis of an integral indicator are presented and trends in its change in the period 2013–2017 are identified. The study involved four single-industry towns of the Samara region: Oktyabrsk, Pohvistnevo, Tolyatti, Chapaevsk. The calculations showed that For five years Oktyabrsk was an outsider in four of the six areas under study (economics, labor, social services, demography), which led to the lowest competitiveness index and allowed us to identify the competitiveness of a single-industry town as “below average”. In relatively equal socio-economic conditions, there were Pohvistnevo, Togliatti and Chapaevsk, the level of competitiveness of which is “above average”.


2020 ◽  
Vol 6 (6) ◽  
pp. 31-38
Author(s):  
Gennady A. BELOV ◽  

AIAA Journal ◽  
1998 ◽  
Vol 36 ◽  
pp. 1094-1099
Author(s):  
Amar T. Chouaki ◽  
Pierre Ladeveze ◽  
Laurent Proslier

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