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Formulas for natural frequency and mode shape

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The article was published on 1979-01-01 and is currently open access. It has received 2002 citations till now. The article focuses on the topics: Natural frequency & Normal mode.

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Timoshenko beam-column with generalized end conditions on elastic foundation : Dynamic-stiffness matrix and load vector

TL;DR: In this paper, the dynamic and stability analysis of a Timoshenko beam-column with semi-rigid connections on a two-parameter elastic foundation with generalized end conditions is presented.
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Compact hybrid electrohydraulic actuators using smart materials: A review

TL;DR: The development of compact hybrid electrohydraulic actuators driven by various smart materials has been widely reported in the literature in recent years as mentioned in this paper, and the basic operation of these hybrid actuators involves high-frequency bidirectional operation of an active material that is converted to unidirectional motion of a hydraulic fluid by a set of valves.
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Electrode-shaping for the excitation and detection of permitted arbitrary modes in arbitrary geometries in piezoelectric resonators

TL;DR: Through this piezoelectric electrodeshaping technique, 95% of the designs showed a reduction in insertion loss, and the average improvement in S21 for the electrode-shaped designs was 14.6 dB with a maximum improvement of 44.3 dB.
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Free vibration and buckling analysis of plates using B-spline wavelet on the interval Mindlin element

TL;DR: In this paper, a finite element method (FEM) of B-spline wavelet on the interval (BSWI) is used to solve the free vibration and buckling problems of plates based on Reissner-Mindlin theory.
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Spectral element modelling and analysis of a pipeline conveying internal unsteady fluid

TL;DR: In this paper, a spectral element model is developed for the uniform straight pipelines conveying internal unsteady fluid, where four coupled pipe-dynamics equations are derived first by using the Hamilton's principle and the principles of fluid mechanics.