There are currently two main applications for multi-laser heating in laser machining: (1) single-trajectory multi-laser heating and (2) multi-trajectory multi-laser heating. Multiple-Trajectory Simultaneous Laser Heating Finally, Section 5 presents the conclusions and introduces the future work.Ģ.1. Section 4 discusses the obtained results for different test cases. Section 3 presents the mathematical model and describes the implementation of the proposed algorithm. The remainder of this manuscript is organized as follows: Section 2 discusses the relevant literature. Furthermore, each laser beam trajectory is allowed to be independent from the others, with different time-dependent parameters, trajectories and time frames (i.e., each laser beam can be turned on/off independently at any point of the simulation). As a consequence, our algorithm is able to run complex simulations with large time/space domains and complex multi-laser trajectories at interactive time rates. This analytic solution does not require a mesh nor a fine time discretization to solve the problem. This manuscript presents a simulation approach for the multi-beam laser heating problem based on an analytic solution to the heat equation on rectangular domains. Such discretizations imply high computational costs, which limit the application of these approaches in real manufacturing scenarios with large time/space domains and complex laser trajectories.
Current simulation approaches rely on numerical schemes which require fine geometry and time discretizations. An adequate selection of laser parameters and a correct path planning allows for improving the efficiency of the process and minimizes material damage and waste. Thermal simulation is crucial for temperature and stress analysis of manufactured pieces. Industrial applications of multi-beam heating of sheet metal include laser forming and bending, laser cutting and additive manufacturing. In contrast to single-beam heating, multi-beam heating provides two main advantages to the former: (1) the ability to process different locations of the sheet simultaneously, and (2) control of thermal stress levels by specific multi-beam configurations. Multi-beam laser heating of sheet metal is a relevant metalworking technique which has arisen interest of researchers in the last years.
Ongoing work addresses thermal stress coupling and laser ablation. The presented method is already integrated into an interactive simulation environment for sheet cutting. Our implementation in a GPU device allows simulations at interactive rates even for a large amount of simultaneous laser beams. In addition, the method allows complete asynchronous laser beams with independent trajectories, parameters and time frames. Contrary to standard numerical methods, our algorithm is based on an analytic solution in the frequency domain, allowing arbitrary time/space discretizations without loss of precision and non-monotonic retrieval of the temperature history. To overcome this limitation, this manuscript presents an algorithm for interactive simulation of the transient temperature field on the sheet metal. Current simulation approaches for heat transfer analysis (1) rely on numerical Finite Element methods (or any of its variants), non-suitable for interactive applications and (2) require the multiple laser beams to be completely synchronized in trajectories, parameters and time frames. Interactive multi-beam laser machining simulation is crucial in the context of tool path planning and optimization of laser machining parameters.
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