FORMERLY-Math: Constrained form-finding through membrane equilibrium analysis in Mathematica

A Basic Introduction on Math-Link in Mathematica

Starting from the basic ideas of Mathematica I give a detailed description how to link external programs with Mathematica through proper MathLink commands. This article will be helpful for the beginners to start and write programs in Mathematica. I also describe in detail about the characterizations of local and global variables which are very essential for writing programs in Mathematica. We c...

Enzyme kinetics. Rapid-equilibrium applications of Mathematica.

FORM FINDING FOR RECTILINEAR ORTHOGONAL BUILDINGS THROUGH CHARGED SYSTEM SEARCH ALGORITHM

Preliminary layout design of buildings has a substantial effect on the ultimate design of structural components and accordingly influences the construction cost. Exploring structurally efficient forms and shapes during the conceptual design stage of a project can also facilitate the optimum integrated design of buildings. This paper presents an automated method of determining column layout desi...

A Non-parametric Form-Finding Method for Designing Membrane Structure

In this paper, we present a non-parametric form-finding method for designing the minimal surface, or the uniformly tensioned surface of membrane structures with arbitrary specified boundaries. The area minimization problems are formulated as distributed-parameter shape optimization problems, and solved numerically. The internal volume or the perimeter is added as the constraints according to th...

Constrained traffic equilibrium in routing

Use qij to denote the (i; j)-entry of the matrix Q (i; j = 1; 2). Then (Q) reads as (Q) = 0(1 + p 05)r 0 2 0(2 0 p 05)r + (1 + p 05) 2r + (1 0 p 05) 0(1 + p 05)r 0 2 (2) where r = (01+ p 05)q 11 0(2+ p 05)q 12 +2q 21 + (01+ p 05)q 22 : (3) Because any stabilizing controller can be obtained from the (2, 1)-and (2, 2)-entries of (2), we are interested in the set of r's of (3), that is, the ideal ...