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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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Exact free vibration of multi-step Timoshenko beam system with several attachments

TL;DR: In this article, the effect of material properties, rotary inertia and shear deformation of the beam system for each span are included, where the end masses are elastically supported against rotation and translation at an offset point from the point of attachment and a sub-system having two degrees of freedom is located at the beam ends and at any of the intermediate stations.
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A note on transverse vibrations of continuous beams subject to an axial force and carrying concentrated masses

TL;DR: In this paper, the authors used polynomial co-ordinate functions to obtain an approximate solution to the title problem, which leads to adequate engineering accuracy and can be easily extended to the case of several intermediate supports.
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Modal Testing for Validation of Blade Models

TL;DR: In this article, a pre-test design and test technique for validating wind turbine blade structural models is discussed, and the importance of proper pre-testing and test techniques for wind turbine model validation is demonstrated.
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Full-field modal analysis during base motion excitation using high-speed 3D digital image correlation

TL;DR: In this article, a methodology for experimental modal analysis using high-speed 3D digital image correlation and base motion excitation tests is proposed, in which a cantilever beam was excited from its base with a random signal, using a clamped edge join.
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Influence of Prestress on the Dynamic Response of Ground Anchorages

TL;DR: In this paper, a lumped parameter numerical model was developed to simulate the response of anchorages to changes in prestress and impact load, and the head of the anchor has been shown to be the most influential component in determining response.