Distributive lattices with operators (DLO) are a natural generalization of the notion of Boolean algebras with operators. An operator in a bounded distributive lattice A is a function f : An → A which preserves ∧ (or ∨) in each coordinate. In the last few years these classes of algebras have been actively investigated since they appear as algebraic counterpart of many logics. Some important con...

While handling deformable linear objects (DLOs), such as hoses, wires or leaf springs, with an industrial robot at high speed, unintended and undesired oscillations that delay further operations may occur. This paper analyzes oscillations based on a simple model with one degree of freedom (DOF) and presents a method for active open-loop damping. Different ways to interpret an oscillating DLO as...

In this paper, a self-consistent boundary element method is introduced to predict overall properties of a cracked bimaterial plate. The boundary element (BE) formulation is developed based on Green’s function for displacement discontinuity of a bimaterial solid and potential variational principles. The self-consistent method is then introduced into the BE formulation to provide an effective mea...

The stress distribution and dislocation forces for screw dislocations near cavities and straight boundaries are examined, depending on the selected cut used to impose a displacement discontinuity and create a dislocation. The location of the equilibrium dislocation position is determined in each considered case. The slip-induced stress amplification in thin ligaments between a cavity and a stra...

A numerical method is presented for stability analysis of cable–bar structures. An optimization problem is formulated to find the minimum value of the incremental total potential energy that depends on the direction of the incremental displacements. The penalty method with slack variables is used for representing the discontinuity in member stiffness. The tangent stiffness matrix is shifted to ...

A study is made of the generation of SH-type wves at the free surface of a layered anlsotroplc elastic medium due to an impulsive stress discontinuity moving with uniform velocity along the interface of the layered medium. The exact solution for the displacement function is obtained by the Laplace and Fourier transforms combined with the modified Cagnlard method. The numerical results for an im...

The transition from the ordered commensurate phase to the incommensurate gaussian phase of the antiferroelectric asymmetric six-vertex model is investigated by keeping the temperature constant below the roughening point and varying the external fields (h, v). In the (h, v) plane, the phase boundary is approached along straight lines δv = kδh, where (δh, δv) measures the displacement from the ph...

Synopsis The yield-line method of analysis provides a powerful means of identifying the ultimate load carrying capacity of reinforced concrete slabs. Benefits of the yield-line method are that it will often identify additional reserves of strength when applied to the analysis of existing slabs, and to highly economic slabs when used in design. Traditionally a hand-based method, the yield-line m...