An asymptotic analysis is carried out for the equations of free vibrations of a beam having varying curvature and cross-section. The effect of splitting the asymptotic limit for eigenvalues into two families is revealed and its connection with boundary conditions is discussed. The analysis of the properties of the asymptotic solution explains the phenomenon of transformation of mode shape with ...

12  Abstract— In the present paper, The normal mode analysis is used to study the deformation of a rotating generalized thermoelastic medium under the influence of gravity subjected to thermal loading in the context of dual-phase-lag thermoelastic model. The exact expressions for the temperature, displacement components, and stress components are given in the physical domain and illustrated gr...

A linear stability analysis was carried out for a dilute suspension of rigid spherical particles in cylindrical Couette flow. The perturbation equations for both the continuous fluid phase and the discontinuous particle phase were decomposed into normal modes resulting in an eigenvalue problem that was solved numerically. At a given radius ratio, the theoretical critical Taylor number at which ...

To avoid the false results of deterministic identification methods induced by uncertainties, a fuzzy nearness-based method is proposed for the damage identification of bridge. An improved index based on ratios of modal shape components is used as identification measurements. The knowledge base for damage identification is established through corresponding relationship between fuzzified measurem...

The large-amplitude vibrational behavior of a shallow spherical-cap shell is investigated theoretically using simple arguments. The results of this approximate analysis are expressed in the form of appealingly simple nondimensional quantities. It is shown that the frequency of the fundamental mode of such ashell falls by as much as 50% as the vibration amplitude is increased to approximately th...

The dynamic simulation of macromolecular systems with biologically relevant sizes and time scales is critical for understanding macromolecular function. In this context, normal mode analysis (NMA) approximates the complex dynamicalbehaviourofa macromoleculeas a simple setof harmonic oscillators vibrating around a given equilibrium conformation. This technique, originated from classical mechanic...

With the increased popularity of normal mode analyses in structural biology, it is important to carefully consider how to best utilize the results for gaining biological insights without over interpretation. The discussion in this article argues that for the purpose of identifying correlated motions in biomolecules, a case separate from concomitant conformational changes of structural motifs, i...

-In the previous paper, the use of matrix iteration to determine the natural frequencies of vibration of continuous beam system using the concept of wave propagation in a prismatic bar is reported. The natural frequencies of vibration obtained from the formulated model were compared with the values obtained from literature and those of the exact solution. An error of 28% and 30% was observed wh...

We calculate analytically low frequency quasi-normal modes of gravitational perturbations of AdS Schwarzschild black holes in d dimensions. We arrive at analytic expressions which are in agreement with their counterparts from linearized hydrodynamics in Sd−2×R, in accordance with the AdS/CFT correspondence. Our results are also in good agreement with results of numerical calculations. Research ...

Mode competition of a free-electron laser is modeled by the Ginzburg-Landau equation. The stability of a single-mode solution is analyzed, and connections are established with known instabilities of the GinzburgLandau equation. It is found that the principal mode with the largest gain is always stable and hence there is no Benjamin-Feir instability. However, the Eckhaus ~or phase! instability g...