Abstract

Abstract Thermal, optical, and acoustic signals are generated during laser welding by the many physical phenomena which govern the laser beam-material interactions involved in welding. The objective of this study is to analyze one potential source of these signals — oscillations of the molten weld pool. Weld pool oscillations are modeled as gravity-capillary waves in a partially penetrating, conduction mode weld pool. The weld pool is assumed to be stationary and cylindrical, containing inviscid, incompressible, irrotational liquid metal. Dynamic and kinematic boundary conditions are imposed at the free surface of the pool, with impenetrability providing a boundary condition at solid boundaries. Two different edge conditions are examined. First, the free surface is assumed to meet the boundary orthogonally. Second, the contact line is assumed to remain fixed during pool motion. Solution of the governing equations subject to the boundary conditions provides the natural frequencies of oscillation and mode shapes governing pool motion. Results from the analytic model agree well with preliminary experimental data. The dominant mode of oscillation can be characterized as a sloshing of material from the front to the back of the pool, occurring at approximately 700Hz for the conditions examined.

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