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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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Journal ArticleDOI
TL;DR: In this paper, a new technique for predicting structural instability points using the finite element method is presented, based on the estimation of the critical displacement pattern by writing an approximation of the tangent stiffness singularity condition at the instability point.

24 citations

Journal ArticleDOI
19 Jul 2017-Sensors
TL;DR: A finite model updating method that combines dynamic-static long-gauge strain responses and the first order modal macro-strain parameter (frequency) is established, wherein the local bending stiffness, density and boundary conditions of the structures are selected as the design variables.
Abstract: A finite model updating method that combines dynamic-static long-gauge strain responses is proposed for highway bridge static loading tests. For this method, the objective function consisting of static long-gauge stains and the first order modal macro-strain parameter (frequency) is established, wherein the local bending stiffness, density and boundary conditions of the structures are selected as the design variables. The relationship between the macro-strain and local element stiffness was studied first. It is revealed that the macro-strain is inversely proportional to the local stiffness covered by the long-gauge strain sensor. This corresponding relation is important for the modification of the local stiffness based on the macro-strain. The local and global parameters can be simultaneously updated. Then, a series of numerical simulation and experiments were conducted to verify the effectiveness of the proposed method. The results show that the static deformation, macro-strain and macro-strain modal can be predicted well by using the proposed updating model.

24 citations

Journal ArticleDOI
TL;DR: In this paper, the authors developed an analytical solution for elastic deformation of thin rectangular functionally graded (FG) plates with in-plane stiffness variation, which has important applications in various thin-walled structures.

24 citations

Journal ArticleDOI
TL;DR: In this article, an exact dynamic stiffness matrix is established for an elastically connected three-beam system, which is composed of three parallel beams of uniform properties with uniformly distributed-connecting springs among them.

24 citations

Journal ArticleDOI
TL;DR: In this paper, the authors presented a new methodology that is more straightforward and simpler than existing techniques for computing the tangent stiffness matrix of a multi-degree-of-freedom (dof) test specimen.
Abstract: Researchers have long recognized the importance and potential benefits of utilizing the tangent stiffness matrix of a test specimen in hybrid simulations employing implicit and mixed-integration schemes. However, the computation of the tangent stiffness matrix during testing has proved to be challenging, particularly for test specimens with more than one degree of freedom (dof). This paper presents a new methodology that is more straightforward and simpler than existing techniques for computing the tangent stiffness matrix of a multi-dof test specimen. The proposed method is combined with the operator-splitting method (OSM), and the capabilities, advantages and limitations of the new formulation are demonstrated through several examples. The accuracy, stability, and error propagation characteristics of the modified OSM are also studied theoretically as well as numerically. The research results show that the proposed algorithm provides results that are better than those produced via the regular OSM alone, especially for damped structures undergoing highly inelastic behavior during testing.

24 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202334
202270
202123
202022
201930
201842