scispace - formally typeset
Open AccessBook

Theory of matrix structural analysis

About
The article was published on 1985-01-01 and is currently open access. It has received 1710 citations till now. The article focuses on the topics: Design structure matrix & Direct stiffness method.

read more

Citations
More filters
Journal ArticleDOI

Simulation of Flexible-Link Manipulators With Inertial and Geometric Nonlinearities

TL;DR: In this article, a complete model incorporating all inertial terms that couple rigid-body and elastic motions is presented along with a rational scheme for classifying them and the issue of geometric nonlinearities is discussed.
Journal ArticleDOI

Influence of contact wire pre-sag on the dynamics of pantograph–railway catenary

TL;DR: In this article, a modified single-degree-of-freedom (SDOF) dynamic system with a time-varying stiffness was presented to include the pre-sag influence on the dynamic interaction of the pantograph and the railway catenary.
Journal ArticleDOI

Shape functions of three-dimensional Timoshenko beam element

TL;DR: In this paper, the shape functions of two-dimensional Timoshenko and three-dimensional Euler-Bernoulli (EB) beam elements were extended to a 3-dimensional EB element, where a change of sign is required in those entries of the third column of the shape function matrix which correspond to the twist vectors.
Journal ArticleDOI

Reproducing kernel element method Part II: Globally conforming Im/Cn hierarchies

TL;DR: This is the first interpolation hierarchical structure that has been constructed with both minimal degrees of freedom and higher order smoothness or continuity over multi-dimensional domain, and possesses the generalized Kronecker property.
Journal ArticleDOI

An improved two-node finite element for stability and natural frequencies of axial-loaded Timoshenko beams

TL;DR: In this article, the linear flexural stiffness, incremental stiffness, mass, and consistent force matrices for a simple two-node Timoshenko beam element are developed based upon Hamilton's principle, where interdependent cubic and quadratic polynomials are used for the transverse and rotational displacements, respectively.