scholarly journals Closure to “Discussion of ‘Bending of a Circular Beam Resting on an Elastic Foundation’” (1952, ASME J. Appl. Mech., 19, pp. 570–571)

1952 ◽  
Vol 19 (4) ◽  
pp. 571
Author(s):  
Enrico Volterra
Keyword(s):  
Elastic Foundation ◽  
Circular Beam

Bending of a Circular Beam Resting on an Elastic Foundation

1952 ◽  
Vol 19 (1) ◽  
pp. 1-4
Author(s):  
Enrico Volterra
Keyword(s):  
Explicit Form ◽  
Elastic Foundation ◽  
Initial Curvature ◽  
Elastic Foundations ◽  
Circular Beam

Abstract Saint Venant’s equations (1) for a circular beam, bent out of its plane of initial curvature, are applied to the study of the deflections of beams resting on elastic foundations and loaded by concentrated symmetric forces. The solution of the problem is given in explicit form, and tables for the deflections, angles of twist, bending and twisting moments are presented.

Circular Beam on Elastic Foundation

1979 ◽  
Vol 105 (5) ◽  
pp. 839-853
Author(s):  
Dimitrios E. Panayotounakos ◽  
Pericles S. Theocaris
Keyword(s):  
Elastic Foundation ◽  
Beam On Elastic Foundation ◽  
Circular Beam

The Dynamically Loaded Circular Beam on an Elastic Foundation

1980 ◽  
Vol 47 (1) ◽  
pp. 139-144 ◽  
Author(s):  
D. E. Panayotounakos ◽  
P. S. Theocaris
Keyword(s):  
Elastic Foundation ◽  
Discrete System ◽  
Natural Frequencies ◽  
Continuous System ◽  
Rotatory Inertia ◽  
Analytical Treatment ◽  
Linear Partial Differential Equations ◽  
Circular Beam ◽  
Solution Methodology

In this investigation an analytical treatment for the determination of the natural frequencies of a circular uniform beam on an elastic foundation, subjected to harmonic loads, is presented. This problem in the most general case of response is reduced to a system of six-coupled linear partial differential equations. The effects of rotatory inertia and transverse shear deformation are also included in the analysis. The problem is treated by considering the beam as a continuous system, as well as a discrete system. The aforementioned solution methodology is successfully demonstrated through several numerical examples.

Structural and Electrical Characterization of Shaped Beam Laser Recrystallized Polysilicon on Amorphous Substrates

1981 ◽  
Vol 4 ◽  
Author(s):  
T. J. Stultz ◽  
J. F. Gibbons
Keyword(s):  
Grain Size ◽  
Electrical Characterization ◽  
Grain Structure ◽  
Electrical Characteristics ◽  
Shaped Beam ◽  
Beam Laser ◽  
Cw Laser ◽  
Amorphous Substrates ◽  
Circular Beam

ABSTRACTStructural and electrical characterization of laser recrystallized LPCVD silicon films on amorphous substrates using a shaped cw laser beam have been performed. In comparing the results to data obtained using a circular beam, it was found that a significant increase in grain size can be achieved and that the surface morphology of the shaped beam recrystallized material was much smoother. It was also found that whereas circular beam recrystallized material has a random grain structure, shaped beam material is highly oriented with a <100> texture. Finally the electrical characteristics of the recrystallized film were very good when measured in directions parallel to the grain boundaries.

Buckling Behavior of Tire Breaker Structure

1983 ◽  
Vol 11 (1) ◽  
pp. 3-19
Author(s):  
T. Akasaka ◽  
S. Yamazaki ◽  
K. Asano
Keyword(s):  
Elastic Foundation ◽  
Elastic Moduli ◽  
Wave Length ◽  
Bending Moment ◽  
Experimental Results ◽  
Automobile Tire ◽  
Buckling Behavior ◽  
Post Buckling ◽  
Steel Cord ◽  
Interlaminar Shear

Abstract The buckled wave length and the critical in-plane bending moment of laminated long composite strips of cord-reinforced rubber sheets on an elastic foundation is analyzed by Galerkin's method, with consideration of interlaminar shear deformation. An approximate formula for the wave length is given in terms of cord angle, elastic moduli of the constituent rubber and steel cord, and several structural dimensions. The calculated wave length for a 165SR13 automobile tire with steel breakers (belts) was very close to experimental results. An additional study was then conducted on the post-buckling behavior of a laminated biased composite beam on an elastic foundation. This beam is subjected to axial compression. The calculated relationship between the buckled wave rise and the compressive membrane force also agreed well with experimental results.

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