Investigation of instability in ultrasonic welding under parametric excitation

Author:

He Yongqiang1ORCID,Zhao Lewei2ORCID

Affiliation:

1. Yiwu Industrial & Commercial College, Yiwu, Zhejiang, P.R. China

2. Department of Radiation Oncology, Beaumont Health System, Royal Oak, MI, USA

Abstract

This paper develops a time-varying model for battery tabs based on the parametric excitation of Euler-Bernoulli beams. The instability caused by combination resonance under a high-frequency longitudinal load is considered. A Galerkin procedure is used to discretize the time-dependent problem into the Mathieu equation. The critical axial load is obtained from the transition curve of combination resonance. The effectiveness of the stability analysis was verified by numerical simulations involving longitudinal and bending loads.

Funder

Wayne State University, USA. The first author was supported by the China Scholarship Council

Publisher

SAGE Publications

Subject

Electrical and Electronic Engineering,Education

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