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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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Isospectral Euler-Bernoulli Beams with Continuous Density and Rigidity Functions

TL;DR: In this article, seven different classes of inhomogeneous Euler-Bernoulli beams with continuous density and flexural rigidity functions are found that are analytically solvable and that are isospectral with a homogeneous beam in the clamped-clamped configuration.
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Mechanical quality factors of fused silica resonators

TL;DR: In this paper, the authors measured the room temperature resonant quality factors for a large set of resonant modes for each of several fused silica blocks and one fused cylinder, and the best results were obtained when the samples were suspended in a single loop of fine wire.
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Vibration-Based Damage Identification in Structures Exhibiting Axial and Torsional Response

TL;DR: In this paper, a method is derived to detect and localize linear damage in a structure using the measured modal vibration parameters, which is applicable when the vibration strain energy is stored in the axial or torsional modes, which differentiates it from previously derived strain energy-based methods.
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Hydrodynamic and hydroelastic analyses of a plate excited by the turbulent boundary layer

TL;DR: In this paper, a ship model towed in a towing tank is used to perform pressure and structural measurements at high Reynolds numbers, and the range of validity of some theoretical models for the cross-spectral density representation is analyzed by direct comparison with experimental data of wall-pressure fluctuations measured in streamwise and spanwise direction.
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A three-variable high order shear deformation theory for isogeometric free vibration, buckling and instability analysis of FG porous plates reinforced by graphene platelets

TL;DR: In this paper, a three-variable high-order shear deformation plate theory (THSDT) was proposed for free vibration, buckling and instability analysis of functionally graded porous (FGP) plates reinforced by graphene platelets (GPLs).