研究目的
Estimating the unknown time-dependent heat input in laser surface hardening based on the dual-phase-lag model.
研究成果
The method proposed can accurately estimate the time-dependent laser heat input for the problem even involving inevitable measurement errors. The results indicate that the estimated results are in very good agreement with those of exact values.
研究不足
The study does not have a real experimental setup to measure the temperature, instead, simulated data with added random errors are used. The accuracy of the estimation may deteriorate as the measurement position moves away from the heated surface.
1：Experimental Design and Method Selection:
The conjugate gradient method (CGM) and the discrepancy principle are used to estimate the unknown time-dependent heat input by using the simulated temperature measurements. The CGM transforms the inverse problem to the solution of three problems: the direct, the sensitivity, and the adjoint problems.
2：Sample Selection and Data Sources:
Simulated experimental data are generated by adding random errors to the calculated exact temperatures for the boundary and interior of the medium.
3：List of Experimental Equipment and Materials:
A cylindrical bar is considered, subjected to a laser beam at its base side. The sides of the cylindrical surface are attached by a highly insulated material.
4：Experimental Procedures and Operational Workflow:
The direct problem is solved by the Laplace transform method along with the control volume method and shape function. The inverse method of CGM is used to predict the laser heat input function from the knowledge of temperature measurements.
5：Data Analysis Methods:
The residual functional is minimized to estimate the laser heat input function. The influence of the measurement error and the measurement location upon precision of the estimated results is investigated.
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