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Tangent stiffness matrix

About: Tangent stiffness matrix is a research topic. Over the lifetime, 1031 publications have been published within this topic receiving 21140 citations.


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TL;DR: In this paper, a coupling procedure based on the sequential iterative Dirichlet-Neumann coupling algorithm is presented, which utilizes the condensed tangent stiffness matrices at the soil-structure interface to ensure and accelerate convergence to compatibility in successive update of the boundary conditions.

25 citations

Journal ArticleDOI
TL;DR: In this article, the stiffness model of a limb is derived by applying Castigliano's second theorem to strain energy of the limb with a structural decomposition strategy, and the stiffness matrix of a parallel mechanism is established based on stiffness models of limbs and the static equilibrium equation of the moving platform.
Abstract: This paper presents a general method for analyzing stiffness of overconstrained parallel robotic mechanisms with Scara motion. In the method, the stiffness model of a limb is derived by applying Castigliano's second theorem to strain energy of the limb with a structural decomposition strategy, and the stiffness matrix of a parallel mechanism is established based on stiffness models of limbs and the static equilibrium equation of the moving platform. Comparisons show that the stiffness model obtained from the proposed method is very close to the counterpart obtained from finite element analysis (FEA). In addition, a new index is proposed to evaluate stiffness performance of a parallel mechanism in a given configuration based on strain energy under external unit forces and moments. With this index, the dimensions of a parallel mechanism can be optimized and the path of a given task can be planned to obtain high stiffness.

24 citations

Journal ArticleDOI
TL;DR: In this article, an exact formula for the tangent geometric stiffness of inclined cables under self-weight was derived, which is applicable to a wide range of parameter values, such as cable-stayed bridges, guyed towers and conductor cables connecting electrical substation equipment.
Abstract: An exact formula is derived for the tangent geometric stiffness of inclined cables under self-weight. Comparisons are made with the well-known approximate formula by Ernst. It is found that the accuracy of Ernst's formula deteriorates with increasing cable slackness and inclination. The error can be significant for certain configurations of the cable that are commonly used in such structures as cable-stayed bridges, guyed towers, electric transmission lines, and conductor cables connecting electrical substation equipment. An accurate and simple approximate formula is developed, which is applicable to a wide range of parameter values.

24 citations

Journal ArticleDOI
TL;DR: In this article, a three-dimensional computational model is presented for the simulation of progressive failure in laminated composites subjected to out-of-plane loading conditions, where solid-like shell elements are used to model the thin plies of the laminate.

24 citations

01 Jan 1991
TL;DR: In this paper, a computationally oriented formulation of the isothermal, rate-independent theory of non-associative elasto-plasticity is extended to describe coupled thermo-elasticplastic and thermodynamic properties of materials.
Abstract: Computationally oriented formulation of the isothermal, rate-independent theory of non-associative elasto-plasticity is extended in this paper to describe coupled thermo-elastic-plastic and thermo-elastic-visco-plastic behaviour of materials. This is done by additionally considering thermal strains, assumming all material properties to be temperature dependent and accounting for the mechanical coupling terms in the non-stationary heat conduction equation. The finite deformation effects are included in the analysis. The theory is employed for the analysis of thermo-mechanical response of ductile metals with damage effects modelled by a generalization of the so-called Gurson approach. This constitutive model is known to generate equations typical of non-associative plasticity and hence it can be consistently incorporated into the present more general considerations. The finite element assessment of combined thermal and damage effects on the axisymmetric necking process illustrates the paper. Numerical aspects such as a ‘tangent’ stiffness for rate-dependent thermo-plasticity and the algorithmic (or consistent) tangent stiffness matrix for non-associative plasticity are discussed as well.

24 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202319
202241
202128
202016
201920
201829