Modeling of ultrasonic processes utilizing a generic software framework

P Bruns,J Wallaschek,J Twiefel

doi:10.1088/1757-899x/211/1/012014

Abstract

Modeling of ultrasonic processes is typically characterized by a high degree of complexity. Different domains and size scales must be regarded, so that it is rather difficult to build up a single detailed overall model. Developing partial models is a common approach to overcome this difficulty. In this paper a generic but simple software framework is presented which allows to coupe arbitrary partial models by slave modules with well-defined interfaces and a master module for coordination. Two examples are given to present the developed framework. The first one is the parameterization of a load model for ultrasonically-induced cavitation. The piezoelectric oscillator, its mounting, and the process load are described individually by partial models. These partial models then are coupled using the framework. The load model is composed of spring-damper-elements which are parameterized by experimental results. In the second example, the ideal mounting position for an oscillator utilized in ultrasonic assisted machining of stone is determined. Partial models for the ultrasonic oscillator, its mounting, the simplified contact process, and the workpiece’s material characteristics are presented. For both applications input and output variables are defined to meet the requirements of the framework’s interface.

Highlights

Assisted processes are in the focus of researchers since decades and numerous applications are already state of the art in industry
By dividing the respective overall model into partial models it is applicable for processes and systems of almost any complexity
The framework consists of a master module for coordination and any number of slave modules with well-defined interfaces permitting the integration of the partial models

Summary

Introduction

Assisted processes are in the focus of researchers since decades and numerous applications are already state of the art in industry. It consists of a master module and any number of generic slave modules (wrappers) permitting implementation of the respective partial models. The system is divided in partial models of the ultrasonic oscillator, the respective mounting, the process load, and the vibration behavior. The execution sequence for the partial models and wrappers respectively is determined here and corresponds to the sequence in Table 1 and Figure 6 (from left to right) Both the wrapper for calculating the vibration behavior and the wrapper with the simplified cavitation model are implemented into the framework’s inner iteration loop. The explicit nodes of the ultrasonic oscillator’s FE mesh are determined and a matrix with entries in terms of a defined stiffness at corresponding positions is created as output data. The corresponding measured eigenfrequency and deflection amplitude are defined as convergence criteria

Numerical Results

Ultrasonic Assisted Machining of Stone

Conclusion