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Theory of matrix structural analysis

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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.

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Dynamics of a Variable-Mass, Flexible-Body System

TL;DR: In this paper, a new formulation of the dynamics of a variable-mass, exible-body system is presented by extending Kane's equations for variable mass particles to e exible bodies characterized by load-dependent stiffness and assumed modes.
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Efficient finite element analysis by graph-theoretical force method

TL;DR: In this paper, an efficient method is developed for the formation of null bases of triangular plane stress and plane strain finite element models, corresponding to highly sparse and banded flexibility matrices.
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Bending vibrations of wedge beams with any number of point masses

TL;DR: In this paper, the Euler-Bernoulli equation of motion for a constrained single-tapered beam with constant width and linearly tapered depth was derived using the expansion theorem.
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Governing equations and finite element models for multiaxial piezoelectric beam sensors/actuators

Rong C. Shieh
- 01 Jun 1994 - 
TL;DR: Governing equations and finite element models for multiaxially active laminated piezoelectric beam sensor/ actuator elements capable of simultaneously sensing/actuating all four components (axial extension, biaxial bendings, tonional twisting) of beam deformation are presented and used in special sensor/actuator pair designs as well as finite element analysis for transient responses of adaptive frame structures partially composed of these active beam elements as mentioned in this paper.
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Modal analysis of constrained multibody systems undergoing rotational motion

TL;DR: In this article, the modal characteristics of constrained multibody systems undergoing rotational motion are investigated, where relative co-ordinates are employed to derive the equations of motion, which are generally non-linear in terms of the co-coordinates.