DEVELOPMENT OF MATHEMATICAL MODELS AND METHODS FOR DESIGN OF EQUIVALENT PARAMETERS AND CHARACTERISTICS IN CRYSTAL VIBRATORS OF THICKNESS-SHEAR MODES

The investigation objects are the crystal vibrators of one-turnable V-shear with complex geometry piezoelectric elements and electrodes. The aim is to develop the analysis and synthesis methods of both mono-frequency and multi-mode crystal vibrators with piezoelectric elements and electrodes of the complex form at thickness shear modes. The motion equations for the thickness shear modes have been obtained, and the adequate mathematical models of vibrators with variable thickness piezoelectric elements of the turned V-shears permitting to solve the problems connected with analysis and synthesis of the vibrator characteristics have been developed. The stable algorithms for numerical realization and design program of the characteristics and parameters of vibrators with variable thickness axial-symmetric piezoelectric elements taking piezoelectric plate shear angle and ambient temperature into consideration have been developed. The analysis and synthesis methods, computer programs and recommendations on the optimum geometries of piezoelectric element have been introduced. Application field: radio engineering, radiolocation, computer and measurement engineering, radio communication, time and frequency standardsAvailable from VNTIC / VNTIC - Scientific & Technical Information Centre of RussiaSIGLERURussian Federatio