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Digital–Analog Piezoactuator for Nanotechnology and Robotics
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The structural model of the drive for nanobiotechnology is obtained. The structural scheme of the drive is constructed. In nanobiotechnology for the control systems with the drive its deformations are determined.
This work determines the coded control of a sectional electroelastic engine at the elastic–inertial load for nanomechatronics systems. The expressions of the mechanical and adjustment characteristics of a sectional electroelastic engine are obtained using the equations of the electroelasticity and the mechanical load. A sectional electroelastic engine is applied for coded control of nanodisplacement as a digital-to-analog converter. The transfer function and the transient characteristics of a sectional electroelastic engine at elastic–inertial load are received for nanomechatronics systems.
A electroelastic engine with a longitudinal piezoeffect is widely used in nanotechnology for nanomanipulators, laser systems, nanopumps, and scanning microscopy. For these nanomechatronics systems, the transition between individual positions of the systems in the shortest possible time is relevant. It is relevant to solve the problem of optimizing the nanopositioning control system with a minimum control time. This work determines the optimal control of a multilayer electroelastic engine with a longitudinal piezoeffect and minimal control time for an optimal nanomechatronics system. The expressions of the control function and switching line are obtained with using the Pontryagin maximum principle for the optimal control system of the multilayer electroelastic engine at a longitudinal piezoeffect with an ordinary second-order differential equation of system. In this optimal nanomechatronics system, the control function takes only two values and changes once.
In this work, the parametric structural schematic diagrams of a multilayer electromagnetoelastic actuator and a multilayer piezoactuator for nanomechanics were determined in contrast to the electrical equivalent circuits of a piezotransmitter and piezoreceiver, the vibration piezomotor. The decision matrix equation of the equivalent quadripole of the multilayer electromagnetoelastic actuator was used. The structural-parametric model, the parametric structural schematic diagram, and the matrix transfer function of the multilayer electromagnetoelastic actuator for nanomechanics were obtained.
The generalized parametric structural schematic diagram, the generalized structural-parametric model, and the generalized matrix transfer function of an electromagnetoelastic actuator with output parameters displacements are determined by solving the wave equation with the Laplace transform, using the equation of the electromagnetolasticity in the general form, the boundary conditions on the loaded working surfaces of the actuator, and the strains along the coordinate axes. The parametric structural schematic diagram and the transfer functions of the electromagnetoelastic actuator are obtained for the calculation of the control systems for the nanomechanics. The structural-parametric model of the piezoactuator for the transverse, longitudinal, and shift piezoelectric effects are constructed. The dynamic and static characteristics of the piezoactuator with output parameter displacement are obtained.
The field of mechatronics using piezoelectric and electrostrictive materials is growing rapidly with applications in many areas, including MEMS, adaptive optics, and adaptive structures. Piezoelectric Actuators and Ultrasonic Motors provides in-depth coverage of the theoretical background of piezoelectric and electrostrictive actuators, practical materials, device designs, drive/control techniques, typical applications, and future trends in the field. Industry engineers and academic researchers in this field will find Piezoelectric Actuators and Ultrasonic Motors an invaluable source of pertinent scientific information, practical details, and references. In the classroom, this book may be used for graduate level courses on ceramic actuators.
We obtained the deformation, the structural diagram, the transfer functions and the characteristics of the actuator nano and micro displacements for composite telescope in astronomy and physics research. The mechanical and regulation characteristics of the actuator are received.
The structural model of the electroelastic engine for nanobiomedicine is determined. The structural scheme of the engine is constructed. For the mechatronics systems with the elecroelastic engine its deformations are obtained.
The decision of wave equation, the structural-parametric model, the structural diagram, the transfer functions of a piezoactuator for nanoscience and nanotechnology are determined. Effects of geometric and physical parameters of a piezoactuator and the external load on its dynamic characteristics are determined. The structural diagram and the transfer functions of a piezoactuator for the transverse, longitudinal, shift piezoelectric effects are obtained from the structural-parametric model of a piezoactuator in contrast to Cady’s and Mason’s electrical equivalent circuits of a piezotransducer. For calculation of the mechatronics systems for nanoscience and nanotechnology with a piezoactuator its the structural diagram and the transfer functions are obtained. The generalized structural diagram of a piezoactuator is constructed.
The mathematical models of a piezoengine are determined for nanomedicine and applied bionics. The structural scheme of a piezoengine is constructed. The matrix equation is obtained for a piezoengine.
The electroelastic actuator on the piezoelectric or electrostriction effects is applied in nanomechatronics, nanotechnology, nanoresearch, nanobiology and adaptive optics. In this work the Yakubovich criterion absolute stability of the nanomechatronics system with the condition on the derivative for the hysteresis nonlinearity of the electroelastic actuator is used. This criterion with the condition on the derivative is development of the Popov absolute stability criterion. The stationary set of the nanomechatronics system with the electroelastic actuator for the hysteresis deformation is the segment of the straight line. This segment has the points of the intersection of the hysteresis partial loops and the straight line. An absolute stability conditions on the derivative for the nanomechatronics systems with the piezo actuator at the longitudinal, transverse and shift piezoeffect are determined. The condition of an absolute stability on the derivative for the nanomechatronics system with the electroelastic actuator under random influences is obtained. For the Lyapunov stable csystem the Yakubovich absolute stability criterion has the simplest representation of the result of the investigation an absolute stability of nanomechatronics system.
The structural model of a piezo engine for composite telescope is constructed. This structural model clearly shows the conversion of electrical energy by a piezo engine into mechanical energy of the control element of a composite telescope. The structural scheme of a piezo engine is determined. For the control systems with a piezo engine its deformations are obtained in the matrix form. This structural model, structural scheme and matrix equation of a piezo engine are applied in calculation the parameters of the control systems for composite telescope.
The characteristics of the nanopositioning electroelastic digital-to-analog converter for communication systems are examined. In the static and dynamic regimes this characteristics are received. The static strain and control characteristics of the nanopositioning electroelastic digital-to-analog converter are obtained. The transfer function of the nanopositioning electroelastic digital-to-analog converter is received.
This book presents new approaches to R&D of piezoelectric actuators and generators of different types based on established, original constructions and contemporary research into framework of theoretical, experimental, and numerical methods of physics, mechanics, and materials science. Improved technical solutions incorporated into the devices demonstrate high output values of voltage and power, allowing application of the goods in various areas of energy harvesting. The book is divided into seven chapters, each presenting main results of the chapter, along with a brief exposition of novel findings from around the world proving context for the author’s results. It presents particular results of the Soviet and Russian schools of Mechanics and Material Sciences not previously available outside of Russia.
The block diagram and the transfer functions of the electromagnetoelastic actuator are received for control systems in nanoscience and nanotechnology. The block diagram of the electromagnetoelastic actuator is reflected the transformation of electrical energy into mechanical energy, in contrast to Cady’s and Mason’s electrical equivalent circuits of piezotransducer. The electromagnetoelasticity equation and the second order linear ordinary differential equation with boundary conditions are solved for calculations the block diagram of the electromagnetoelastic actuator. The block diagram of the piezoactuator is obtained with using the reverse and direct piezoelectric effects. The back electromotive force is determined from the direct piezoelectric effect equation. The transfer functions of the piezoactuators are obtained for control systems in nanoscience and nanotechnology.
A structural parametric model of the multilayer electro-magneto-elastic actuator of nano and micro displacements is obtained based on solving matrix equations and used to find its transfer functions. Static and dynamic characteristics of such actuator are calculated. Multidimensional structural parametric model and parametric structural block diagram of the actuator are constructed. The way its geometric and physical parameters as well as the external load affect the actuator’s static and dynamic characteristics is found.
The use of the solution to the wave equation to construct a generalized structural parametric model of an electromagnetoelastic transducer to determine the effect of its geometry and physical parameters is discussed. High-precision electromechanical drives are operated under working loads ensuring elastic strains of the executive device. Piezoelectric transducers are characterized by high piezoelectric moduli and they are frequently used to produce nanoscale displacements. The solution of the wave equation supplemented with the corresponding electromagnetoelasticity equation and boundary conditions on the transducer's two working surfaces allows to construct a structural parametric model of an electromagnetoelastic transducer. The transfer functions of a piezoelectric transducer are derived from its generalized structural parametric model and are obtained as the ratio of the Laplace transform of the transducer face displacement to the Laplace transform of the input electric parameter.
A study was conducted to prepare a structural parametric model of a pie piezoelectric nanodisplacement transducer. The structural parametric model was prepared to investigate the potential application of the piezoelectric transducer in the equipment of nanotechnology, microbiology, microelectronics, astronomy, for high-precision superposition, compensation, and wavefront correction. It was found that the piezoelectric transducer operates on the basis of the inverse piezoelectric effect, in which a displacement is due to the deformation of the piezoelectric element, caused by the application of an external electric voltage. The wave equations also needed to solved, to construct a structural parametric model of the voltage-controlled piezoelectric transducer.
Piezo transducers for micro motion drives
- S M Afonin
Multilayer piezoelectric actuators and peculiarities of their application
- V M Klimashin
- V G Nikiforov
- A Safronov
- Ya
Actuators for optical shutters and methods of dimensions of their characteristics
- V K Kazakov
- V G Nikiforov
- A Safronov
- Ya
- V A Chernov
Pretsizionnye elektromekhanicheskie sistemy (Precision Electromechanical Systems)
- S M Afonin