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This paper aims at finding an optimal design of a shape memory alloy (SMA) actuator that guarantees a required reliability level under uncertainties parameters. The SMA actuator is composed of two NiTi membranes which, at room temperature, are in a martensitic state. They have an initial at shape and are bonded together with an intermediate spacer. The motion of the actuator is caused by the heating or cooling of its membranes. This paper proposes a methodology to find the best adjustment between cost and safety. Accordingly, several methods are developed, such as the hybrid method (HM) and the robust HM (RHM) to reach this purpose. The objective of this work is to present an extension of these methods in case of the SMA material. In fact, in this case, these methods may lead to an infeasible solution. Then, a method called improved RHM (IRHM) is proposed to overcome the difficulties of other ones. The obtained results showed the effectiveness and efficiency of the IRHM for treating the reliability-based design optimization problem of the SMA actuator.

A robust method for the reliability-based design optimization of shape memory alloy actuator