Journal ArticleDOI
Large amplitude-free oscillations of beams and plates.
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This article is published in AIAA Journal.The article was published on 1965-10-01. It has received 99 citations till now. The article focuses on the topics: Boundary layer & Reynolds stress.read more
Citations
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Journal ArticleDOI
A higher order beam finite element for bending and vibration problems
Paul R. Heyliger,J. N. Reddy +1 more
TL;DR: In this paper, the finite element equations for a variationally consistent higher-order beam theory are presented for the static and dynamic behavior of rectangular beams, which correctly accounts for the stress-free conditions on the upper and lower surfaces of the beam while retaining the parabolic shear strain distribution.
Journal ArticleDOI
Bending, buckling and free vibration of laminated composite and sandwich beams: A critical review of literature
TL;DR: A critical review of literature on bending, buckling and free vibration analysis of shear deformable isotropic, laminated composite and sandwich beams based on equivalent single layer theories, layerwise theories, zig-zag theories and exact elasticity solution is presented in this paper.
Journal ArticleDOI
Finite element formulation for the large amplitude free vibrations of beams and orthotropic circular plates
TL;DR: In this paper, a finite element formulation for large amplitude free oscillations of beams and orthotropic circular plates is presented, which does not need the knowledge of longitudinal/inplane forces developed due to large displacements and thus avoids the use of corresponding geometric stiffness matrices.
Journal ArticleDOI
Galerkin finite element method for non-linear beam vibrations
GR Bhashyam,Gangan Prathap +1 more
TL;DR: In this article, a Galerkin finite element method is presented for studying non-linear vibrations of beams describable in terms of moderately large bending theory, and the exact mode shape and the frequency corresponding to the reference amplitude of vibration are determined by solving iteratively a series of eigenvalue problems until the required convergence is obtained.
Journal ArticleDOI
Piezo–beam systems subjected to weak electric field: experiments and modelling of non-linearities
U. von Wagner,Peter Hagedorn +1 more
TL;DR: In this article, a non-constant Young's modulus E c and piezo electric factor d 31 were derived for both the piezoelectric 31 and the 33-effect.
References
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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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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.
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Vibration of Circular Plates at Large Amplitudes
TL;DR: In this article, it was shown that for both simply supported and clamped circular plates the vibration can be expressed in terms of elliptic functions and a modified Galerkin procedure was used for solving the resulting equations.
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Non-linear vibrations of beams and plates
TL;DR: In this paper, free and forced response of beams and plates undergoing moderately large amplitude steady state oscillations is determined using the averaging method of Ritz using the Bigradient Matrix for the polynomials.
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Similarity laws for turbulent boundary layers with suction or injection
TL;DR: The concept of a law of the wall and a velocity defect law which are related to each other through a common velocity scale and a semilogarithmic velocity profile in the region where they overlap, can be applied successfully to turbulent boundary layers with suction or injection.