Brownian particles drifting through a periodically structured force landscape can become entrained by the landscape’s symmetries. What direction a particular particle takes can depend strongly on subtle variations in its physical properties. Consequently, a homogeneously structured force field can sort a mixture of particles into spatially separated fractions, much as an optical prism refracts ...

In this paper we analyse the discrete maximum principle (DMP) for a stationary diffusion-reaction problem solved by means of prismatic finite elements. We derive geometric conditions on the shape parameters of the prismatic partitions which guarantee validity of the DMP. The presented numerical tests show the sharpness of the obtained conditions.

This paper investigates both experimentally and theoretically the free rocking of a prismatic block supported by a stationary , horizontal foundation: the block is tilted, almost to the point of overturning, and released from this position. It is shown that the standard mathematical model for this problem is often inaccurate. A critical review of the implicit assumptions behind the standard mod...

A wide range of numerical integration options are available in OpenSees to represent distributed plasticity or non-prismatic section details in force-based beam-column elements, i.e., across the entire element domain [0, L]. For the Tcl interpreter of OpenSees, there is a specific input format for each integration option that follows a common input format for the element tag, nodes, and transfo...

Methods from algebra and algebraic geometry have been used in various ways to study linkages in kinematics. These methods have failed so far for the study of linkages with helical joints (joints with screw motion), because of the presence of some non-algebraic relations. In this article, we explore a delicate reduction of some analytic equations in kinematics to algebraic questions via a theore...

This paper is about the researches conducted in the fields of development of prismatic stationary concentrators of solar energy and design of photovoltaic modules on their base. The developed concentrators and modules can be used with the silicon solar cells. The modules can be installed stationary without tracking systems. This paper shows the results of researching and development of the two ...

A new algorithm for simulation of non-isothermal flow in a twin-screw extruder is introduced. In the new algorithm, the finite element mesh of tetrahedral elements is created in the complete barrel including the space occupied by the screws. By partitioning the tetrahedral elements which are intersected by the screw surfaces into two tetrahedral, pyramidal or prismatic finite elements, the new ...

As the construction industry, especially steel construction, contributes to a large portion of global greenhouse gas emissions, sustainable structural design has become necessity achieve world vision reaching net zero emissions by 2050. portal frames are most used system for single-story buildings, main objective this study is determine optimal frame configuration using prismatic and/or non-pri...

Non-prismatic beams have received great attention from engineers due to their capability in optimizing the strength and weight of the structure. In recent years, many researchers have worked on engineering problems related to static and dynamic analysis of either Euler–Bernoulli [1–3] or Timoshenko [4,5] beams. For short thick beams and rotating machineries, the Timoshenko beam theory presents ...