one and two dimensional ultrasonic vibration tool

Study on Imitating Grinding of Two-Dimensional Ultrasonic Vibration Turning System

According to turning instead of grinding process requirements and traditional working principle of ultrasonic vibration turning, a new idea of imitating grinding of two-dimensional ultrasonic vibration turning is brought firstly, and the mechanism of two-dimens ional ultrasonic vibration turning is elaborated. Based on the MATLAB software, grinding trajectory simulation and honing trajectory si...

an investigation on the kinematics of tool-workepiece’s relative movement in one-directional ultrasonic-vibration assisted turning

the aim of present study is to investigate the kinematics of tool-workpiece’s relative movement in conventional and ultrasonic-vibration assisted turning (uat). the kinematic analysis of uat shows that the movement of cutting tool edge relative to the workpiece resulted from the cutting speed, feed speed and tool’s vibration affects the lateral machined surface of workepiece and leaves a repeat...

Chapter 14 Vibration and Diffusion in One – Dimensional Media

In this chapter, we study the solutions, both analytical and numerical, to the two most important equations of one-dimensional continuum dynamics. The heat equation models the diffusion of thermal energy in a body; here, we analyze the case of a one-dimensional bar. The wave equation describes vibrations and waves in continuous media, including sound waves, water waves, elastic waves, electroma...

One - dimensional versus two - dimensional dynamics Sebastian

Stability and vibration analyses of tapered columns resting on one or two-parameter elastic foundations

This paper presents a generalized numerical method to evaluate element stiffness matrices needed for the free vibration and stability analyses of non-prismatic columns resting on one- or two-parameter elastic foundations and subjected to variable axial load. For this purpose, power series approximation is used to solve the fourth–order differential equation of non-prismatic columns with v...

Mapping two-dimensional polar active fluids to two-dimensional soap and one-dimensional sandblasting

Active fluids and growing interfaces are two well-studied but very different non-equilibrium systems. Each exhibits non-equilibrium behaviour distinct from that of their equilibrium counterparts. Here we demonstrate a surprising connection between these two: the ordered phase of incompressible polar active fluids in two spatial dimensions without momentum conservation, and growing one-dimension...