An analysis method allowing investigations of load influences on ultrasonic transducer oscillations is developed and presented. The focus here is on transducers utilized in ultrasonic-assisted machining due to the high process loads occurring. These loads can affect the operational vibration by exciting bending or torsion modes. However, the explicit impact on the process has yet to be determined. Hereby, conclusions about each oscillation mode effecting the operational vibration separately would be desirable. To achieve this, the eigenmodes being excited in dependence of the load have to be determined. Though the question remains of how big the respective influence on the operational vibration is. In the contribution at hand both questions will be answered by means of a modal transformation-based analysis that is illustrated by an explicit example. It is shown that a defined modal force permits determining the excited modes and the explicit share of the applied load coupling into the particular mode, respectively. In addition, the qualitative impact of each eigenmode on the resulting vibration can be evaluated by means of the magnitude of the modal equation’s particular solution. The developed analysis is applied on process and mounting loads. Therefore, different load setups are investigated in dependence of the force direction and the application point, thus leading to the conclusion that the presented analysis method is versatile usable, trustable and efficient.
Funding statement: Funding: The work was supported by the German Research Foundation (DFG).
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