It is shown that every orthogonal terrain, i.e., an orthogonal (rightangled) polyhedron based on a rectangle that meets every vertical line in a segment, has a grid unfolding: its surface may be unfolded to a single non-overlapping piece by cutting along grid edges defined by coordinate planes through every vertex.

In this paper, we study unfoldings of orthogonal polyhedra. More precisely, we deene two special classes of orthogonal polyhedra, orthostacks and orthotubes, and show how to generate unfoldings by cutting faces, such that the resulting surfaces can be attened into a single connected polygon.

This paper deals with the study of machinability of GFRP composite tubes of different fiber orientation angle vary from 30 to 90. Machining studies were carried out on an all geared lathe using three different cutting tools: namely Carbide (K-20), Cubic Boron Nitride (CBN) and Poly-Crystalline Diamond (PCD). Experiments were conducted based on the established Taguchi’s Design of Experiments (DO...

This paper introduces a dynamic cutting force model for turning of slender workpieces, as well as experimental results related to the frequency response of the workpiece in turning. The model is based on a flexible workpiece and rigid machine tool, and a workpiece displacement dependent cutting force. The model is described and studied theoretically as well as experimentally. The experimental s...

The condition of a cutting tool is an important factor in manufacturing processes. Tool wear has a strong influence on the cutting forces, resulting in a poor surface finish and impacting on the dimensional tolerance of the workpiece. Therefore, the use of a dynamometer during machining to measure cutting forces is a well-known approach but it has several limitations such as high cost, poor per...

ABSTRACT In this paper, the phenomenon of chatter vibration in metal cutting is investigated. For this purpose, a theoretical one-degree of freedom model of the vibrations generated in an orthogonal cutting process is developed. The dynamic cutting forces are strongly affected by the variations of the cutting process parameters, and the model is based on the mechanical theoretical prediction of...

The simulation of nanometric cutting of copper with diamond cutting tools, with the Molecular Dynamics method is considered. A 2D model of orthogonal nano-scale cutting is presented and the influence of the depth of cut and tool rake angle on chip morphology and cutting forces is investigated. For the analysis, three different depths of cut, namely 10Å, 15Å and 20 Å and four tool rake angles, n...

Determination of optimal conditions of machining parameters is important to reduce the production cost and achieve the desired surface quality. This paper investigates the influence of cutting parameters on surface roughness and natural frequency in turning of aluminum alloy AA2024. The experiments were performed at the lathe machine using two different cutting tools made of AISI 5140 and carbi...