Title : 
P2O-5 Analysis of a Raylegih-Bishop Model for a Thick Bar
         
        
            Author : 
Gai, Ying ; Fedotov, Igor ; Shatlov, Michael
         
        
            Author_Institution : 
Dept. of Math. Technol., Tshwane Univ. of Technol., Pretoria
         
        
        
        
        
        
            Abstract : 
In this paper we consider a very important model Rayleigh-Bishop model. We construct the analytic solutions using the Green function. Two types of orthogonality are derived. One example is given for the Rayleigh-Bishop equation with constant coefficients
         
        
            Keywords : 
Green´s function methods; bars; elastic waves; piezoelectricity; ultrasonic transducers; vibrations; Green function; Raylegih-Bishop model; Rayleigh-Bishop equation; analytic solutions; orthogonality; thick bar; Africa; Bars; Boundary conditions; Equations; Green function; Lagrangian functions; Mathematical model; Resonance; Resonant frequency; Stress;
         
        
        
        
            Conference_Titel : 
Ultrasonics Symposium, 2006. IEEE
         
        
            Conference_Location : 
Vancouver, BC
         
        
        
            Print_ISBN : 
1-4244-0201-8
         
        
            Electronic_ISBN : 
1051-0117
         
        
        
            DOI : 
10.1109/ULTSYM.2006.481