Superposition method to reduce the computation time in shape-memory alloy-based tool clamp design

Recent developments in small hard components, such as those used in medical devices, have led to more stringent requirements of the machining process. Many high-precision technologies have been developed to machine such components. The tool clamp is an important part of a machine tool, and collet chuck tool clamp systems are widely used for small spindles. However, use of small precision tool clamps with commercial spindle chucks is limited by the inherent complexity of the operating mechanism. To address this, we describe a shape-memory alloy tool clamp that has a simple structure and can provide sufficient tool-clamping force. We describe the deformation of the tool clamp analytically, where a surface load is placed on an arbitrary location on the tool clamp via a shape-memory alloy ring. We used a superposition method to predict the deflection of the tool clamp, which could be done quickly because we did not require iterative calculations. The simulation results are compared with experimental measurements of the deflection.