Nonlinear bending of functionally graded carbon nanotube-reinforced composite plates in thermal environments

Postbuckling of nanotube-reinforced composite cylindrical shells in thermal environments, Part I: Axially-loaded shells

Der Einfluss von Vorspannungen auf die freien und erzwungenen nichtlinearen Schwingungen von Balken und rechteckigen Platten wird mittels einer einfachen Erweiterung der Losungen fur Falle ohne Vorspannung untersucht. Es wird eine einzige Koordinatenfunktion benutzt; es werden einfach aufgelegte und eingespannte Falle betrachtet; und die Diskussion wird auch auf den uberkritischen Bereich ausgedehnt.

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Nonlinear vibration of beams and rectangular plates

Nonlinear free and forced vibration analysis of thin circular functionally graded plates

Nonlocal nonlinear plate model for large amplitude vibration of magneto-electro-elastic nanoplates

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

Influence of Large Amplitudes on Flexural Vibrations of Elastic Plates

Buckling of truncated conical shells under axial compression

Upon examination of the existing experimental data in the literature, this equation is found to describe correctly the relation between the experimental maximum erosion rate and the incubation time which is denned as the intercept of the maximum slope of an erosion curve on the time axis. Pearson's experimental results show that, for a first approximation, the number of impacts for incubation is proportional to D~3, and the maximum erosion rate to D 4.8'9 This is in agreement with Eq. (6). Equation (6) also shows that the maximum erosion rate will be proportional to (v — v e)mi or vmz if the incubation time is proportional to (v — ve)pl or vpz, respectively, where the exponents mi, pi, ... have the relations nn = — pi + 1 for i = 1, 2. This appears to be a correct description of the experimental results presented in Figs. 2 and 3.10 Finally, the values of k for all of the experimental data examined can be obtained using Eq. (6). The results which are listed in the original report5 provide additional confidence on the simple analysis by showing a limited amount of scatter. In conclusion, the present analysis seems to describe satisfactorily the intermediate stage of an erosion process during which the erosion proceeds at the maximum rate. The analysis, however, appears not applicable to the early and the late stages in which the erosion is probably affected by the material inhomogeneity and the change of surface roughness. Thus, for these two stages, it-might also be necessary to take into account the microscopic properties of materials in addition to the macroscopic properties, on which this study is based.

Influence of prebuckling deformations on the buckling of circular cylindrical shells under external pressure.

Durch Anwendung des Verfahrens von Galerking auf die Donnellschen Grundgleichungen werden praktisch genaue Losungen fur das Nachbeulverhalten von Kreiszylinderschalen, die einem hydrostatischen Druck unterworfen sind, gewonnen. Uber detaillierte Rechnungen fur einen weiten Bereich von Schalengeometrien wird geklart, wie Stauchung, Verbiegung und Volumenanderung mit dem gegebenen Ausendruck zusammenhangen. Die Ergebnisse erweisen sich als in guter Ubereinstimmung mit den experimentell ermittelten.



Applying the Galerkin procedure to the Donnell basic equations, solutions of exact nature are obtained for the postbuckling behavior of circular cylindrical shells under hydrostatic pressure. Through detailed calculations, connections of the edge shortening, deflection and volume change with applied pressure are clarified for a wide range of shell geometries. The results here obtained are ascertained to be in good agreement with experimental results.

Postbuckling Behaviour of Circular Cylindrical Shells under Hydrostatic Pressure

Applying Galerkin procedure to the Donnell type basic equations, approximate solutions are obtained for the buckling of truncated conical shells subjected to torsion under four different boundary conditions. Through detailed calculations, the correlations of the buckling of conical shells with that of equivalent cylindrical shells are clarified, which facilitate the fairly accurate estimation of the critical load and wave number for conical shells with arbitrary geometrical configurations.



Durch Anwendung des Galerkinschen Verfahrens auf die Grundgleichungen des Donnell Typs wird das Stabilitatsproblem einer auf Torsion beanspruchten Kegelschale naherungsweise unter vier verschiedenen Randbedingungen gelost. Durch ausfuhrliche Rechnung werden die Korrelationen zwischen der Stabilitat von kegelformigen und aquivalenten zylindrischen Schalen geklart, die die Abschatzung der kritischen Belastung und der Wellenzahl fur eine Kegelschale mit beliebigen geometrischen Abmessungen erleichtern.

Noboru Yamaki

Papers

Influence of Large Amplitudes on Flexural Vibrations of Elastic Plates

Buckling of truncated conical shells under axial compression

Influence of prebuckling deformations on the buckling of circular cylindrical shells under external pressure.

Postbuckling Behaviour of Circular Cylindrical Shells under Hydrostatic Pressure

Buckling of Truncated Conical Shells under Torsion