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Direct stiffness method
About: Direct stiffness method is a research topic. Over the lifetime, 2584 publications have been published within this topic receiving 53131 citations.
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27 citations
TL;DR: In this article, a three-dimensional atomistic finite element approach is presented, where two types of elements are established: chemical bond and van der Waals bond, and stiffness matrices are established based upon relations between bond deformations and restoration forces or moments.
27 citations
TL;DR: In this paper, a simplified transfer matrix technique is proposed to evaluate the state of stress at each cross section of prestressed concrete bridge decks during incremental launching, where the effect of bearing stiffness makes the construction phase analysis more complex.
27 citations
27 citations
TL;DR: In this paper, the effect of initial truncation in representing the global stiffness matrix on the global solution of a structural analysis has been investigated and an upper bound for this error can be found.
Abstract: Numerical error may destroy the significance of the results of a structural analysis, particularly for certain classes of structures. The initial truncation error originating from representing each value of the structural matrices to constant computer word length approximates the total numerical error in the solution for displacements in medium-sized problems. An upper bound for this error can be readily calculated, and is usually not too conservative when the global stiffness matrix is scaled before solution. When this error appears too large, only consistent higher precision representation and solution of the various structural matrices will ensure a more accurate solution. The varying accuracy of the displacements due to different loading conditions on the same structure is rigorously explained. The normal expression for the a posteriori error bound on the solution is unreliable as it omits the effect of initial truncation in representing the global stiffness matrix. Flexible areas within generally stiff structures and stiff areas within generally flexible structures can both lead to inaccurate solutions for displacements throughout the structure.
27 citations