Large amplitude vibration of buckled beams and rectangular plates
TLDR
For the case of similar flows in the plane of symmetry of an inclined axisymmetric body with zero streamwise pressure gradient and insulated walls, the following conditions prevail: e\ = 1, e» = r(x), KI = 0, ft = 0 and dgr/d^ = 0.Abstract:
It is noted that Eqs. (22, 24, and 25) are essentially those obtained by Beckwith 1 except for the coefficient constants. Finally, for the case of similar flows in the plane of symmetry of an inclined axisymmetric body with zero streamwise pressure gradient and insulated walls, the following conditions prevail: e\ = 1, e» = r(x), KI = 0, ft = 0, and dgr/d^ = 0. In order to transform the resulting equations into a familiar form, we first differentiate Eq. (14) with respect to f *, which is defined as rf * = f. Then, with the aid of the following definitions:read more
Citations
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Journal ArticleDOI
Investigation of Natural Frequencies and Mode Shapes of Buckled Beams
TL;DR: In this article, the linear modes of vibration of buckled beams were investigated analytically and experimentally, assuming a static buckled shape corresponding to the nth buckling mode.
Journal ArticleDOI
Non-linear vibration of Euler-Bernoulli beams
TL;DR: In this paper, variational iteration (VIM) and parametrized perturbation (PPM) methods have been used to investigate non-linear vibration of Euler-Bernoulli beams subjected to the axial loads.
Journal ArticleDOI
On the Nonlinear Dynamics of a Buckled Beam Subjected to a Primary-Resonance Excitation
Samir A. Emam,Ali H. Nayfeh +1 more
TL;DR: In this article, the authors investigate the nonlinear response of a clamped-clamped buckled beam to a primary-resonance excitation of its first vibration mode and obtain a set of nonlinearly coupled ordinary-differential equations governing the timeevolution of the response.
Journal ArticleDOI
Nonlinear Responses of Buckled Beams to Subharmonic-Resonance Excitations
Samir A. Emam,Ali H. Nayfeh +1 more
TL;DR: In this paper, the authors used a multi-mode Galerkindiscretization to reduce the governing nonlinear partial-differential equations in space and time into a set of nonlinearly coupledordinary-differentials equations in time only.
Journal ArticleDOI
Nonlinear vibrations of a clamped rectangular plate with initial deflection and initial edge displacement— Part II: Experiment
N. Yamaki,K. Otomo,M. Chiba +2 more
TL;DR: Theoretical analyses for nonlinear vibrations of a clamped rectangular plate under a uniformly distributed periodic load, with the effect of both initial deflection and initial edge displacement taken into consideration, are presented in this paper.
References
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Journal ArticleDOI
The Effect of an Axial Force on the Vibration of Hinged Bars
TL;DR: In this paper, it was shown that the vibration of an extensible bar, carrying no transverse load and having the ends fixed at the supports, causes an axial tensile force with a period equal to the half-period of the vibration.
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Influence of Large Amplitudes on Flexural Vibrations of Elastic Plates
TL;DR: In this paper, approximate solutions for the nonlinear bending vibrations of thin plates are presented for the cases of rectangular and circular plates subjected to various boundary conditions, and the effects of large amplitudes on both the free and forced vibrations are clarified.
Journal ArticleDOI
Nonlinear vibration of beams and rectangular plates
TL;DR: In this paper, einfluss von Vorspannungen auf die freien und erzwungenen nichtlinearen Schwingungen von Balken and rechteckigen Platten wird mittels einer einfachen Erweiterung der Losungen fur Falle ohne VorsPannung untersucht.