Techniques and structures for providing flexibility of a micromachined transducer array. In an embodiment, a transducer array includes a plurality of transducer elements each comprising a piezoelectric element and one or more electrodes disposed in or on a support layer. The support layer is bonded to a flexible layer including a polymer material, wherein flexibility of the transducer array results in part from a total thickness of a flexible layer. In another embodiment, flexibility of the transducer array results in part from one or more flexural structures formed therein.