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2 Structure and Environment

2 2010

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Stifness operator for boundary problems of structural analysis and several new variational formulations

Zolotov A. B., Sidorov V. N., Akimov P. A., Mozgaleva M. L.

Structure and Environment

2010

Vol. 2, no. 2

9-13

So-called "stiffness operator" for boundary problems of structural analysis is introduced in the distinctive paper. There is a direct analogy between this stiffness operator and corresponding stiffness matrix of the considering structure in terms of finite element method. Namely we can consider stiffness operator as a limiting (continual) generalization of stiffness matrix. The explicit formulation of stiffness operator is presented. Several new variational formulations are discussed as well.

About correct method of analytical solution of multipoint boundary problems of structural mechanics for systems of ordinary differential equations with piecewise constant coefficients

Akimov P. A., Sidorov V. N., Mozgaleva M. L.

Structure and Environment

2010

Vol. 2. no. 3

21-24

This paper is devoted to correct method of analytical solution of multipoint boundary problems of structural mechanics for systems of ordinary differential equations with piecewise constant coefficients. Its major peculiarities include uni-versality, computer-oriented algorithm involving theory of distributions, computational stability, optimal conditionality of resultant systems and partial Jordan decomposition of matrix of coefficients, eliminating necessity of calculation of root vectors.