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Matrix Stiffness Method

2009
Matrix stiffness method (MSM) is a modern powerful method of analysis of engineering structures. Its effective and widespread application is associated with availability of modern computers and effective computer programs. The MSM allows performing detail analysis of any sophisticated 2D and 3D engineering structure and takes into account different ...
Igor A. Karnovsky, Olga Lebed
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Recovering Mesh Geometry from a Stiffness Matrix

Numerical Algorithms, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Andreas Stathopoulos, Shang-Hua Teng
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Element Stiffness Matrix Generator

Journal of the Structural Division, 1971
This paper presents the basic concepts required to construct a computer code capable of deriving element stiffness matrices. The computer program requires only the displacement functions, transformation matrices, and a few control cards as input.
Richard H. Gunderson, Ayhan Cetiner
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The Stiffness Matrix

1997
This introduction to stiffness matrices will show how to derive the appropriate matrix connecting ‘force’ to ‘displacement’ for (i) a bar under uniaxial stressing, (ii) a beam in bending and (iii) a shaft under torsion, using the work of previous chapters.
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Arterial Stiffness and Extracellular Matrix

2006
The growing prevalence and associated risk of arterial stiffness provide a major challenge to better understand the underlying causes and the resultant physiological impact of this condition. Structural components within the arterial wall, mainly collagen and elastin, are considered to be major determinants of arterial stiffness. Thus, quantitative and
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Matrix-Free Methods for Stiff Systems of ODE’s

SIAM Journal on Numerical Analysis, 1986
The popular backward differentiation methods for solving stiff systems of ordinary differential equations, being implicit, require the solution of a linear algebraic system at each time step. The coefficient matrix is closely related to the Jacobian matrix of the differential system, and large systems may require considerable storage for the Jacobian ...
Brown, Peter N., Hindmarsh, Alan C.
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Effect of matrix cracking on stiffness of composite laminates

Mechanics of Composite Materials and Structures, 1996
ABSTRACT Effects of matrix cracking on the sitiffness of composite laminates were investigated. Laminate stiffness reduction caused by matrix cracking was predicted by a finite element model, and the prediction was compared with some existing analytical models and available experimental data.
J. X. Tao, C. T. Sun
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The Matrix Stiffness Method-Part 2

1988
In a final presentation of the matrix stiffness method of structural analysis, a general technique applicable to all classes of structure is outlined. The technique uses coordinate transformation and it is first necessary to discuss the axes of reference used to define the structure and its actions.
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Piping Flexibility Analysis by Stiffness Matrix

Journal of Applied Mechanics, 1959
Abstract A method of analysis is formalized for the solution of thermal-expansion stress problems in piping systems. The method is particularly suited for a complex system involving many anchors, closed loops within loops and/or interconnecting branch lines but without intermediate partial constraints.
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The explicit inverse of the stiffness matrix

International Journal of Solids and Structures, 1992
This paper has for the first time presented the explicit inverse of the stiffness matrix of a linear elastic structure. It is based on the property that the inverse of a nonsingular matrix is equal to the adjoint of the matrix divided by the determinant of the matrix.
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