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Closed form expressions for all force and displacement quantities are obtained in terms of the angular location of the edge of contact, which must be determined numerically.
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Secondly, Lamb waves are multi-modal, which means that interferences between individual modes complicate the allocation of energy and displacement related quantities to a specific mode of excitation.
The amplitudes of seismic signals on a planetary surface are discussed in the context of observable physical quantities – displacement, velocity and acceleration – in order to assess the number of events that a sensor with a given detection threshold may capture in a given period.
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The calculation of the derivatives of the most relevant quantities (displacements, stresses, strains) in optimum design of structures allows to estimate the structural response when changes in the design variables are introduced.
The potential for detecting, localizing and quantifying this damage using the reconstruction algorithm is investigated, by leveraging the proposed concept of control sensors, that are FBG sensors used for comparing reconstructed strains and/or displacements with measured quantities.
Equally important to measuring displacement is the quantity called mean first-passage time (MFPT), which is defined as the time needed to reach the final state by a statistical ensemble of network walkers [ 8].
Geometric measurements can be in the form of spatial position, dimension, quantity, and displacement that are typically used in site activities such as quantity takeoff, quality control, and structure safety monitoring.
Physical quantities like displacement or energy can thus be allocated more consistently to individual modes.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com