The xyzr algorithm specialized for eigenvibration problem of bored and laminated objects

We can determine elastic properties of an object from its eigenvibration fr equencies, as long as a numerical calculation algorithm is available for th e eigenvibration frequencies. The xyz algorithm developed by Visscher ct al . [1] is an extremely versatile method applicable even for anisotropic, inh omogeneous, and irregular-shaped objects, with the exception of bored and l aminated systems. I examined the characteristics and performance of the ori ginal xyz algorithm, and succeeded in developing the xyzr algorithm for bor ed and laminated sphere and cylinder. The accuracy and convergency of the x yzr algorithm are examined by comparison with analytical solutions; the met hod is accurate enough for us to develop a new experimental technique to ob tain the elastic properties of soft materials accommodated in a solid conta iner. (C) 2000 Academic Press.