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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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Dynamic Instability of Pile-Supported Structures in Liquefiable Soils during Earthquakes

TL;DR: In this article, an experimental and analytical approach is taken to characterize the dynamic instability of piled foundations in liquefied soil, and the first natural frequency of a piled-structure vibrating in liquidable soil is obtained from centrifuge tests.
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An Analytical Equivalent Circuit Model for Optimization Design of a Broadband Piezoelectric Micromachined Ultrasonic Transducer With an Annular Diaphragm

TL;DR: The model successfully explains the phenomenon of multi-resonance peaks in the frequency response curve, sharing the same vibration mode and can be further generalized to be a guideline for the design and optimization of broadband PMUTs.
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Wave speeds of honeycomb sandwich structures: An experimental approach

TL;DR: In this article, the influence of different design parameters, such as core density, core material, and cell size on the wave speeds of honeycomb sandwich structures was experimentally analyzed.
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Out-of-plane behaviour of partially composite or sandwich beams by exact and Finite Element Methods

TL;DR: In this article, the authors theoretically and numerically investigated the out-of-plane vibrations of composite beams with interlayer slip or three-layer sandwich beams, and compared to the exact solution based on the resolution of a tenth-order differential equation.
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Experimental and analytical investigations of vibration frequencies for centre-loaded beams

TL;DR: In this paper, the vibration frequencies of centre-loaded center-loaded beams for a large range of mass ratios were predicted using eigenfunctions and Rayleigh's method, and the results of frequencies obtained through different means were compared and discussed.