Abstract
This paper addresses the problem of determining the minimum clamping forces that ensure the dynamic fixturing stability. The clamping force optimization problem is formulated as a bi-level nonlinear programming problem and solved using a computational intelligence technique called particle swarm optimization (PSO). Indeed, we present an innovative simulation methodology that is able to study the effects of fixture-workpiece system dynamics and the continuously change due to material removal on fixturing stability and the minimum required clamping forces during machining. The dynamic behaviour of the fixtured workpiece subjected to time-and space-varying machining loads is simulated using a forced vibration model based on the regenerative vibrations of the cutter and workpiece excited by the dynamic cutting forces. Indeed, Material removal significantly affects the fixture-workpiece system dynamics and subsequently the minimum clamping forces required for achieving fixturing dynamic stability.
Highlights
In reality, machining processes such as milling are characterized by periodic forces
This paper presents a dynamic model that study the effects of fixture-workpiece system dynamics and the continuously change due to material removal on fixturing stability and the minimum required clamping forces during machining
This paper addresses the problem of determining the minimum required clamping forces that ensure the fixture-workpiece dynamic stability during machining
Summary
In reality, machining processes such as milling are characterized by periodic forces. This paper presents a dynamic model that study the effects of fixture-workpiece system dynamics and the continuously change due to material removal on fixturing stability and the minimum required clamping forces during machining. A number of researchers (e.g., Wang et al [11], Tao et al [12], Liu and Strong [13]) proposed the idea of dynamic clamping because the minimum clamping loads required to stabilize a workpiece are dependent on the position of the cutting tool They selected sampled toolpath points where the peak machining force was assumed to act and the clamping forces were adjusted using static linear or nonlinear optimization models. Insight into the effects of fixture-workpiece system dynamics and its continuous change due to material removal on fixturing stability and the minimum required clamping forces is obtained
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