A microelectromechanical resonator includes a support structure, a resonator element suspended to the support structure, and an actuator for exciting the resonator element to a resonance mode. The resonator element includes a plurality of adjacent sub-elements each having a length and a width and a length-to-width aspect ratio of higher than 1 and being adapted to a resonate in a length-extensional, torsional or flexural resonance mode. Further, each of the sub-elements is coupled to at least one other sub-element by one or more connection elements coupled to non-nodal points of the of said resonance modes of the sub-elements for exciting the resonator element into a collective resonance mode.

A continuous or distributed resonator geometry is defined such that the fabrication process used to form a spring mechanism also forms an effective mass of the resonator structure. Proportional design of the spring mechanism and/or mass element geometries in relation to the fabrication process allows for compensation of process-tolerance-induced fabrication variances. As a result, a resonator having increased frequency accuracy is achieved.

In an embodiment, a tunable stiffness mechanical filter is provided including an input coupler to a negative stiffness structure with a negative stiffness characteristic, and further including a tuner for tuning the negative stiffness structure. An output sensor is located along the negative stiffness structure. The filter may include an amplifier and/or a driver coupled between the output sensor and the negative stiffness structure.

Embodiments of the invention include a filtering device that includes a first electrode, a piezoelectric material in contact with the first electrode, and a second electrode in contact with the piezoelectric material. The piezoelectric filtering device expands and contracts laterally in a plane of an organic substrate in response to application of an electrical signal between the first and second electrodes.

Embodiments of the invention include a piezoelectric resonator which includes an input transducer having a first piezoelectric material, a vibrating structure coupled to the input transducer, and an output transducer coupled to the vibrating structure. In one example, the vibrating structure is positioned above a cavity of an organic substrate. The output transducer includes a second piezoelectric material. In operation the input transducer causes an input electrical signal to be converted into mechanical vibrations which propagate across the vibrating structure to the output transducer.

A method for manufacturing a resonator that effectively addresses variations in resistivity for each wafer. The method for manufacturing a resonator includes forming a Si oxide film on a surface of a degenerated Si wafer, where the Si oxide film has a thickness set that is based on the doping amount of impurity in the degenerated Si wafer.

A method of timing a resonant frequency of a nanoelectromechanical systems (NEMS) drum device is performed by applying a gate voltage between the drum membrane [100] and a back gate [104] to alter the resonant frequency of the membrane to a desired frequency; photoionizing the drum membrane with a laser to detune the membrane resonant frequency to a ground state frequency; and releasing the gate voltage to set the membrane to the desired resonant frequency. The method provides the basis for various applications including NEMS memory and photodetection techniques. The NEMS device may be implemented as a graphene/hBN membrane [100] suspended on a Si02 layer [102] deposited on a Si substrate [104].

A microelectromechanical resonator includes a support structure, a resonator element suspended to the support structure, and an actuator for exciting the resonator element to a resonance mode. The resonator element includes a plurality of adjacent sub-elements each having a length and a width and a length-to-width aspect ratio of higher than 1 and being adapted to a resonate in a length-extensional, torsional or flexural resonance mode. Further, each of the sub-elements is coupled to at least one other sub-element by one or more connection elements coupled to non-nodal points of the of said resonance modes of the sub-elements for exciting the resonator element into a collective resonance mode.

A microelectromechanical (MEMS) resonator includes a resonator structure having a plurality of beam elements and connection elements with certain geometry, where the plurality of beam elements are positioned adjacent to each other and adjacent beam elements are mechanically connected to each other by the connection elements, where the geometry of the beam elements or the connection elements varies within the resonator structure.

A moveable micromachined member of a microelectromechanical system (MEMS) device includes an insulating layer disposed between first and second electrically conductive layers. First and second mechanical structures secure the moveable micromachined member to a substrate of the MEMS device and include respective first and second electrical interconnect layers coupled in series, with the first electrically conductive layer of the moveable micromachined member and each other, between first and second electrical terminals to enable conduction of a first joule-heating current from the first electrical terminal to the second electrical terminal through the first electrically conductive layer of the moveable micromachined member.