Topic
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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15 Oct 2008
TL;DR: The formula of general stiffness model at tool tip is derived from virtual-work principle and point transformation matrix method, which indicates the transformation relationship of elastic displacement on both ends of flexible axes as well as the transformed relationship of force.
Abstract: In this paper, a new method for computing general stiffness model at tool tip for multi-axis machine tool is presented. The formula of general stiffness model at tool tip is derived from virtual-work principle and point transformation matrix method. Point transformation matrix method indicates the transformation relationship of elastic displacement on both ends of flexible axes as well as the transformation relationship of force. By multiplying the point transformation matrix, the final stiffness matrix at tool tip will be obtained efficiently. In this modeling method, the final stiffness matrix is composed of local compliance matrixes according to their contribution to the final stiffness matrix.
9 citations
TL;DR: In this article, a power law model was used to predict the resilient response of unbound base-course material and an approximate value of resilient modulus for any desired stress path and initial stress condition.
Abstract: Repeated-load triaxial tests were conducted on crushed granitic base-course material to study the resilient response under different stress paths and compaction states. It has been established that the resilient response of this prestrained unbound granular material is best defined in terms of tangent stiffness (Et) and vertical stress (σv). The data also revealed the existence of a threshold value of tangent stiffness that is essentially dependent on initial confining stress for a given compaction state. When the tangent modulus exceeds this threshold value, a unique relationship between tangent stiffness and vertical stress exists for mobilized shear resistance ratios less than 0.4. This Et–σv relationship is independent of stress path. A simple power law model can be used to predict the resilient response of unbound base-course material and an approximate value of resilient modulus for any desired stress path and initial stress condition. The use of the tangent stiffness – vertical stress model for pav...
9 citations
14 Sep 2015
TL;DR: This work outlines a method for computing the tangent cone of a space curve at any of its points without using a standard basis based on the theory of regular chains and Puiseux series expansions.
Abstract: We outline a method for computing the tangent cone of a space curve at any of its points. We rely on the theory of regular chains and Puiseux series expansions. Our approach is novel in that it explicitly constructs the tangent cone at arbitrary and possibly irrational points without using a standard basis.
9 citations
9 citations
TL;DR: In this paper, a non-iterative efficient computational scheme was proposed to trace the nonlinear finite displacement behavior of space frames, using the tangent stiffness equation of linearized fininte displacement of a thin-walled elastic straight beam element.
Abstract: The purpose of this study is to establish a non-iterative efficient computational scheme to trace the nonlinear finite displacement behaviour of space frames, using the tangent stiffness equation of linearized fininte displacement of a thin-walled elastic straight beam element. Direct solution of the tangent stiffness equation is used, imposing adequately small increments. Local coordinates are updated at each incremental step, utilizing a vector multiplication scheme. Numerical results for a wide variety of spatial structures are given, demonstrating the versatility of the present scheme.
9 citations