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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.read more
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Nonlinear Strain Measures, Shape Functions and Beam Elements for Dynamics of Flexible Beams
TL;DR: In this article, the authors examine several aspects of the development of an explicit geometrically nonlinear beam element, including linearization of the displacement field, the effect of a commonly adopted approximation for the nonlinear Lagrangian strain, and the use of different-order shape functions for discretization.
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Exact stiffness matrix of a nonuniform beam—II. Bending of a timoshenko beam
Z. Friedman,John B. Kosmatka +1 more
TL;DR: In this paper, the exact bending stiffness matrix is developed for an arbitrary non-uniform beam including shear deformation, based on Timoshenko's beam theory, which requires the evaluation of only three integrals.
Journal ArticleDOI
A general method of kineto-elastodynamic design of high speed mechanisms
Imdad Imam,George N. Sandor +1 more
TL;DR: In this article, a new method of kineto-elastodynamic design is developed and illustrated with examples, which is achieved by first performing the kinematic synthesis of the mechanism considering its links to be rigid and then proportioning the areas of cross-section of the links optimally to account for the kineto elastodynamic effects.
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Free vibrations of beams of bilinearly varying thickness
TL;DR: In this paper, the fundamental frequencies of vibration of the structural elements as determined by the methodologies (a) and (c) are in excellent agreement while rather considerable discrepancies are found when using the differential quadrature technique.
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Beam stiffness matrix based on the elasticity equations
TL;DR: In this article, a general beam stiffness matrix is derived from an elasticity solution of the beam and the influence of shear and torsion is considered using a 3×3 matrix of deformation coefficients.