Natural modes, coupled modes, and transients of vibratory systems
نویسندگان
چکیده
منابع مشابه
Causal Natural Modes , Retro - causal Natural Modes and Minimum Radiation Modes
In this talk, we discuss three kinds of modes that are crucial to the understandingof a time domain electromagnetic (EM) response. The first targeted mode is called “causal”natural mode. This mode and its corresponding “causal” natural frequency are widely used inthe analysis of the transient response of a radiating structure, for example, in the SingularityExpansion Method [1]....
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it has been proved that natural frequencies are stationary at the natural modes. also it has been shown that at the first mode it is a minimum and for systems with finite number of degrees of freedom the highest frequency is maximum (reference 1 and 2). beyond these statements nothing more can be said about the behavior of the natural frequencies without defining precisely the manner in which t...
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We test a simple technique based on breeding to separate fast and slow unstable modes in coupled systems with different time scales of evolution and variable amplitudes. The technique takes advantage of the earlier saturation of error growth rate of the fastest mode and of the lower value of the saturation amplitude of perturbation of either the fast or the slow modes. These properties of the c...
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In low-frequency seismic spectra the Coriolis force theoretically causes quasi-degenerate coupling of spheroidal and toroidal modes whose spherical harmonic degrees differ by unity and whose frequencies are close. It has been found that the coupling causes clearly observable effects on seismic spectra below 3.0 mHz. Many fundamental toroidal modes have a spheroidal component and vice versa. For...
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Numerical computation of Nonlinear Normal Modes (NNMs) for conservative vibratory systems is addressed, with the aim of deriving accurate reduced-order models up to large amplitudes. A numerical method is developed, based on the center manifold approach for NNMs, which uses an interpretation of the equations as a transport problem, coupled to a periodicity condition for ensuring manifold’s cont...
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ژورنال
عنوان ژورنال: The Journal of the Acoustical Society of America
سال: 1982
ISSN: 0001-4966
DOI: 10.1121/1.2019894