

Mechanical interaction of two current-carrying loops can be represented as follows: one loop generates a magnetic field which acts on the other loop and vice versa. The force acting on a current-carrying conductor in a magnetic field is defined by the following formula Determination of the magnetic field of the coilĮlectrodynamic method is based on the Amper's law. The problem was not considered in scientific literature despite its relevance to the development of modern non-explosive seismic prospecting techniques.ġ. The paper presents a model of the electrodynamic impact excitation of seismic waves. A common feature of these systems is the presence of at least one inductor to generate a magnetic field. They are classified into three categories: electromagnetic, electrodynamic and inductive-dynamic systems. Electrical systems are relatively simple in design and they are easy to control systems. To generate powerful seismic wave various techniques are used, such as explosives, hydrop-neumatic, inertial and electric systems. Keywords: magnetic induction, inductance, modeling, Ampere's law, magnetic field, circular coil. The results of experiments and simulations are presented. Received, received in revised form, accepted The paper deals with the problem of mechanical interaction between two planar inductors. Siberian Federal University, Kirenskogo, 28, Krasnoyarsk, 660041 Institute of Engineering Physics and Radio Electronics, (Notation that is associated with electrical and mechanical boundary conditions is discussed in Appendix G: Understanding piezoelectric constants.) Langevin transducerĪlmost all piezoelectric transducers for power ultrasonics are of the Langevin type - i.e.Determination of Mechanical Force between two Planar Inductors in the Problem of Electrodynamic Excitation of Seismic Waves This notation will be used in the next section and elsewhere.

Effect of static stress on \( d_ \) indicates that the (ficticious) parameter \( X \) has an electric field that is parallel to the piezoceramic's polarization (in the "3" direction) and a resulting stress or strain that is transverse to the piezoceramic's polarization (in the "1" direction). Effect of electric field strength on piezoceramic permittivity Effect of electric field strength on piezoceramic \( tan\delta \) Transducer design for improved prestress uniformity Pressure distribution across transducer piezoceramics at back-driver/piezoceramic interface Effect of prestress and temperature on d33 for PZT4 piezoceramic Impedance at 300 ma - optimized piezoceramic prestress Impedance versus current for various stack prestress Piezoelectric transducer components (center bolt design, 33 mode) 20 kHz industrial transducer with six piezoceramics (33 mode) Appendix J: Comparison - series resonance and parallel resonance.Appendix H: Effect of stack bolt on electromechanical coupling coefficient.Appendix G: Understanding piezoelectric constants.

Appendix E: Piezoceramic electromechanical specifications.

