It is shown that there a close relationship between ideal extensions of rings and trusses, is, sets with semigroup operation distributing over ternary abelian heap operation. Specifically, truss can be associated to every element an extension ring projects down idempotent in the extending ring; weak equivalence yields isomorphism corresponding trusses. Furthermore, classes by integers are one-t...

The distributive laws of ring theory are fundamental equalities in algebra. However, recently the study Yang-Baxter equation, many algebraic structures with alternative “distributive” were defined. In an effort to these “left distributive” and interaction they entail on structures, Brzezi?ski introduced skew left trusses semi-trusses. particular class semi-trusses is very wide, since it contain...

The exact position analysis of a planar mechanism reduces to compute the roots of its characteristic polynomial. Obtaining this polynomial usually involves, as a first step, obtaining a system of equations derived from the independent kinematic loops of the mechanism. Although conceptually simple, the use of kinematic loops for deriving characteristic polynomials leads to complex variable elimi...

This paper describes an approach to incorporating domain knowledge into genetic algorithm search. We use genetic algorithms to attack system connguration design problems; speciically, the structural design and optimization of trusses. Since there exists a large amount of domain knowledge on this problem, we describe the incorporation of this knowledge for guiding genetic search. We outline the ...

Ni-Mn-Ga magnetic shape memory alloy (SMA) micro-trusses, suitable for high magnetic field induced strains and/or a large magnetocaloric effect, are created via a new additive manufacturing method combining (i) 3D-printing of ~400 mm struts with an ink containing a polymer binder and elemental Ni, Mn, and Ga powders, (ii) binder burn-out and metallic powder interdiffusion and homogenization to ...

In this paper, recent progress in graphic statics is combined with Williot displacement diagrams to create a graphical description of both statics and kinematics for two- and three-dimensional pin-jointed trusses. We begin with reciprocal form and force diagrams. The force diagram is dissected into its component cells which are then translated relative to each other. This defines a displacement...

This paper presents a new EEMD-MUSIC- (ensemble empirical mode decomposition-multiple signal classification-) based methodology to identify modal frequencies in structures ranging from free and ambient vibration signals produced by artificial and natural excitations and also considering several factors as nonstationary effects, close modal frequencies, and noisy environments, which are common s...