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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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TL;DR: In this article, the authors present a variable bending stiffness model using the tangent stiffness method and its implementation in a classical finite-element formulation adapted for nonlinear analysis under arbitrary loading.
Abstract: Stranded conductors are widely used structural components. Owing to their construction in layers, their bending stiffness may vary according to their tension, curvature and deformation history. Recently, a sound and practical model of variable bending stiffness using the secant stiffness method became available. Based on the same physical assumptions, This work presents the development of a variable bending stiffness model using the tangent stiffness method and its implementation in a classical finite-element formulation adapted for nonlinear analysis under arbitrary loading. This extends its use to a general finite-element program. Comparisons with static and dynamic tests on short-span substation conductors show that the model computes a representative bending stiffness for such cases and yields adequate predictions of tractions generated at their ends, in both static and dynamic regimes.
29 citations
TL;DR: In this article, a contact stiffness matrix for finite element analysis is defined and applied to all types of finite elements and can easily model elastic foundations supporting beam, plate or solid elements.
29 citations
TL;DR: In this paper, a modified stiffness iteration to precisely compute a bifurcation point with multiple zero eigenvalues is presented, where two transformation matrices are employed to modify the stiffness matrix: one is a non-orthogonal transformation matrix amplifying the values of the entries in a certain row and a column of the stiffness matrices.
29 citations
TL;DR: In this article, a procedure for calculating the dynamic stiffness matrix of tubular shells with free edge boundary conditions is described, which forms the basis for the Continuous Element Method. But the method is used to formulate a thick axisymmetric shell element, which takes into account rotatory inertia, transverse shear deformation and non-axisymetric loadings.
29 citations
TL;DR: In this paper, a dynamic stiffness matrix is formed by using frequency dependent shape functions which are exact solutions of the governing differential equations, which eliminates spatial discretization error and is capable of predicting many natural modes with use of a small number of degrees of freedom.
29 citations