Title :
Initial and boundary conditions in multidimensional wave digital filter algorithms for plate vibration
Author :
Tseng, Chien-Hsun ; Lawson, Stuart
Author_Institution :
Sch. of Eng., Univ. of Warwick, Coventry, UK
Abstract :
Recently, multidimensional wave digital filter (MDWDF) structures have been proposed for the modeling of plate vibration problems. In this paper, we discuss how initial and boundary conditions may be properly embedded into such an algorithm in terms of the state quantities that are an integral part of the algorithm. Due to the essential feature of fully-local interconnectivity in the MDWDF model, different types of boundary conditions can be easily satisfied in a very simple and efficient manner. Instead of remodifying the whole algorithm, usually required by finite elements based methods, boundary conditions in terms of state outputs are simply attached to the model. This feature is especially useful when dealing with the mixed-edges boundary conditions frequently encountered in practice. Graphical results obtained from implementing the MDWDF algorithm are given to further demonstrate the capacities of the method in efficiently handling a fourth-order Mindlin plate vibration system with various types of boundary conditions.
Keywords :
boundary-value problems; multidimensional digital filters; partial differential equations; vibrations; wave digital filters; Courant-Friedrichs-Levy bound; Kirchhoff circuit; boundary conditions; finite elements based methods; fourth-order Mindlin plate vibration system; fully-local interconnectivity; golden section search method; initial conditions; losslessness; multidimensional wave digital filter algorithms; partial differential equations; passivity; stability; state outputs; state quantities; trapezoidal rule; Boundary conditions; Circuit stability; Computational modeling; Digital filters; Finite difference methods; Finite element methods; Integrated circuit interconnections; Multidimensional systems; Partial differential equations; Vibrations; Courant–Friedrichs–Levy bound; Kirchhoff circuit; MDWDF; Mindlin system; PDEs; golden section search method; losslessness; multidimensional wave digital filters; partial differential equations; passivity; stability; trapezoidal rule;
Journal_Title :
Circuits and Systems I: Regular Papers, IEEE Transactions on
DOI :
10.1109/TCSI.2004.832796