A numerical method for estimating the nonlinear characterist ics of a coupling connecting two canti lever beams is presented in this paper. Nonlinearity representation of the coupling was assumed. The parametric values were determined by optimum matching the numerical solution of system response with experimental measurement. Pseudo mode shape was introduced to transform the governing motion eq...

15 Parametric Curves And Surfaces 15.1 Parametric Curves Designing Curves • We don’t want only polygons. • Curves are used for design. Users require a simple set of controls to allow them to edit and design curves easily. • Curves should have infinite resolution, so we can zoom in and still see a smooth curve. • We want to have a compact representation. Parametric functions are of the form x(t)...

Parametric modelling provides an efficient representation of general audio signals and is utilised in very low bit rate audio coding. It is based on the decomposition of an audio signal into components which are described by appropriate source models and represented by model parameters. Perception models are utilised in signal decomposition and model parameter coding. This paper gives a brief t...

This work presents an adaptive mesh generation strategy for parametric surfaces. The proposed strategy is controlled by curvatures and the error measured between the analytical and discrete curvatures guides the adaptive process. The analytical curvature is a mathematical representation that models the domain, whereas the discrete curvature is an approximation of that curvature and depends dire...

Reynolds’ theory of parametric polymorphism captures the invariance of polymorphically typed programs under change of data representation. Semantically, reflexive graph categories and fibrations are both known to give a categorical understanding of parametric polymorphism. This paper contributes further to this categorical perspective by showing the relevance of bifibrations. We develop a bifib...

Constraint databases provide a very expressive framework for spatiotemporal database applications. However, animating such databases is diicult because of the cost of constructing a graphical representation of a single snapshot of a constraint database. We present a novel approach that makes the eecient animation of constraint databases possible. The approach is based on a new construct: parame...

In this paper, we introduce and study a new implicit representation of parametric curves and parametric surfaces . We show how these representations which we will call the matrix implied, establish a bridge between geometry and linear algebra, thus opening the possibility of a more robust digital processing. The contribution of this approach is discussed and illustrated on important issues of g...

IFC (Industry Foundation Classes) is the commonly accepted data exchange standard for Building Information Models (BIM). However, the geometric representation in IFC is restricted to explicit, extrusion and CSG (Constructive Solid Geometry) approaches. Accordingly, the exchange of parametric geometry between parametric design applications used in the AEC (Architecture, Engineering and Construct...

This paper presents an approach to nding an approximate implicit equation and an approximate inversion map of a planar rational parametric curve or a rational parametric surface. High accuracy of the approximation is achieved with a relatively small number of low-degree curve segments or surface patches. By using monoid curves and surfaces, the method eliminates the undesirable singularities an...