A Constrained Optimization Approach for Form-Finding of Tensegrity Structures and their Static-Load Deflection Properties

2011 ◽  
Author(s):  
M. Abdulkareem ◽  
M. Mahfouf ◽  
D. Theilliol
Keyword(s):  
Constrained Optimization ◽  
Static Load ◽  
Optimization Approach ◽  
Form Finding ◽  
Tensegrity Structures

A unifying framework for form-finding and topology-finding of tensegrity structures

2021 ◽  
Vol 247 ◽  
pp. 106486
Author(s):  
Yafeng Wang ◽  
Xian Xu ◽  
Yaozhi Luo
Keyword(s):  
Form Finding ◽  
Tensegrity Structures ◽  
And Topology

A Constrained Optimization Approach to Finite Element Mesh Smoothing

1991 ◽  
Author(s):  
V. N. Parthasarathy ◽  
Srinivas Kodiyalam
Keyword(s):  
Finite Element ◽  
Constrained Optimization ◽  
Finite Element Mesh ◽  
Optimization Approach ◽  
Element Mesh ◽  
Initial Mesh ◽  
Nodal Coordinates ◽  
Automatic Mesh ◽  
Mesh Generators

Abstract The quality of a finite element solution has been shown to be affected by the quality of the underlying mesh. A poor mesh may lead to unstable and lor inaccurate finite element approximations. Mesh quality is often characterized by the “smoothness” or “shape” of the elements (triangles in 2-D or tetrahedra in 3-D). Most automatic mesh generators produce an initial mesh where the aspect ratio of the elements are unacceptably high. In this paper, a new approach to produce acceptable quality meshes from an initial mesh is presented. Given an initial mesh (nodal coordinates and element connectivity), a “smooth” final mesh is obtained by solving a constrained optimization problem. The variables for the iterative optimization procedure are the nodal coordinates (excluding, the boundary nodes) of the finite element mesh, and appropriate bounds are imposed on these to prevent an unacceptable finite element mesh. Examples are given of the application of the above method for 2/3-D triangular meshes generated using a QUADTREE | OCTREE automatic mesh generators. Results indicate that the new method not only yields better quality elements when compared with the traditional Laplacian smoothing, but also guarantees a valid mesh unlike the Laplacian method.

scholarly journals A marching procedure for form-finding for tensegrity structures

2007 ◽  
Vol 2 (5) ◽  
pp. 857-882 ◽  
Author(s):  
Andrea Micheletti ◽  
William Williams
Keyword(s):  
Form Finding ◽  
Tensegrity Structures

scholarly journals A Rank-Constrained Optimization approach: Application to Factor Analysis

2014 ◽  
Vol 47 (3) ◽  
pp. 10373-10378 ◽  
Author(s):  
Ramón A. Delgado ◽  
Juan C. Agüero ◽  
Graham C. Goodwin
Keyword(s):  
Factor Analysis ◽  
Constrained Optimization ◽  
Optimization Approach
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