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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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Analysis of wave motion in one-dimensional structures through fast-Fourier-transform-based wavelet finite element method

TL;DR: In this article, a hybrid method that combines the B-spline wavelet on the interval (BSWI) finite element method and spectral analysis based on fast Fourier transform (FFT) to study wave propagation in one-dimensional (1D) structures is presented.
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Static, vibration and buckling analysis of axisymmetric circular plates using finite elements

TL;DR: In this article, the static, vibration, and buckling analysis of axisymmetric circular plates using the finite element method is discussed, and the stiffness matrix of a typical annular plate element is derived from the given displacement function and the appropriate constitutive relations.
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Optimization of aircraft structural components by using nature-inspired algorithms and multi-fidelity approximations

TL;DR: The main conclusions of the work are (i) the variable fidelity approach enabled the use of intensive computing heuristic optimization techniques; and (ii) this framework succeeded in exploring the design space, providing good initial designs for classical optimization techniques.
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Design of cantilever probes for Atomic Force Microscopy (AFM)

TL;DR: In this article, a cantilever beam used in an atomic force microscope is optimized with respect to two different objectives: the first goal is to maximize the first eigenfrequency while keeping the stiffness of the probe constant.
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New concepts for finite-element mass matrix formulations

TL;DR: In this article, an improved finite-element mass-matrix formulation for dynamic analysis is presented, which can be used for free vibration analysis and forced vibration results. But the improvements are based on modifications of the finite element massmatrix and are of high importance, since no additional computational effort is required, compared with the necessary effort for the standard, consistent mass-metrix formulation.