Ladle Conveyance Velocity Control for Molten Metal Oscillation
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Solution Overview
Problem
The existing methods for calculating conveyance velocity to suppress liquid surface oscillations in ladle conveyance in casting lines are complex and require frequent parameter adjustments, complicating the setting of conveyance velocity, especially when changing ladle positions or conveyance distances.
Innovation Solution
A method involving specific velocity functions over time, represented by formulas, which facilitate easier calculation of conveyance velocity by using S-shaped acceleration and deceleration curves, allowing for simpler parameter determination and reduced complexity in setting conveyance velocities, even when tolerable oscillations are allowed during pouring operations.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Object-affected harmful factors
If liquid simulation is used to calculate conveyance velocity, then liquid surface oscillations can be suppressed, but calculation complexity and parameter adjustment burden increase
Solution Approach 1:
The invention transforms the complex liquid simulation parameters into a simplified S-shaped velocity profile defined by only two parameters: conveyance distance L and conveyance time t0. This parameter reduction maintains oscillation suppression effectiveness while eliminating the need for complex simulations and frequent parameter adjustments when changing ladle positions or distances.
Solution Approach 2:
The invention creates a simplified mathematical model (S-shaped velocity curve) that copies the essential oscillation-suppressing characteristics of complex liquid simulations. This simplified model retains the core functionality of suppressing liquid surface oscillations while being computationally much simpler and easier to apply in practice.
2Manufacturing precision
If conveyance velocity is optimized to suppress oscillations, then pouring accuracy improves, but conveyance time increases
Solution Approach 1:
The invention uses a dynamic S-shaped velocity profile that optimally balances oscillation suppression and conveyance time. The velocity function v(t) = (L/t0) * (t/t0)^2 for acceleration and v(t) = (L/t0) * (1 - (t-t0)/(t0))^2 for deceleration provides smooth transitions that minimize liquid surface oscillations while maintaining efficient conveyance speed, achieving both pouring accuracy and time efficiency.
Data Source
AI summary
A method for calculating a conveyance velocity at which oscillation of a liquid surface is suppressed in conveying a container in which a liquid is accommodated, e.g., a ladle in which molten metal is accommodated. In a graph of conveyance velocity versus conveyance time, an upwardly convex parabola and a downwardly convex parabola having vertical symmetry are prepared in advance, the downwardly convex parabola and the upwardly convex parabola are smoothly connected to form an acceleration curve, the upwardly convex parabola and the downwardly convex parabola are smoothly connected to form a deceleration curve, and the conveyance velocity is obtained from the acceleration curve and the deceleration curve smoothly connected where the slope thereof is zero.