scholarly journals FINITE ELEMENT TECHNIQUE FOR THE ANALYSIS OF ELASTIC WAVES IN PRISMATIC BARS OF ARBITRARY CROSS SECTION

1977 ◽  
Vol 1977 (260) ◽  
pp. 33-42
Author(s):  
Hiroshi AKITA
Keyword(s):  
Finite Element ◽  
Cross Section ◽  
Elastic Waves ◽  
Arbitrary Cross Section ◽  
Finite Element Technique ◽  
Element Technique

Finite Element Technique for the Curved Beam Analysis: In-Plate Vibration of Curved Beam With Varying Cross Section

1991 ◽  
Author(s):  
Michihiko Tanaka ◽  
Motoki Kobayashi
Keyword(s):  
Finite Element ◽  
Free Vibration ◽  
Cross Section ◽  
Element Formulation ◽  
Curved Beam ◽  
Curved Beams ◽  
Finite Element Technique ◽  
Beam Analysis ◽  
Power Series Expansions ◽  
Element Technique

Abstract The purpose of this paper is to present details of an algorithm for performing the numerical analysis of in-plane free vibration problem of curved beam by using the finite element technique. Although the finite element techniques for the straight or flat structures such as rods, beams and plates are well established, the finite element formulation for curved beam has not yet been completely discussed because of analytical complexity of the beam. The analysis of curved beam is reduced to the coupled problems of the axial and the transverse components of forces, bending moments, displacements and slopes in the beam. Sabir and Ashwell have discussed the vibrations of a ring by using the shape functions (interpolation functions) based on simple strain functions[1]. The discrete element displacement method was applied to the vibrations of shallow curved beam by Dawe[2]. Suzuki et al have presented the power series expansions method for solving free vibration of curved beams[3]. Irie et al have used spline functions to analyse the in-plane vibration of the varying cross section beams supported at one end[4].

A Study of Wall Ironing by the Finite Element Technique

1978 ◽  
Vol 100 (1) ◽  
pp. 31-36 ◽  
Author(s):  
E. I. Odell
Keyword(s):  
Finite Element ◽  
Lower Bound ◽  
Cone Angle ◽  
Reduction Ratio ◽  
Operating Parameters ◽  
Finite Element Technique ◽  
Elastic Plastic ◽  
Maximum Reduction ◽  
Load Displacement ◽  
Element Technique

Wall ironing has been analyzed using an elastic-plastic finite element technique. The effects that the ironing ring semi-cone angle and friction have on the maximum reduction ratio are studied in detail. Stress contours are given for a typical set of operating parameters. Several ram load/displacement curves are provided and compared with upper and lower bound loads.

The Effect of Initial Forces on the Hydroelastic Vibration and Stability of Planar Curved Tubes

1974 ◽  
Vol 41 (2) ◽  
pp. 355-359 ◽  
Author(s):  
J. L. Hill ◽  
C. G. Davis
Keyword(s):  
Finite Element ◽  
Internal Pressure ◽  
Constant Curvature ◽  
Elastic Limit ◽  
Center Line ◽  
Finite Element Technique ◽  
Line Shapes ◽  
Circular Arcs ◽  
Out Of Plane ◽  
Element Technique

The effect of initial forces on the vibration and stability of curved, clamped, fluid conveying tubes is analyzed by the finite-element technique. The tubes are initially planar with general center-line shapes approximated by constant curvature arcs. The effect of internal pressure is included. Numerical results are presented with, and without, the effects of the initial in-plane forces, for circular arcs S, L, and spiral configurations. Neglecting initial forces results in out-of-plane buckling, while including these forces prevents buckling within the elastic limit, in all configurations studied.

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