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Analytical expressions are determined for the nonlinear resonant frequency (or natural frequency) of the fundamental lateral mode of a pile.
A comparison with the results of a numerical modal analysis using a finite element model revealed, however, that several higher order vertical modes were missing from the experimental results altogether, and some of the OMA methods missed the fundamental lateral mode.
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The equivalent circuit model of the fundamental lateral-extensional mode is analysed.
The study is concerned with two problems pertaining to (i) the fundamental mode of lateral vibration of beams and (ii) the fundamental mode of axisymmetric vibration of circular plates.
The role of the seismic soil pile structure interaction (SSPSI) is usually considered beneficial to the structural system under seismic loading since it lengthens the lateral fundamental period and leads to higher damping of the system in comparison with the fixed-base assumption.
Although our approach relaxes assumptions that the gene is the fundamental unit of lateral transfer, it suffers certain limitations of its own that must be considered when interpreting these results.
This paper discusses the fundamental issues in vehicle lateral motion control within Automated Highway Systems.
In this paper, after deriving the basic fundamental solutions of a lateral unit point force and of a unit single moment, the deflection and the rotation of the beam cross-section are given as integral equation forms of the governing second order differential equation system in the Laplace and the frequency domain.
Firstly, the fundamental uncoupled torsional-to-lateral frequency ratio is determined by using the maximum structural static deflection resulting from the gravity load acting horizontally.
Finally, a combination of the fundamental uncoupled torsional-to-lateral frequency ratio and the equivalent eccentricity is used to extend the simple formulae, which are limited to coupled natural frequencies of proportionate structural systems, to estimate the first two coupled natural frequencies of asymmetric wall frame buildings.
Seismic system behavior is controlled through lateral deflection and fundamental period constraints, which are evaluated using nonlinear pushover and eigenvalue analyses.
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CEO of Professional Science Editing for Scientists @ prosciediting.com