The exact element stiffness matrices of stochastically parametered beams

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...

THE MODEL UPDATING OF MASS, DAMPING AND STIFFNESS MATRICES

Effective Stiffness: Generalizing Effective Resistance Sampling to Finite Element Matrices

We define the notion of effective stiffness and show that it can used to build sparsifiers, algorithms that sparsify linear systems arising from finite-element discretizations of PDEs. In particular, we show that sampling O(n log n) elements according to probabilities derived from effective stiffnesses yields an high quality preconditioner that can be used to solve the linear system in a small ...

the model updating of mass, damping and stiffness matrices

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Exact Stiffness for Beams on Kerr-Type Foundation: The Virtual Force Approach

1 Department of Civil Engineering, Faculty of Engineering, Prince of Songkla University, Songkhla 90112, Thailand 2 Civil Engineering Program, School of Engineering, University of Phayao, Phayao 5600, Thailand 3Department of Civil Engineering, ERI, Gyeongsang National University, Jinju 660-701, Republic of Korea 4Department of Civil Engineering, Gangneung-Wonju National University, Gangneung 21...