Solution Algorithm of Large Scale Eigenvalue Analysis with Damping.

CONSTRAINED BIG BANG-BIG CRUNCH ALGORITHM FOR OPTIMAL SOLUTION OF LARGE SCALE RESERVOIR OPERATION PROBLEM

A constrained version of the Big Bang-Big Crunch algorithm for the efficient solution of the optimal reservoir operation problems is proposed in this paper. Big Bang-Big Crunch (BB-BC) algorithm is a new meta-heuristic population-based algorithm that relies on one of the theories of the evolution of universe namely, the Big Bang and Big Crunch theory. An improved formulation of the algorithm na...

Kron's Method" An Algorithm for the Eigenvalue Analysis of Large-Scale Structural Systems

,Summary In this report, the Kron eigenvalue procedure is established by the application of Hamilton's principle to a constrained primitive Lagrangian, comprising the characteristics of the various subsystems into which a composite system is 'torn' to facilitate analysis. The computational merits of the method are outlined-particularly in relation to a scanning algorithm derived from a procedur...

ARPACK users' guide - solution of large-scale eigenvalue problems with implicitly restarted Arnoldi methods

Numerical Solution of Large Nonsymmetric Eigenvalue Problems

Eigenvalue Solution of Thermoelastic Damping in Beam Resonators Using a Finite Element Analysis

A finite element formulation is developed for solving the problem related to thermoelastic damping in beam resonator systems. The perturbation analysis on the governing equations of heat conduction, thermoleasticity, and dynamic motion leads to a linear eigenvalue equation for the exponential growth rate of temperature, displacement, and velocity. The numerical solutions for a simply supported ...