Ankara : The Department of Electrical and Electronics Engineering and the Institute of Engineering and Sciences of Bilkent Univ., 1999.Thesis (Ph.D.) -- Bilkent University, 1999.Includes bibliographical references leaves 78-84.Shrinking device dimensions in integrated circuit technology made integrated circuits
with millions of components a reality. As a result of this advance, electrical circuit simulators
that can handle very large number of components have emerged. These programs
use new circuit simulation techniques which approximate the system with reduced order
models, and can find solutions accurately and quickly. This study proposes formulating
the structural mechanics problems using FEM, and then employing the recent speedup
techniques used in circuit simulation. This is obtained by generating an equivalent
resistor-inductor-capacitor circuit containing controlled sources. We analyze the circuits
with general-purpose circuit simulation programs, HSPICE, and an in-house developed
circuit simulation program, MAWE, which makes use of generalized asymptotic waveform
evaluation (AWE) technique. AWE is a moment matching technique that has been
successfully used in circuit simulation for solutions of large sets of equations. Several
examples on the analysis of the displacement distributions in rigid bodies have shown
that using circuit simulators instead of conventional FEM solution methods improves
simulation speed without a significant loss of accuracy. Pole analysis via congruence
transformations (PACT) technique is a recent algorithm used for obtaining lower order
models for large circuits. For a further reduction in time, we employed a similar algorithm
in structural mechanics problems before obtaining the equivalent circuit. The
results are very promising.Ekinci, Ahmet SuatPh.D