Optimal design of a flexural actuator. (English) Zbl 1017.74046
Summary: We design a weight flexural actuator. The actuator comprises a triangular corrugated core with shape memory alloy (SMA) faces. It is clamped at one end and free at the other. For design and optimization, the temperature history of face sheets upon heating and subsequent cooling is first obtained as a function of the cooling efficiency (Biot number), and the operational frequency is deduced. Based upon this response, we employ a phenomenological model to represent the martensite evolution. Thereafter, the end deflection is calculated as a function of temperature. The minimum weight is calculated subject to the provisos that: (i) the end deflection attains a specified value; (ii) the power consumed is less than the upper limit of the supply; and failure is averted by (iii) face/core yielding and (iv) face/core buckling; (v) the operational frequency of the panel achieves a specified limit.
MSC:
| 74M05 | Control, switches and devices (“smart materials”) in solid mechanics |
| 74P05 | Compliance or weight optimization in solid mechanics |
| 74F05 | Thermal effects in solid mechanics |
Keywords:
phase transformation; optimization; Biot number; weight flexural actuator; shape memory alloy; temperature history; operational frequency; martensite evolutionReferences:
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