A quantum mechanical representation suitable for studying the time evolution of quantum densities in phase space is proposed and examined in detail. This representation on 2'2 (2) phase space is based on definitions of the operators P and Q in phase space that satisfy various correspondences for the Liouville equation in classical and quantum phase space, as well as quantum position and momentu...

Conceptual design is typically not well represented by traditional engineering mathematics. This work is concerned with acquiring (by protocol analysis) and representing the knowledge used in the conceptual stage of mechanism design. This is the first stage of design, and, along with formulating the problem, establishes a function structure and selects processes and geometries for components re...

This paper describes an experimental very high level programming system for computer controlled mechanical assembly. AUTOPASS (AuTomated Parts Assembly System). The AUTOPASS language is oriented towards objects and assembly operations, rather than motions of mechanical assembly machines. It is intended to enable the user to concentrate on the overall assembly sequence and to program with Englis...

We consider the Lax representation of the new two-component coupled integrable system recently discovered by the author. Connection of the hierarchy of infinitely many Lax pairs with each other is presented.

We describe a configuration space visualization program for mechanical design. Configuration space is a geometric representation of mechanical function that encodes Quantitative information, such as part motions, and qualitative information, such as system failure modes. The program helps designers elucidate the qualitative information, which appears as geometric properties of the configuration...

Understanding the behaviour of mechanical systems can be facilitated and improved by employing electro-mechanical analogies. These analogies enable the use of network analysis tools as well as purely analytical treatment of the mechanical system translated into an electric circuit. Recently, we developed a novel kind of sensor set-up based on two coupled cantilever beams with matched resonance ...

Bond graphs have established themselves as a reliable tool for modeling physical systems. Multi-bonds are a bondgraphic extension that provides a general approach to modeling all kinds of multi-dimensional processes in continuous physical systems. This paper presents a Modelica library for modeling multi-bond graphs and their application to three-dimensional mechanical systems. A set of bondgra...