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Your search keyword '"Natarajan, Krishnamurthy"' showing total 20 results
Start Over Author "Natarajan, Krishnamurthy" Publisher elsevier bv
20 results on '"Natarajan, Krishnamurthy"'

8. Finite element analysis of column base plates

Author

David Thambiratnam and Natarajan Krishnamurthy

Subjects
Engineering, Cantilever, business.industry, Mechanical Engineering, Base (geometry), Structural engineering, Column (database), Finite element method, Computer Science Applications, Salient, Modeling and Simulation, General Materials Science, business, Civil and Structural Engineering
Abstract

Column base plates have been analyzed and designed traditionally on the assumptions that the plate is rigid and that the plate thickness can be determined from the cantilever action of the plate projections beyond the column face. Recent investigations have attempted to investigate the actual behavior of column base plates and quantify the differences between the real and assumed behavior. This paper describes the salient features of the two-dimensional finite element analysis of certain base plates which had been tested in the laboratory, and presents the significant findings. The computer results confirm the observed behavior of the test specimens to a reasonable extent.

Published
1990
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19. Error estimates for conforming finite element solutions

Author

Natarajan Krishnamurthy and George E. Ramey

Subjects
Mathematical optimization, Basis (linear algebra), Mechanical Engineering, Monotonic function, Mixed finite element method, Finite element method, Computer Science Applications, Bounding overwatch, Modeling and Simulation, Applied mathematics, General Materials Science, Gravitational singularity, Eigenvalues and eigenvectors, Civil and Structural Engineering, Extended finite element method, Mathematics
Abstract

A method for determining realistic error estimates for conforming finite element solutions is presented. The method requires solution of the problem by at least two, and preferably three mesh schemes that yield monotonic solution covergence. This in turn will automatically yield one solution bound, upper or lower. The paper describes a simple and practical scheme for obtaining the other bound by utilizing the solutions from the multiple mesh schemes. These bounds bracket the exact solution within relatively narrow limits and provide the basis of the error estimate. The solution quantities considered are the system energy quantities; and for eigenvalue problems these correspond to the eigenvalues themselves. As in convergence proofs, it is expected that the displacement and stress quantities will follow the behavior of the energy quantities. The proposed bounding method is applicable to eigenvalue and static problems devoid of stress singularities, and considers only the discretization error of conforming finite element models. The validity of the proposed bounding method has not been proved mathematically; however, extensive numerical applications of the method indicate its workability in every case tested. Results of some applications are included in this article.

Published
1974
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20. Theoretical and numerical convergence rates for some conforming finite elements

Author

George E. Ramey and Natarajan Krishnamurthy

Subjects
Mathematical optimization, Discretization, Mechanical Engineering, Normal convergence, Order of accuracy, hp-FEM, Finite element method, Computer Science Applications, Rate of convergence, Modeling and Simulation, Convergence (routing), Applied mathematics, General Materials Science, Convergence tests, Civil and Structural Engineering, Mathematics
Abstract

One of the major requirements of an approximate solution method is to rapidly converge to the exact solution. This paper is concerned with the rapidity of solution convergence for many conforming finite element models. Convergence rates are determined by theoretical analyses and checked by numerical investigation. Solution error plots are made for each element and in most cases these plots indicate a numerical convergence rate which is in agreement with that predicted by theory. The investigation considers only discretization errors; and the solution quantities referred to are for the system energy quantities which correspond to the eigenvalues for eigenvalue problems. The convergence rates determined are applicable to eigenvalue and static problems devoid of stress singularities.

Published
1974
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