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...

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...

Neuro Mechanical Network (NMN) is a new concept of adaptronic character. The governing idea is to include geometry, topology, load carrying, energy transfer, actuating, sensing and control of a machine in one single mathematical state model, and thereby enabling a formulation of the design and configuration problem as an optimization problem. We have focused our attention on a type of NMNs cons...

In this paper, free vibrations of large repetitive regular planar and space trusses are considered. For this kind of structures the corresponding stiffness and mass matrices have tri-diagonal block and in the canonical form, ) , , ( T F B A B K  and ) , , ( 0 D 0 M G  , which simplifies their Eigen frequencies. Practical large space and planar trusses contains with repetitive units, known as ...

Practical optimum design of structures often involves parameters with uncertainties. There have been several ways to deal with such optimisation problems, and one of the approaches is an antioptimisation process. The task is to find the optimum solution of common design variables while simultaneously searching for the worst case scenario of those parameters with uncertainties. This paper propos...