Stable methods to solve the impedance matrix for radially inhomogeneous cylindrically anisotropic structures
نویسندگان
چکیده
منابع مشابه
Wave Impedance Matrices for Cylindrically Anisotropic Radially Inhomogeneous Elastic Solids
Impedance matrices are obtained for radially inhomogeneous structures using the Stroh-like system of six first-order differential equations for the time-harmonic displacement-traction 6-vector. Particular attention is paid to the newly identified solid-cylinder impedance matrix Z(r) appropriate to cylinders with material at r = 0, and its limiting value at that point, the solid-cylinder impedan...
متن کاملLongitudinal Impedance of Simple Cylindrically Symmetric Structures
m ABSTRACT A method derived' for calculation of electromagnetic fields of a point charge moving along an axis of cylindrically symmetric structures is applied here to cavities and collimators with side tubes. The longitudinal impedance for such structures is calculated. In particular, the impedance for a pipe loaded with a thin washer is also calculated. It is shown that for large particle ener...
متن کاملA stable iteration to the matrix inversion
The matrix inversion plays a signifcant role in engineering and sciences. Any nonsingular square matrix has a unique inverse which can readily be evaluated via numerical techniques such as direct methods, decomposition scheme, iterative methods, etc. In this research article, first of all an algorithm which has fourth order rate of convergency with conditional stability will be proposed. ...
متن کاملTorsion of cylindrically poroelasic circular shaft with radial inhomogeneity .some exact solutions for extruder
Torsion of elastic and poroelastic circular shaft of radially inhomogeneous, cylindrically orthotropic materials is studied with emphasis on the end effects example for extruder. To examine the conjecture of Saint-Venant’s torsion, we consider torsion of circular shaft with one end fixed and the other end free on which tractions that results in a pure torque are prescribed arbitrarily over the fr...
متن کاملUltrasonic Imaging of Defects in Known Anisotropic and Inhomogeneous Structures with Fast Synthetic Aperture Methods
Imaging methods like Synthetic Aperture Focusing Technique (SAFT) are based on the principle of propagation of the measured ultrasonic wave field back to field sources. In the case of a pulse-echo measurement, this back propagation under some approximating conditions leads to an image of the scattering object with well known properties and imperfections. The back propagation through the object ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Sound and Vibration
سال: 2013
ISSN: 0022-460X
DOI: 10.1016/j.jsv.2012.12.016