Title : 
Non-equidistant structure of a frequency spectrum of a piezoelectric resonator with an arbitrary convex surface
         
        
            Author : 
Emelianova, T.V. ; Nedorezov, S.S. ; Shmaliy, O.Yu.
         
        
            Author_Institution : 
Ukrainian Eng.-Pedagogical Acad., Universytets´´ka
         
        
        
        
        
        
            Abstract : 
Frequency spectrum of piezoelectric resonator with an arbitrary convex surface concerning non-equidistance of spectrum to the frequency square is obtained. An analysis of obtained spectrum taking into consideration small curvature 1/R of convex surface is provided. It is show how non-equidistant spectrum depends on orientation of main directions of normal cuts relative to eigenaxes of anisotropic tensor and on relation of main radiuses of curvature of convex surface
         
        
            Keywords : 
Hermitian matrices; crystal resonators; eigenvalues and eigenfunctions; frequency stability; spectral analysis; tensors; anisotropic tensor; arbitrary convex surface; eigenaxes; eigenvibration; frequency spectrum; frequency square; nonequidistant structure; piezoelectric resonator; spectrum analysis; Anisotropic magnetoresistance; Eigenvalues and eigenfunctions; Equations; Polynomials; Resonant frequency; Shape; Tensile stress;
         
        
        
        
            Conference_Titel : 
Laser and Fiber-Optical Networks Modeling, 2005. Proceedings of LFNM 2005. 7th International Conference on
         
        
            Conference_Location : 
Yalta, Crimea
         
        
            Print_ISBN : 
0-7803-9147-0
         
        
        
            DOI : 
10.1109/LFNM.2005.1553254