Mathematical methodology for optimization of the clamping forces accounting for workpiece vibratory behaviour

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.

Numerical investigation of dimple-texturing on the turning performance of hardened AISI H-13 steel

“…At higher feed rates, finite element simulation outcomes of overall cutting force are significantly nearer to experimental results [12]. As material is machined from the work piece, the minimal essential clamping forces are observed to reduce [13].…”

Thin floor milling using moving support

“…Their investigation considered the varying contact force and friction force during clamping. Chaari et al [10] optimized the clamping force of the xture based on the particle swarm optimization (PSO) method. Chen et al [11] optimized the layout and the applied clamping force.…”

Finite element modeling and random vibration analysis of BGA electronic package soldered using lead free solder alloy − Sn-1Cu-1Ni-1Ag

“…A linear analytical model with viscous model is proposed in this study to reproduce the response of the model to medium intensity excitations [11]. In another study, the dynamic behavior of the fixtured workpiece subjected to time-and space-varying machining loads is simulated using a forced vibration model [12]. Topology optimization of structures with damping that is exposed to harmonic force excitation with prearranged frequency higher than its natural resonance frequency is done in another study [13].…”