A Finite-Element Technique to Determine the Friction Factor and Heat Transfer for Laminar Flow in a Pipe with Irregular Cross Section

1978 ◽  
Vol 1 (4) ◽  
pp. 453-470
Author(s):  
S. Y. Chern ◽  
John C. Chato
Keyword(s):  
Heat Transfer ◽  
Finite Element ◽  
Laminar Flow ◽  
Friction Factor ◽  
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].

Sign in / Sign up

Export Citation Format

Share Document