Problems in Building and Manipulating Large Stiffness Matrices

THE MODEL UPDATING OF MASS, DAMPING AND STIFFNESS MATRICES

the model updating of mass, damping and stiffness matrices

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Diagonal Spatial Stiffness Matrices

In this work we study in detail the conditions under which the stiffness matrix of a spatial system can be transformed into block-diagonal and diagonal form. That is the existence of a coordinate frame in which the stiffness matrix takes on these simple forms. The consequences of a block-diagonal or diagonal stiffness matrix for the invariants of the system, principal screws, von Mises’ invaria...

A system for creating and manipulating generalized wordclass transition matrices from large labelled text-corpora

This paper deals with the training phase of a Markov-type linguistic model that is based on transition probabilities between pvirs and triplets of syntactic categories. To determine the o?timal level of detail for a set of syntactic classes we developed a systetn that uses a set-theoretical formalism to defiue such sets mid has some measm~s to comp~uce and c,ptimize them fildividually. In secti...

Stiffness Matrices for Axial and Bending Deformations of Non-Prismatic Beams with Linearly Varying Thickness

Siffness matrices for axial and bending deformations of a beam having a rectangular cross sectional area of constant width and linearly varying thickness are developed. A consistant load vector for a uniformly distributed lateral load is also calculated, using the principal of potential energy. The matrices are used to obtain numerical results for a variety of beams with non-uniform thickness t...