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RISDid S. P. Timoshenko and P. Ehrenfest Overestimate the Importance of the FourthOrder Time Derivative in Their Beam Theory?
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this study, we investigate the importance of the fourthorder time derivative that appears in the equations derived by Jacques Antoine Charles Bresse in 1859, as well as in equations that were derived by Stephen Prokofievich ...
Additional Natural Frequency of the Beam Carrying a Spring-Mass System: Lost and Found
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: This study revisits the free vibration of a cantilever beam with a mass-spring system attached at the tip of the beam. We recover the natural frequencies that were reported in some special case, and establish that there ...
Buckling of a Clamped Free Double Walled Carbon Nanotube by the Bubnov Galerkin Method
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: This study deals with the BubnovGalerkin method applied to the buckling of clampedfree doublewalled carbon nanotubes (DWCNTs) subjected to a concentrated compressive load at the free end. It was found that at least four ...
Some Intriguing Results Pertaining to Functionally Graded Columns
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Some intriguing results are reported in conjunction with closed form solutions obtained for a clampedfree vibrating inhomogeneous column under an axial concentrated load using the semiinverse method. Fourth order polynomial ...
A Consistent Set of Nonlocal Bresse–Timoshenko Equations for Nanobeams With Surface Effects
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this study, we propose governing differential equations for beams, taking into account shear deformation, rotary inertia, locality, and surface stress effects. It is shown that the equation is both simpler and more ...
Application of Lamأ©'s Super Ellipsoids to Model Initial Imperfections
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this paper, we investigate initial imperfections of structures that are modeled as belonging to a super ellipse or super ellipsoid. This extends previous analysis of regular ellipsoidal sets. We determine minimum area ...
Design of Axially Graded Columns Under a Central Force
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: Structures made of functionally graded materials have attracted much interest recently. The idea is to create a material that fulfills a specified function in accordance to the identified purpose of structure's utilization. ...
Intricate Interrelation between Robustness and Probability in the Context of Structural Optimization
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this study, we deal with the problem of structural optimization under uncertainty. In previous studies, either of three philosophies were adopted: (a) probabilistic methodology, (b) fuzzysetsbased design, or (c) ...
Wave Propagation in Timoshenko–Ehrenfest Nanobeam: A Mixture Unified Gradient Theory
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: A sizedependent elasticity theory, founded on variationally consistent formulations, is developed to analyze the wave propagation in nanosized beams. The mixture unified gradient theory of elasticity, integrating the stress ...
Probabilistic and Interval Analyses Contrasted in Impact Buckling of a Clamped Column
Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this study we contrast two competing methodologies for the impact buckling of a column that is clamped at both ends. The initial imperfection is postulated to be coconfigurational with the fundamental mode shape of the ...