Modal properties

Scheuer, J. Green, W. M. J. DeRose, G. Yariv, A., InGaAsP annular Bragg lasers Theory, applications and modal properties, IEEE J. Sel. Top. Quantum Electron. 2005, 11,476 484... 

This would seem to mean that of any given quantity of water, say tt, a certain modal property is true of it, as expressed by ... 

View New Streams upon Creation r Use Modal Property Views 17 RecordTimeWhenNotesAreModified 17 Enable Cross Rairs On PFD 7 Save XML Fluid Package To User Defined File... 

The Simulation tab. Options page should be visible. Ensure that the Use Modal Property Views checkbox is imchecked. 

Suppose that in a particular case the N-realizer of an instance of P includes a microphysical state of affairs Cp that qualifies as a / -core. We can suppose that the possessor of P also has property Q, where Q is of a kind such that any possessor of P must have some property of that kind (as, for example, any possessor of a particular shape must have some mass or other). Let Cq be the Q-core that is also a part of the N-realizer of the / -instance and Q-instance. Now it seems that the P instance could have occurred without the instance of Q occurring, and so without Cq occurring. For example, if P is the property of having a certain shape and Q is the property of having a certain mass, then although the instance of P must be accompanied by an instance of some mass property, it does not seem necessary that it should have been accompanied by an instance of the particular mass property Q. (For example, if some of the matter inside a thing had leaked out, it might have had the same shape but a lesser mass.) And if the instances have different modal properties, so should their total (specific) realizers. We can achieve this as follows. 

Another response here in the general spirit of Davidson is to say that my pressing the button at f is my launching the rocket at f, even though the relationship is not one of strict identity. The former event constitutes the latter and constitution does not require possession of all the same modal properties. This is my preferred view of the relationship between token visual experience v and the relevant neural event. 

Quantitative results are provided in the following sections in terms of natural frequencies, modal properties, damping level and seismic response of the system. Detailed information on the test results is available in Mordant (2012). 

The modal properties given in Table E16.2 are valid for a uniform cantilever. Substituting these in the equations of Table 16.6.1 gives Table P16.9a for the modal static responses. 

The acquisition of high-quality vibration data is essential for a successful damage assessment afterwards. For mechanical engineering applications, exciter-driven forced vibration testing was and still is the most popular testing method for extracting modal properties. Many commercially available systems offer a complete package from sensor... 

A vibration monitoring system can be used for periodic or permanent condition assessment. Whatever the case may be, spontaneous changes of modal properties due to variable environmental conditions (e.g. temperature) have to be taken into account ... 

Operational modal analysis, or ambient modal identification, aims at identifying the modal properties (natural fi equency, damping ratio, mode shape, etc.) of an instrumented structure using only the (output) vibration response (acceleration, velocity, etc.). The input excitation to the structure is not measured but is assumed to be broadband random, often referred to as ambient. This allows vibration data to be collected when the structure is in its working or operating condition without much intervention, therefore implying significant economy over free-vibration (initially excited but no input afterwards) or forced-vibration tests (known input). The broadband random assumption essentially requires that the spectral characteristics (shape) of the measured response reflect the properties of the modes rather than those of the excitation, which is assumed to be constant in the vicinity of the natural frequencies. 

The mode shape is the only modal property whose leading order uncertainty is affected by the modal s/n ratio. Its posterior uncertainty is typically small. This implies that in reality the quality of the mode shape is likely to be governed by other sources such as sensor alignment error. 

Au SK, Zhang FL, To P (2012b) Field observations on modal properties of two tall buildings under strong wind. J Wind Eng Ind Aerodyn 101 12-23 Au SK, Zhang FL, Ni YC (2013) Bayesian operational modal analysis theory, computation, practice. Comput Struct 126 3-14... 

Modal fields 12-9 Propagation constants 12-10 Modal properties 12-11 Weakly guiding fiber... 

Table 12-2 (a) Modal properties of the step-proflie planar waveguide. 

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