Inchworm Motors
Inchworm motors represent a class of non-resonant piezoelectric actuators designed for precise linear motion through a quasi-static, stepwise mechanism that emulates the incremental gait of an inchworm.[51] This approach relies on alternating activation of multiple piezoelectric elements to clamp and extend along a shaft, enabling controlled displacement without reliance on resonant vibrations.[22] The core operation involves a repeating cycle where clamping elements secure the position while an extender element advances the load, producing cumulative steps for long-range travel.[51]
The fundamental design incorporates a stack of piezoelectric actuators, typically three in configuration: two outer clamping elements and a central extender or pusher.[51] Each clamp features friction pads or jaws that grip a central drive shaft, while the extender uses longitudinal deformation to push or pull the assembly.[22] Voltage is applied via a multi-channel controller to sequence the elements, with clamps operating in a binary on-off mode and the extender following a staircase waveform for incremental extension.[51]
The stepping sequence unfolds in four phases to generate forward motion. In phase one, the first clamp activates with a high voltage (typically 100-200 V) to grip the shaft firmly.[51] Phase two applies a rising staircase voltage to the extender, causing it to elongate gradually and advance the unclamped end of the motor housing along the shaft.[51] In phase three, the second clamp engages to secure the new position while the first clamp deactivates and releases.[51] Finally, phase four contracts the extender via a descending voltage ramp, returning it to its rest length before the cycle repeats for the next step.[51] Reverse motion follows a mirrored sequence.[51]
These motors deliver nanometer-scale step resolution, often below 10 nm per cycle, due to the fine control of piezoelectric deformation.[22] Travel speeds are generally low, ranging from micrometers per second to under 10 mm/s, prioritizing precision over velocity compared to resonant alternatives.[52] Holding forces can exceed 100 N, supported by the passive clamping friction even when unpowered, making them suitable for stable positioning under load.[52]
A seminal example is the Burleigh Inchworm series, introduced in the 1970s by Burleigh Instruments (now part of EXFO), which utilized stacked piezoelectric ceramics for microscopy stages requiring sub-micrometer accuracy over millimeters of travel.[51] These early devices achieved steps as small as 1 nm and speeds up to 5 mm/s, establishing inchworm technology for high-resolution applications in optics and scanning systems.[51]
Slip-Stick and Inertia Motors
Slip-stick and inertia motors represent a class of non-resonant piezoelectric drives that generate motion through the interplay of friction and inertial forces, enabling precise, incremental displacements without relying on ultrasonic resonance, with origins tracing to 1980s developments for applications like microscopy.[3] These motors typically employ a single piezoelectric actuator coupled to a runner or slider via a friction interface, driven by an asymmetric voltage waveform. The core mechanism involves a slow expansion phase where the piezoelectric element elongates gradually, causing the runner to adhere and advance due to static friction (the "stick" phase). This is followed by a rapid contraction phase, where the element retracts quickly, overcoming static friction and allowing the runner to slip relative to the actuator under kinetic friction and its own inertia (the "slip" phase), yielding a net forward step per cycle.[53][54]
Designs often feature a unimorph or bimorph piezoelectric stack or bending actuator in direct or tangential contact with the moving element, utilizing materials like aluminum oxide or steel for the friction surface to maintain consistent coefficients. The driving signal is a sawtooth waveform: a slow voltage ramp (e.g., over milliseconds) for expansion and a near-instantaneous drop for retraction, with frequencies ranging from 100 Hz to several kHz. Single-element configurations provide unidirectional motion, while dual-element setups enable bidirectional operation by alternating phases. Normal force at the interface is provided by springs or inherent preload, ensuring reliable stick-slip behavior across various loads.[53][55][54]
Performance characteristics include sub-micron step sizes, with resolutions down to 1 nm when combined with encoders, and maximum speeds up to 10 mm/s, depending on frequency and load. These motors exhibit self-locking at rest, holding positions with forces up to 10 N without power consumption or heat generation, making them suitable for compact, vacuum-compatible applications. A representative variant is the PIShift series from Physik Instrumente, which integrates tangential or rod drives for linear stages like the Q-545, achieving velocities to 5 mm/s and accelerations over 1000 mm/s² in miniature formats as small as 20 mm wide.[53]
The net step size per cycle depends on the piezoelectric displacement amplitude and the asymmetry in static and kinetic friction coefficients under ideal conditions.[54]
A subtype, the pure inertia motor, propels a moving mass through abrupt piezoelectric release without a dedicated friction runner, relying solely on the inertia of the load for positioning. In this configuration, the actuator deforms slowly to build potential energy, then snaps back rapidly, imparting momentum to the attached mass for open-loop steps, often used in simple, guide-free setups for low-force applications.[56][54]