Design and Tessellation of B-Spline Developable Surfaces

1998 ◽  
Vol 120 (3) ◽  
pp. 453-461 ◽  
Author(s):  
T. Maekawa ◽  
J. Chalfant

Developable surfaces are widely used in various engineering applications. However, little attention has been paid to implementing developable surfaces from the onset of a design. The first half of the paper describes a user friendly method of designing developable surfaces in terms of a B-Spline representation whose two directrices lie on parallel planes. The second half of the paper investigates a new method for development and tessellation of such B-Spline developable surfaces, which is necessary for plate cutting and finite element analysis.

Author(s):  
Alden Yellowhorse ◽  
Larry L. Howell

Ensuring that deployable mechanisms are sufficiently rigid is a major challenge due to their large size relative to their mass. This paper examines three basic types of stiffener that can be applied to light, origami-inspired structures to manage their stiffness. These stiffeners are modeled analytically to enable prediction and optimization of their behavior. The results obtained from this analysis are compared to results from a finite-element analysis and experimental data. After verifying these models, the advantages and disadvantages of each stiffener type are considered. This comparison will facilitate stiffener selection for future engineering applications.


2010 ◽  
Vol 132 (6) ◽  
Author(s):  
P. B. Godbole ◽  
Supak Pore

A new method employing the fitting of a least squares plane to stress distribution obtained from a finite element analysis for evaluating categorized values is presented. The property of a least squares fit, i.e., the preservation of volume under stress distribution and the plane of consideration, is used in evaluating various numerical integrals. The procedure is demonstrated through application to a typical shell nozzle junction.


2014 ◽  
Vol 598 ◽  
pp. 194-197
Author(s):  
Hong Jun Li ◽  
Qiang Ding ◽  
Xun Huang

Stress linearization is used to define constant and linear through-thickness FEA (Finite Element Analysis) stress distributions that are used in place of membrane and membrane plus bending stress distributions in pressure vessel Design by Analysis. In this paper, stress linearization procedures are reviewed with reference to the ASME Boiler & Pressure Vessel Code Section VIII Division 2 and EN13445. The basis of the linearization procedure is stated and a new method of stress linearization considering selected stress tensors for linearization is proposed.


2009 ◽  
Vol 61 (1-2) ◽  
pp. 193-206 ◽  
Author(s):  
Peng Lan ◽  
Ahmed A. Shabana

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